Mathematics Alumni
Degree Awarded 2023
Advisor: David Ben-Zvi
Dissertation: Chromatic applications of spectral algebraic geometry
Placement: Johns Hopkins University
Advisor: Luis Caffarelli & Francesco Maggi
Dissertation: The Allen-Cahn Euclidean isoperimetric problem and
the Grad-Mercier equation in Plasma physics
Placement: Johns Hopkins University
Degree Awarded 2022
Advisor: Irene Gamba
Dissertation: COERCIVENESS, WELL-POSEDNESS, AND BANACH NORMS PROPAGATION OF SOLUTIONS TO THE SYSTEM OF BOLTZMANN EQUATIONS FOR A MONATOMIC GAS MIXTURE
Placement: Algorithm Developer - Trace
Advisor: Samuel Raskin
Dissertation: CATEGORICAL REPRESENTATION THEORY AND THE COARSE QUOTIENT
Placement: UCLA
Advisor: Rachel Ward
Dissertation: TENSOR DIMENSIONALITY REDUCTION AND APPLICATIONS
Placement: University of Wisconsin-Madison
Advisor: Cameron Gordon
Dissertation: SYMMETRIC UNION OF KNOTS, DOUBLE BRANCHED COVERS AND DEHN SURGERY
Placement: University of Georgia
Advisor: Philip Isett & Alexis F Vasseur
Dissertation: SOME ONSAGER'S CONJECTURE TYPE RESULTS FOR A FAMILY OF ODD ACTIVE SCALAR EQUATIONS
Advisor: David Ben-Zvi & Andrew Neitzke
Dissertation: NILPOTENT HIGGS BUNDLES AND FAMILIES OF FLAT CONNECTIONS
Placement: MSRI & Johns Hopkins University
Advisor: Luis Caffarelli & Pablo Raul Stinga
Dissertation: REGULARITY OF ELLIPTIC TRANSMISSION PROBLEMS AND A NEW FAMILY OF INTEGRO-DIERENTIAL OPERATORS RELATED TO THE MONGE-AMPERE EQUATION
Placement: Rutgers University
Advisor: Luis Caffarelli & Francesco Maggi
Dissertation: FULLY NONLINEAR EQUATIONS WITH APPLICATIONS TO GRAD EQUATIONS IN PLASMA PHYSICS. INTERACTION BETWEEN A ONE PHASE FREE BOUNDARY PROBLEM AND AN OBSTACLE PROBLEM. OPTIMAL TRACE SOBOLEV INEQUALITIES
Advisor: Jeff Danciger
Dissertation: HIGHER-RANK GENERALIZATIONS OF CONVEX COCOMPACT AND GEOMETRICALLY FINITE DYNAMICS
Placement: University of Michigan
Advisor: Omar Ghattas & J T Oden
Dissertation: OPTIMAL EXPERIMENTAL DESIGN FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS
Placement: Research Scientist - Meta
Advisor: Omar Ghattas & J T Oden
Dissertation: OPTIMAL EXPERIMENTAL DESIGN FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS
Placement: University of Miami
Advisor: Luis Caffarelli & Alexis Vasseur
Dissertation: PARTIAL REGULARITY RESULTS FOR THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION
Placement: University of Chicago
Degree Awarded 2021
Advisor: Thomas Chen
Dissertation: ON THE DERIVATION AND UNIQUENESS OF THE GROSS-PITAEVSKII HIERARCHY FOR A BOSE GAS COUPLED TO A HEAVY TRACER PARTICLE
Placement: MS Quantum Information Science - University of Southern California
Advisor: David Ben-Zvi & Andrew Blumberg
Dissertation: A CONVENIENT CATEGORY FOR GEOMETRIC TOPOLOGY
Advisor: Daniel Freed
Dissertation: TAKING TOPOLOGICAL FIELD THEORY AT PHASE VALUE
Placement: Postdoc - Purdue University
Advisor: Arie Israel
Dissertation: APPROXIMATE EXTENSION IN SOBOLEV SPACE
Placement: NSF Postdoctoral Fellow - University of Pittsburgh & MIT (+ Moore Instructorship)
Advisor: Arie Israel
Dissertation: APPROXIMATE EXTENSION IN SOBOLEV SPACE
Placement: NSF Postdoc - University of Pittsburgh & MIT (+ Moore Instructorship)
Advisor: David Ben-Zvi & Andrew Blumberg
Dissertation: GEOMETRIC DATA ANALYSIS FOR PHYLOGENETIC TREES AND NON-CONTRACTIBLE MANIFOLDS
Placement: Postdoc - Oxford University
Advisor: Cameron Gordon
Dissertation: TWO-BRIDGE LINKS, PRETZEL KNOTS AND BI-ORDERABILITY
Placement: Postdoc - Oklahoma State University
Advisor: Francesco Maggi
Dissertation: A CAPILLARITY MODEL FOR SOAP FILMS
Placement: NSF postdoc at Courant Institute - New York University
Advisor: Jeffrey Danciger
Dissertation: A LOCAL-TO-GLOBAL PRINCIPLE FOR MORSE QUASIGEODESICS
Placement: Postdoc - University Heidelberg
Advisor: Irene Gamba
Dissertation: THE LANDAU LIMIT OF THE BOLTZMANN EQUATION AND FAST PARTICLE MOTION IN A TOKAMAK
Placement: Assistant Professor of Instruction - The University of Texas at Austin
Advisor: Cameron Gordon
Dissertation: SYMMETRIES OF KNOTS, BRANCHED CYCLIC COVERS, AND L-SPACES
Placement: Postdoc - Georgia Tech
Advisor: Thomas Chen
Dissertation: NONLINEAR SCHRODINGER SYSTEMS ON THE THREE-DIMENSIONAL TORUS
Placement: Senior Professional Staff - Johns Hopkins University - Applied Physics Lab
Advisor: David Ben-Zvi & Andrew Blumberg
Dissertation: ENDO-TRIVIAL MODULES FOR CYCLIC P-GROUPS AND GENERALIZED QUATERNION GROUPS VIA GALOIS DESCENT
Placement: Assistant Adjunct Professor University of California, Los Angeles
Advisor: Thomas Chen
Dissertation: ON THE WEAKLY DISORDERED ANDERSON MODEL AND ASPECTS OF ITS KINETIC SCALING LIMIT TO THE LINEAR BOLTZMANN EQUATION
Degree Awarded 2020
Advisor: Natasa Pavlovic
Dissertation: Higher order extensions of the Boltzmann equation
Placement: New York University
Advisor: Jeffrey Danciger
Dissertation: Cusps and Codimension-1 Flats in Convex Projective Geometrey
Placement: University of Michigan
Advisor: Björn Engquist
Dissertation: Numerical Multiscale Methods for Boundary Layer Problems in Fluid Dynamics
Placement: University of California, Los Angeles
Advisor: Francois Baccelli
Dissertation: On Poisson Follower Model
Placement: Tufts University
Advisor: Bjorn Engquist
Dissertation: Numerical Methods for Averaging and Homogenization
Advisor: Arie Israel
Dissertation: Coordinate-Free Principles for Extension of Smooth Functions
Placement: Striveworks
Advisor: Alexis Vasseur
Dissertation: The L2 Theory of Well-posedness for Hyperbolic Systems of Conservation Laws
Placement: Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany
Advisor: Sean Keel
Dissertation: Compactified Mirror Families for Positive Log Calabi-Yau Surfaces
Placement: Imperial College
Advisor: Lewis Bowen
Dissertation: Non-unique sofic entropy and a von Neumann algebra multiplicative ergodic theorem
Placement: Ben Gurion University of the Negev
Advisor: Thibaud O Taillefumier
Dissertation: OPTIMIZING MUTUAL INFORMATION OVER NEURAL TUNING CURVES
Placement: AI Data Scientist - Change Healthcare
Advisor: Irene M. Gamba
Dissertation: Conservative Spectral Methods of Fokker-Planck-Landau Type Equations: Simulations, Long-time Behaviour and Error Estimates
Placement: Trace
Advisor: Natasa Pavlovic
Dissertation: Old and New Perspectives on Effective Equations: A Study of Quantum Many-Body Systems
Placement: Massachusetts Institute of Technology
Advisor: Alexis Vasseur
Dissertation: The De Giorgi method: Applications to degenerate PDE
Placement: Fields Institute
Advisor: Daniel Freed and Andrew Neitzke
Dissertation: The Ooguri-Vafa as a moduli space of framed wild harmonic bundles
Placement: University of Hamburg
Advisor: Rachel Ward and Leon Bottou
Dissertation: GRADIENT-BASED OPTIMIZATION AND IMPLICIT REGULARIZATION OVER NON-CONVE X LANDSCAPES
Placement: Postdoc - University of Chicago
Degree Awarded 2019
Advisor: Arie Israel
Dissertation: Extremal problems in Fourier analysis, Whitney's theorem, and the interpolation of data
Placement: Princeton University
Advisor: Andrew Blumberg
Dissertation: Andre-Quillen (co)homology and equivariant stable homotopy theory
Advisor: Francois Baccelli
Dissertation: On Spatial Birth-Death and Matching Processes, and Poisson Shot-Noise Fields
Placement: Enthought Inc.
Advisor: Yen-Hsi Tsai
Dissertation: Methods for Solving Hamilton-Jacobi-Equations
Placement: The Boeing Company
Advisor: Francois Baccelli
Dissertation: Coupling and Unimodularity in Stationary Settings
Placement: Chicago Trading Company
Advisor: Alexis Vasseur
Dissertation: A Study of the Three-Dimensional Quasi-Geostrophic System
Placement: New York University
Advisor: Francois Baccelli
Dissertation: Repulsion of Determinantal Point Processes and Stationary Poisson Tessellations in High Dimesions
Placement: California Institute of Technology
Advisor: Sean Keel
Dissertation: On the dual complexes of certain Log Calabi-Yau pairs
Placement: Meridian World School
Advisor: John Luecke
Dissertation: Knot traces and the slice genus
Placement: Massachusetts Institute of Technology
Advisor: Andrew Blumberg
Dissertation: The moduli space of objects in differential graded categories glued along bimodules & a presentability result in the homotopy theory of commutative differential graded algebras
Placement: University of Texas at Austin
Advisor: Daniel Knopf
Dissertation: Curvature Blow-up in Doublywarped Product Metrics Evolving by Ricci Flow
Placement: Arizona State University
Advisor: Andrew Blumberg
Dissertation: Equivariant aspects of topological Hochschild homology
Placement: Brown University
Advisor: Luis A. Caffarelli
Dissertation: Regularity of fractional analogue of k-Hessian operators and a non-local one-phase free boundary problem
Placement: University of Maryland, College Park
Advisor: Andrew Blumberg
Dissertation: Comparison Theorems of Phylogenetic Spaces and Algebraic Fans
Placement: Harvard University
Advisor: Sean Keel
Dissertation: Admissible groups and cluster structures of families of log Calabi-Yau surfaces
Degree Awarded 2018
Advisor: Rachel Ward
Dissertation: Fast high dimensional approximation via random embeddings
Placement: Gilliam IP PLLC
Degree Awarded 2017
Advisor: Dr. Irene Gamba
Dissertation: Global LP Solutions to the Boltzmann Equation with an Angle-Potential Concentrated Collision Kernel
Placement: Prager Assistant Professor of Applied Mathematics, Brown University
Advisor: Dr. Dan Freed
Dissertation: Rectifying Stable Infinity-Categories and Relative Koszul Duality for Operads
Placement: Data Scientist, In-Q-Tel, Washington, DC
Advisor: Dr. Raymond Heitmann
Dissertation: Cardinality Restrictions on Noetherian Spectra
Placement: Gaius Charles Bolin Research Fellow in Mathematics, Williams College
Advisor: Dr. Lewis Bowen, Dr. Amir Mohammadi
Dissertation: Effective Equidistribution Results for Horospherical Actions on the Space of Lattices
Placement: Lecturer, University of Texas at Austin
Advisor: Dr. Gordan Zitkovic
Dissertation: Martingale-Generated Control Structures and a Framework for the Dynamic Programming Principle
Placement: Data Scientist, Spark Cognition, Inc.
Advisor: Dr. Andrew Blumberg
Dissertation: A Weighty Theorem of the Heart for the Algebraic K-Theory of Higher Categories
Placement: Ross Assistant Professor, Ohio State
Advisor: Dr. Thaleia Zariphopoulou
Dissertation: Essays on Forward Portfolio Theory and Financial Time Series Modeling
Placement: Consultant, The Boston Consulting Group (BCG)
Advisor: Dr. Timothy Perutz
Dissertation: Lagrangian Torus Fibrations for Symplectic Torid Degenerations
Placement: Simons Postdoctoral Fellow, University of Pennsylvania
Advisor: Dr. Philip Uri Treisman
Dissertation: Academic Math Mindset Interventions in First Year College Calculus
Placement: Lecturer, University of Texas at Austin
Advisor: Dr. Timothy Perutz
Dissertation: Mapping Tori and Stable Pairs
Placement: Postdoctoral Scholar, University of California Santa Cruz
Advisor: Dr. Mihai Sirbu
Dissertation: Optimal Investment with High-Watermark Fee in a Multi-dimensional Jump Diffusion Model
Placement: Associate, Goldman Sachs NYC
Advisor: Dr. Sean Keel
Dissertation: GHK Mirror Symmetry and the Knutson-Tao Hive Cone
Placement: Postdoctoral Fellow, Instituto de Matematicas Unidad Oaxaca, Mexico
Advisor: Dr. Luis Caffarelli
Dissertation: Least Action Principles with Applications to Gradient Flows and Kinetic Equations
Placement: Postdoctoral Fellow, University of Maryland, College Park
Advisor: Dr. Francesco Maggi, Dr. Allesio Figalli
Dissertation: Minimality and Stability Properties in Sobolev and Isoperimetric Inequalities
Placement: RTG Postdoctoral Fellow, Northwestern University
Advisor: Dr. Felipe Voloch
Dissertation: Differential FPPF Descent Obstructions
Placement: TA Specialist, University of Texas at Austin
Advisor: Dr. Rachel Ward
Dissertation: Relax, Descend, and Certify: Optimization Techniques for Typically Tractable Data Problems
Placement: Moore-Sloan Research Fellow, New York University, Center for Data Science
Advisor: Dr. Luis Caffarelli
Dissertation: Several Regularity Results for Nonlocal Elliptic Equations
Placement: Ritt Assistant Professor, Columbia University
Advisor: Dr. Kui Ren
Dissertation: Hybrid Inverse Problems in Molecular Imaging
Placement: Applied Scientist, Amazon
Advisor: Dr. Kui Ren
Dissertation: Inverse Problems in Photoacoustic Imaging: Analysis and Computation
Placement: Postdoctoral Fellow, University of California, Irvine
Degree Awarded 2016
Advisor: Dr. Felipe Voloch
Dissertation: OBSTRUCTIONS TO THE INTEGRAL HASSE PRINCIPLE FOR GENERALIZED AFFINE CHATELET SURFACES
Placement: Rice University, RTG Lovett Instructor
Advisor: Dr. Dan Freed
Dissertation: Rectifying Stable Infinity-Categories and Relative Koszul Duality for Operads
Placement: Data Scientist, In-Q-Tel, Washington, DC
Advisor: Dr. Andrew Neitzke
Dissertation: WARPING GEOMETRIC STRUCTURES AND ABELIANIZING SL2R LOCAL SYSTEMS
Placement: University of Toronto, Postdoctoral Fellow
Advisor: Dr. Andrew Neitzke
Dissertation: ASYMPTOTIC LIMITS IN THE HITCHIN MODULI SPACE
Placement: Stanford University, Szego Visiting Assistant Professor
Advisor: Dr. Ronny Hadani
Dissertation: EXPLORATIONS IN ALGEBRA AND TOPOLOGY
Placement: Center for Transportation Research, University of Texas at Austin
Advisor: Dr. David Ben-Zvi
Dissertation: THE WONDERFUL COMPACTIFICATION FOR QUANTUM GROUPS
Placement: Institute of Science and Technology Austria, Postdoctoral Researcher
Advisor: Dr. Gordan Zitkovic
Dissertation: RECOVERING THE PAYOFF STRUCTURE OF A UTILITY MAXIMIZING AGENT
Advisor: Dr. Mirela Ciperiani
Dissertation: MULTIPLICATIVE AND DYNAMICAL ANALYSIS ON IDELES AND IDELE CLASS GROUPS
Advisor: Dr. Luis Caffarelli
Dissertation: REGULARITY ESTIMATES FOR SOME FREE BOUNDARY PROBLEMS OF OBSTACLE-TYPE
Placement: McGill University, Postdoctoral Fellow
Advisor: Dr. Andrew Blumberg
Dissertation: ASPECTS OF DERIVED KOSZUL DUALITY
Placement: University of California Los Angeles, NSF Postdoctoral Fellow
Advisor: Dr. Lewis Bowen
Dissertation: Entropy theory for locally compact sofic groups
Placement: Associate, Model Risk, Internal Audit, Goldman Sachs NYC
Advisor: Dr. Irene Gamba
Dissertation: MITTAG-LEFFLER MOMENTS AND WEIGHTED POINTWISE ESTIMATES FOR SOLUTIONS TO THE BOLTZMANN EQUATION FOR HARD POTENTIALS WITHOUT CUTOFF
Placement: University of Pennsylvania, Hans Rademacher Instructor of Mathematics
Degree Awarded 2015
Advisor: Dr. Robert E Gompf
Dissertation: EXOTIC SMOOTHINGS VIA LARGE R4'S IN STEIN SURFACES
Placement: Netflix, Inc.
Advisor: Dr. Mikhail Vishik
Dissertation: ON THE LINEAR STABILITY PROBLEM FOR JEFFERY-HAMEL FLOWS
Advisor: Dr. Yen-Hsi (Richard) Tsai
Dissertation: IMPLICIT BOUNDARY INTEGRAL METHODS
Placement: Quantitative Analyst, Goldman Sachs
Advisor: Dr. Ronny Hadani
Dissertation: LABELING AND DENOISING GEOMETRICALLY PARAMETERIZED DATA WITH APPLICATIONS TO CRYO-EM
Advisor: Dr. Andrew Blumberg
Dissertation: THE ANDRE-QUILLEN SPECTRAL SEQUENCE FOR PRE-LOGARITHMIC RING SPECTRA
Advisor: Dr. Andrew Neitzke
Dissertation: A CONSTRUCTION OF HYPERKÄHLER METRICS THROUGH RIEMANN-HILBERT PROBLEMS
Placement: Indiana University Purdue University Indianapolis
Advisor: Dr. Rachel Ward
Dissertation: STRUCTURED LOW COMPLEXITY DATA MINING
Advisor: Dr. Mihai Sirbu
Dissertation: ASYMPTOTICS FOR OPTIMAL INVESTMENT WITH HIGH-WATER MARK FEE
Current Placement: Insight Data Science, Inc.
Advisor: Dr. Luis Caffarelli
Dissertation: A LOCAL-NONLOCAL TRANSMISSION PROBLEM
Placement: NSF Postdoc, Courant Institute of Mathematical Sciences
Advisor: Dr. Robert E Gompf
Dissertation: SOME CONSTRUCTIONS INVOLVING SURGERY ON SURFACES IN 4-MANIFOLDS
Placement: Postdoc Research Fellow, Renyi Institute, Budapest, Hungary
Advisor: Dr. Gordan Zitkovic
Dissertation: EXISTENCE, CHARACTERIZATION AND APPROXIMATION IN THE GENERALIZED MONOTONE FOLLOWER PROBLEM
Placement: Machine Learning Scientist, Amazon Inc.
Advisor: Dr. Daniel Allcock
Dissertation: THE CLASSIFICATION OF RANK 3 REFLECTIVE HYPERBOLIC LATTICES OVER Z [SQRT-(2)]
Placement: Arizona State University
Advisor: Dr. Jose F. Voloch
Dissertation: INTERPOLATING GAMMA FACTORS IN FAMILIES
Placement: Oklahoma State University
Advisor: Dr. David Ben-Zvi
Dissertation: COORDINATE SYSTEMS AND ASSOCIATIVE ALGEBRAS
Placement: Rabobank (Netherlands); Model Validator
Advisor: Dr. Todd Arbogast
Dissertation: A QUADRATURE EULERIAN-LAGRANGIAN WENO SCHEME FOR RESERVOIR SIMULATION
Placement: University of Texas at Austin
Advisor: Dr. Robert Gompf
Dissertation: CLASSIFICATIONS AND APPLICATIONS OF SYMPLECTIC FILLINGS OF SEIFERT FIBERED SPACES OVER S^2
Placement: NSF Postdoc Stanford University
Advisor: Dr. Thomas Chen
Dissertation: THE DYNAMICS OF BOSE GASES
Current Placement: Insight Data Science, Inc.
Advisor: Dr. Kui Ren
Dissertation: QUANTITATIVE PAT WITH UNKNOWN ULTRASOUND SPEED: UNCERTAINTY CHARACTERIZATION AND RECONSTRUCTION METHODS
Placement: SAMSI / North Carolina State University
Advisor: Dr. Rachel Ward
Dissertation:
Placement: Principle Quantitative Analyst, Capital One Banking
Advisor: Dr. Sean Keel
Dissertation: COMPACTIFICATION OF MODULI SPACES AND MIRROR SYMMETRY
Placement: University of Pennsylvania
Advisor: Dr. Cameron Gordon
Dissertation: THE COMBINATORICS OF REDUCIBLE DEHN SURGERIES
Placement: Imperial College
Degree Awarded 2014
Advisor: Kui Ren
Dissertation: NUMERICAL ALGORITHMS FOR INVERSE PROBLEMS IN ACOUSTICS AND OPTICS
Placement: CGG
Advisor: Bjorn Engquist
Dissertation: NUMERICAL METHODS FOR MULTISCALE INVERSE PROBLEMS
Placement: Georgia Tech
Advisor: Jeffrey Vaaler
Dissertation: HEIGHTS AND INFINITE ALGEBRAIC EXTENSIONS OF THE RATIONALS
Placement: Wisconsin
Advisor: Sean Keel
Dissertation: THE FUNCTORIAL INTERPRETATION OF THE NAIVE COMPACTIFICATION OF REGULAR MORPHISM FROM PI1 TO PI1
Advisor: Jeffrey Vaaler
Dissertation: SOME INEQUALITIES IN FOURIER ANALYSIS AND APPLICATIONS
Placement: Michigan
Advisor: Mirela Ciperiani
Dissertation: SOME RESULTS IN IWASAWA THEORY AND THE P-ADIC REPRESENTATION THEORY OF P-ADIC GL2
Placement: Indiana
Advisor: Dr. Jonathan Pillow
Dissertation: RECOVERY OF CONTINUOUS QUANTITIES FROM DISCRETE AND BINARY DATA WITH APPLICATIONS TO NEURAL DATA
Placement: Phillips Academy, Andover, MA
Advisor: Dr. Cameron Gordon
Dissertation: SLICE RIBBON CONJECTURE, PRETZEL KNOTS AND MUTATION
Placement: CGG Veritas Inc.
Advisor: Sean Keel
Dissertation: TROPICAL THETA FUNCTIONS FOR LOG CALABI-YAU SURFACES
Placement: Aarhus University
Advisor: Cameron Gordon
Dissertation: EXCEPTIONAL SEIFERT FIBERED SURGERIES ON MONTESINOS KNOTS AND DISTINGUISHING SMOOTHLY AND TOPOLOGICALLY DOUBLY SLICE KNOTS
Placement: NSF postdoc: Indiana
Advisor: David Ben-Zvi
Dissertation: GEOMETRY OF INTEGRABLE HIERARCHIES AND THEIR DISPERSIONLESS LIMITS
Placement: Oxford
Advisor: Alan Reid
Dissertation: GEOMETRIC PROPERTIES OF OUTER AUTOMORPHISM GROUPS OF FREE GROUPS
Placement: NSF postdoc: Yale
Advisor: Natasa Pavlovic
Dissertation: FROM QUANTUM MANY BODY SYSTEMS TO NONLINEAR SCHROEDINGER EQUATIONS
Placement: University of Illinois at Chicago
Degree Awarded 2013
Advisor: Reid
Dissertation: FLEXIBILITY AND RIGIDITY OF THREE-DIMENSIONAL CONVEX PROJECTIVE STRUCTURES
Placement: UC Santa Barbara
Advisor: Caffarelli
Dissertation: REGULARITY FOR SOLUTIONS OF NONLOCAL FULLY NONLINEAR PARABOLIC EQUATIONS AND FREE BOUNDARIES ON TWO DIMENSIONAL CONES
Placement: Columbia
Advisor: Helm
Dissertation: REALIZABILITY OF TROPICAL LINES IN THE FAN TROPICAL PLANE
Placement: Greenhill School
Advisor: Figalli
Dissertation: OPTIMAL TRANSPORT, FREE BOUNDARY REGULARITY, AND STABILITY RESULTS FOR GEOMETRIC AND FUNCTIONAL INEQUALITIES
Placement: Carnegie Mellon
Advisor: Tsai
Dissertation: NUMERICAL METHODS FOR HIGHLY OSCILLATORY DYNAMICAL SYSTEMS USING MULTI SCALE STRUCTURE
Placement: Georgia Tech
Advisor: Engquist
Dissertation: TOWARDS SEAMLESS MULTISCALE COMPUTATIONS
Placement: Courant
Advisor: Engquist
Dissertation: APPROXIMATION OF THE 2D COMPLEX EIKONAL EQUATION: ANALYSIS AND SIMULATION
Advisor: Knopf
Dissertation: ON THE BLOW-UP OF FOUR-DIMENSIONAL RICCI FLOW SINGULARITIES
Placement: Stanford
Advisor: Zariphopoulou
Dissertation: ESSAYS ON ACHIEVING INVESTMENT TARGETS AND FINANCIAL STABILITY
Placement: US Department of the Treasury
Advisor: Gordon
Dissertation: BEHAVIOR OF KNOT FLOER HOMOLOGY UNDER CONWAY AND GENUS TWO MUTATION
Placement: Rice
Advisor: Allcock
Dissertation: FUCHSIAN GROUPS OF SIGNATURE (0:2,...,2;1;0) WITH RATIONAL HYPERBOLIC FIXED POINTS
Placement: University of Nevada, Reno
Advisor: Caffarelli
Dissertation: REGULARITY OF A SEGREGATION PROBLEM WITH AN OPTIMAL CONTROL OPERATOR
Placement: Purdue
Advisor: Vaaler
Dissertation: RESULTANTS AND HEIGHT BOUNDS FOR ZEROS OF HOMOGENEOUS POLYNOMIAL SYSTEMS
Current Placement: The Museum of Mathematics, NYC
Advisor: Vaaler
Dissertation: THE STABILIZER OF THE GROUP DETERMINANT AND BOUNDS FOR LEHMER'S CONJECTURE OF FINITE ABELIAN GROUPS
Placement: Burapha University
Advisor: Knopf
Dissertation: ANALYSIS OF RICCI FLOW ON NONCOMPACT MANIFOLDS
Placement: Oregon
Degree Awarded 2012
Advisor: Chen, De La Llave
Dissertation: ON THE ROLE OF INVARIANT OBJECTS IN APPLICATIONS OF DYNAMICAL SYSTEMS
Placement: ETH-Zurich
Advisor: Luecke
Dissertation: KNOTS IN HANDLEBODIES WITH HANDLEBODY SURGERIES
Placement: Oklahoma State
Advisor: Caffarelli
Dissertation:
Placement: Univ. of British Columbia
Advisor: Vishik
Dissertation: INCOMPRESSIBLE BOUSSINESQ EQUATIONS AND SPACES OF BORDERLINE BESOV TYPE
Placement: Lockheed Martin Corp.
Advisor: Reid
Dissertation: ARITHMETIC REFLECTION GROUPS AND CONGRUENCE SUBGROUPS
Placement: Univ. of Illinois Urbana-Champaign
Advisor: Vaaler
Dissertation: COMBINATORIAL AND PROBABILISTIC TECHNIQUES IN HARMONIC ANALYSIS
Placement: NSF Postdoctoral Fellowship UCLA
Advisor: Helm
Dissertation:
Placement: Liberal Arts Science Academy (LASA), Austin
Advisor: Gordon
Dissertation: PRETZEL KNOTS OF LENGTH THREE WITH UNKNOTTING NUMBER ONE
Placement: Concordia University
Advisor: Sirbu
Dissertation: UTILITY MAXIMIZATION WITH CONSUMPTION HABIT FORMATION IN INCOMPLETE MARKETS
Placement: Univ. of Michigan
Advisor: Zitkovic
Dissertation: STOCHASTIC EQUILIBRIUM IN A GENERAL CLASS OF INCOMPLETE BROWNIAN MARKET ENVIRONMENTS
Placement: salesforce.com (San Francisco)
Degree Awarded 2011
Advisor: Radin
Dissertation: ORDERING IN DENSE PACKINGS
Placement: Univ. of Minnesota
Advisor: De La Llave
Dissertation: ON THE AUBRY-MATHER THEORY FOR PARTIAL DIFFERENTIAL EQUATIONS AND THE STABILITY OF STOCHASTICALY FORCED ORDINARY DIFFERENTIAL EQUATIONS
Placement: Carnegie-Mellon
Advisor: Beckner/Pavlovic
Dissertation: GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING ENERGY- SUPERCRITICAL CUBIC NONLINEAR WAVE EQUATION
Placement: Princeton Institute for Advanced Study
Advisor: Freed
Dissertation: STATE SUMS IN TWO DIMENSIONAL FULLY EXTENDED TOPOLOGICAL FIELD THEORIES
Current Placement: Northwestern University
Advisor: Bajaj
Dissertation: STABILITY OF DUAL DISCRETIZATION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Placement: Univ. of Calif. at San Diego
Advisor: Gordon
Dissertation: PRIMITIVE/PRIMITIVE AND PRIMITIVE/SEIFERT KNOTS
Placement: Univ. of Texas, Austin
Advisor: Reid
Dissertation: PROPERTIES OF COMMENSURABILITY CLASSES OF HYPERBOLIC KNOT COMPLEMENTS
Placement: Boston College
Advisor: Reid
Dissertation: ON THE CANONICAL COMPONENTS OF CHARACTER VARIETIES OF HYPERBOLIC 2-BRIDGE LINK COMPLEMENTS
Placement: Technion-Israel Institute of Technology
Advisor: Vaaler
Dissertation: NORMS EXTREMAL WITH RESPECT TO THE MAHLER MEASURE AND A GENERALIZATION OF DIRICHLET'S UNIT THEOREM
Placement: Univ. of Texas, Austin
Advisor: Zariphopolou
Dissertation: Three Essays on Valuation and Investment in Incomplete Markets
Placement: Susquehanna International Group--Philadelphia, PA
Advisor: Voloch
Dissertation: THE INTERSECTION OF CLOSURE OF GLOBAL POINTS OF A SEMI-ABELIAN VARIETY WITH A PRODUCT OF LOCAL POINTS OF ITS SUBVARIETIES
Placement: Academia Sinica, Taiwan
Advisor: Caffarelli
Dissertation: RANDOM HOMOGENIZATION OF P-LAPLACIAN WITH OBSTACLES ON PERFORATED DOMAIN AND RELATED TOPICS
Placement: Univ. of Iowa
Advisor: Dan Knopf
Dissertation: ANALYSIS OF GEOMETRIC FLOWS, WITH APPLICATIONS TO OPTIMAL HOMOGENEOUS GEOMETRIES
Placement: UCLA
Advisor: Caffarelli
Dissertation: OPTIMAL REGULARITY AND NONDEGENERACY FOR MINIMIZERS OF AN ENERGY RELATED TO THE FRACTIONAL LAPLACIAN
Placement: Courant Institute of Mathematical Sciences
Degree Awarded 2010
Advisor: Rodriguez-Villegas
Dissertation: ON REAL AND P-ADIC BEZOUTIANS
Current Placement: Universidad Nacional de Moreno
Advisor: Vaaler
Dissertation: ORTHOGONAL DECOMPOSITIONS OF THE SPACE OF ALGEBRAIC NUMBERS MODULO TOR
Placement: University of Rochester
Advisor: Caffarelli
Dissertation: REGULARIZATION IN PHASE TRANSITIONS WITH GIBBS-THOMSON LAW
Current Placement: UCLA
Advisor: Rodriguez-Villegas
Dissertation: PERIODS OF MODULAR FORMS AND CENTRAL VALUES OF L-FUNCTIONS
Current Placement: Director-R &D Tax Credits
Advisor: Keel
Dissertation: BIRATIONAL GEOMETRY OF THE MODULI SPACES OF CURVES WITH ONE MARKED POI
Placement: Stony Brook University
Advisor: Sadun
Dissertation: ROTATIONAL COHOMOLOGY AND TOTAL PATTERN EQUIVARIANT COHOMOLOGY OF TILING
Current Placement: Huston-Tillotson University
Advisor: Reid
Dissertation: ON SOME RESIDUAL AND LOCALLY VIRTUAL PROPERTIES OF GROUPS
Placement: Software Engineer at Hurricane Inc.
Advisor: Vasseur
Dissertation: A FRAGMENTATION MODEL FOR SPRAYS AND L2 STABILITY ESTIMATES FOR SHOCKS
Placement: Carnegie-Mellon University
Advisor: Ben-Zvi
Dissertation: AUTOEQUIVALENCES, STABILITY CONDITIONS, AND N-GONS
Placement: Western Ontario University
Advisor: Rodriguez-Villegas
Dissertation: ON THE E-POLYNOMIALS OF A FAMILY OF CHARACTER VARIETIES
Placement: Oxford University
Advisor: Ben-Zvi
Dissertation: SHEAF THEORETIC METHODS IN MODULAR REPRESENTATION THEORY
Placement: Harvard University
Advisor: Saltman
Dissertation: RATIONAL EMBEDDINGS OF THE SEVERI-BRAUER VARIETY
Placement: University of Texas at Austin
Advisor: Caffarelli
Dissertation: ABOUT THE LARGEST SUBSOLUTION FOR A FREE BOUNDARY PROBLEM IN R2: ELLIP
Current Placement: Rice University
Advisor: Allcock
Dissertation: FIXED-POINT-FREE ACTIONS OF COXETER GROUPS ON THREE-DIMENSIONAL CAT(0)
Placement: University of Arizona
Advisor: Rodriguez-Villegas
Dissertation: THE DISTRIBUTION OF ROOTS OF CERTAIN POLYNOMIALS
Advisor: Vaaler
Dissertation: AN ANALOGUE OF THE KORKIN-ZOLOTAREV LATTICE REDUCTION FOR VECTOR SPACES OVER NUMBER FIELDS
Advisor: Ying
Dissertation: FAST DIRECT ALGORITHMS FOR ELLIPTIC EQUATIONS VIA HIERARCHICAL MATRIX COMPRESSION
Advisor: Reid
Dissertation: CUSPS OF HERMITIAN LOCALLY SYMMETRIC SPACES
Placement: University of Michigan
Advisor: Odell
Dissertation: ON S1-STRICTLY SINGULAR OPERATORS
Placement: Univ. of Houston-Victoria
Advisor: Gompf
Dissertation: BROKEN LEFSCHETZ FIBRATIONS ON SMOOTH FOUR-MANIFOLDS
Placement: Univ. of California-Berkeley
Degree Awarded 2009
Advisor: Fernando Rodriguez Villegas
Dissertation: L-Functions of Elliptic Curves over Function Fields
Placement: University of Washington
Advisor: Felipe Voloch
Dissertation: Characterization of Multi-Frobenius Non-Classical Plane Curves and construction of complete Plane (N,D)-ARCS
Placement: University of Sao Paulo, Sao Carlos Campus
Advisor: Alan Reid
Dissertation: The Arithmetic and Geometry of Two-Generator Kleinian Groups
Placement: St. Edward's University
Advisor: Rafael de la Llave
Dissertation: Existence and persistence of invariant objects in dynamical systems and mathematics physics
Placement: McGill University
Advisor: William Beckner and Jeff Vaaler
Dissertation: Extremality, Symmetry and Regularity Issues in Harmonic Analysis
Placement: Institute for Advanced Study, Princeton University
Advisor: Felipe Voloch
Dissertation: Generalizing Binary Quadratic Residue Codes to higher power Residues over larger fields
Placement: Federal Government
Advisor: Felipe Voloch
Dissertation: Twists of Elliptic Curves with a larger set of integral points over (FQ(T)
Placement: Oxford College of Emory University
Advisor: Gordan Zitkovic
Dissertation: The Optimal Control of a Levy Process
Placement: Bloomberg L.P.
Advisor: Fernando Rodriguez-Villegas
Dissertation: Computing the Tutte Polynomial of Hyperplane Arrangements
Placement: Applied Research Laboratories
Advisor: Vaaler
Dissertation: On some distribution problems in Analytic
Number Theory
Placement: Yahoo Japan Corporation
Advisor: Cameron Gordon
Dissertation: Reducible and Toroidal Dehn Fillings with Distance 3
Placement: Boston College
Advisor: Daniel Freed
Dissertation: Differential Equivariant K-theory
Placement: Sul Ross State University
Advisor: Sean Keel
Dissertation: Toric Schemes over a discrete Valuation Ring and Tropical Compactifications
Placement: East China Normal University
Advisor: Fernando Rodriguez-Villegas
Dissertation: Hypergeometric Functions in Arithmetic Geometry
Placement: Bates College
Advisor: Panagiotis Souganidis/Luis Caffarelli
Dissertation: Random and Periodic Homogenization for some Nonlinear Partial Differential Equations
Placement: Carnegie Mellon University
Advisor: Tandy Warnow
Dissertation: Phylogenetic Supertree Methods
Placement: University of Texas at Austin
Advisor: Mikhail Vishik
Dissertation: Linear Instability for Incompressible inviscid fluid flows: two classes of perturbations
Placement: University of California Santa Barbara
Degree Awarded 2008
Advisor: Irene Gamba
Dissertation: The Boltzmann Equation: Sharp Povzner Inequalities applied to regularity theory
Placement: Visiting Professor, Brown University
Advisor: Gordan Zitkovic
Dissertation: Agents' Agreement and Partial Equilibrium Pricing in Incomplete Markets
Placement: Athens, Greece
Advisor: Alexis Vasseur
Dissertation: The De Giorgi's Method as Applied to the Regularity Theory of Incompressible Navier Stokes equations
Placement: University of Minnesota
Advisor: Karen Uhlenbeck
Dissertation: Well-Posedness for the Space-Time Monopole Equation and Ward Wave Map
Placement: University of Toronto
Advisor: Jeffrey Vaaler
Dissertation: The Height in Terms of the Normalizer of a Stabilizer
Placement: Kansas State University
Advisor: David Saltman
Dissertation: Regular Realizations of P-Groups
Placement: University of Texas at Austin
Advisor: Daniel Freed
Dissertation: Superconnections and Index Theory
Placement: Goettingen University, Germany
Advisor: Daniel Freed
Dissertation: An Index Theorem in Differential K-Theory
Placement: Constellation Energy
Advisor: Sean Keel
Dissertation: The Log Canonical Compactification of the Moduli of Six Lines in P^2
Advisor: David Saltman
Dissertation: The Discriminant Algebra in Cohomology
Placement: S D & M Software, Munich, Germany
Advisor: Daniel Freed
Dissertation: Abelian Chern-Simons Theory with Toral Gauge Group, Modular Tensor Categories, and Group Categories
Placement: Postdoctoral Researcher, University of Utah
Advisor: Karen Uhlenbeck
Dissertation: Modified Ricci Flow on a Principal Bundle
Placement: University of Arizona
Advisor: Thaleia Zariphopoulou
Dissertation: Essays on Pricing and Portfolio Choice in Incomplete Markets
Degree Awarded 2007
Advisor: Panagiotis Souganidis
Dissertation: Singular Limits of Reaction Diffusion Equations of KPP type in an infinite Cylinder
Placement: Visiting Professor, Arizona State University
Advisor: Mikhail Vishik
Dissertation: Incompressible Fluids with Vorticity in Besov Spaces
Placement: Postdoctoral Associate, Carnegie Mellon University
Advisor: Alan Reid
Dissertation: Totally Geodesic Surfaces in Hyperbolic 3-Manifolds
Current Placement: University of Illinois at Chicago
Advisor: Karen Uhlenbeck
Dissertation: The Higher Flows of Harmonic Maps
Current Placement: Jacksonville University
Advisor: Felipe Voloch
Dissertation: Incompleteness of the Glalietti-Ughi Arc
Placement: Quantitative Risk Control, UBS, New York, NY
Advisor: Felipe Voloch
Dissertation: Genus 2 Curves in pairing-based Cryptography and the minimal embedding field
Current Placement: 21st Century Technologies, Austin
Advisor: Alexis Vasseur
Dissertation: Strong Trace for Degenerate Parabolic-Hyperbolic Equations and Applications
Current Placement: University of Maryland at College Park
Advisor: Luis A. Caffarelli
Dissertation: Least Supersolution Approach to regularizing Elliptic Free Boundary Problems
Placement: Visiting Assistant Professor, University of Iowa
Advisor: Jeffrey D. Vaaler
Dissertation: Auxiliary Polynomials and Height Functions
Current Placement: Univ. of British Columbia, Vancouver
Advisor: Todd Arbogast
Dissertation: A Three-Dimensional Finite Element Method and Multigrid Solver for a Darcy-Stokes System and Applications to Vuggy Porous Media
Placement: State University of New York at Buffalo
Advisor: Robert E. Gompf
Dissertation: Constructions on Open Book Decompositions
Placement: Postdoctoral Fellow, University of Quebec at Montreal
Degree Awarded 2006
Advisor: Alan Reid
Dissertation: Undetected Boundary Slopes and Roots of unity for the character variety of a Three-Manifold
Placement: Evans Instructor, Rice University
Advisor: Cameron Gordon
Dissertation: Heegaard Splittings of Toroidal Three-Manifolds
Placement: Assistant Professor, American University in Cairo, Egypt
Advisor: Rafael de la Llave
Dissertation: Renormalization and Central Limit Theorem for Critical Dynamical Systems with external weak random noise
Current Placement: Precision Health Economics, Austin TX
Advisor: Panagiotis Souganidis
Dissertation: Forced Vibrations via Nash-Moser Iterations
Placement: Post-Doctoral Fellow, McMaster University, Ontario, Canada
Advisor: Jeff Vaaler
Dissertation: Tools and Techniques in Diophantine Approximation
Placement: Lecturer, Mathematics, The University of Texas at Austin
Advisor: Jose Felipe Voloch
Dissertation: On the suitability of power functions as S-boxes for symmetric cryptosystems
Placement: Research Mathematician, United States Department of Defense
Advisor: Uri Treisman
Dissertation: Factors in statistics learning: Developing a dispositional attribution model to describe the development of statistical proficiency
Placement: Assistant Professor, Michigan State University
Advisor: Cameron Gordon
Dissertation: Geometry and Algebra of Hyperbolic 3-Manifolds
Placement: Tamarkin Assistant Professor and National Science Foundation Post-Doctoral Fellow, Brown University
Advisor: Alan Reid
Dissertation: Derived Arithmetic Fuchsian Groups of Genus Two
Placement: Post-Doctoral Fellow, University of British Columbia
Advisor: David Saltman
Dissertation: Non-cyclic and Indecomposable P-algebras
Placement: : National Science Foundation Mathematical Sciences Post-Doctoral Fellowship, Emory University/Rice University
Advisor: Alan Reid
Dissertation: Cusps of Arithmetic Orbifolds
Placement: Olga Taussey-John Todd Instructor, California Institute of Technology
Advisor: Jack Xin
Dissertation: Reaction-Diffusion Fronts in Inhomogeneous Media
Placement: National Science Foundation Postdoctoral Scholar, Stanford University
Advisor: Jeff Vaaler
Dissertation: Diophantine approximation in projective space and the absolute Siegel’s Lemma
Placement: Actuarial Analyst, Mercer Human Resource Consulting, Los Angeles, California
Advisor: Lorenzo Sadun
Dissertation: Pattern-Equivariant Chomology of Tiling Spaces with Rotations
Placement: Assistant Professor, Texas Lutheran University
Advisor: Dan Freed
Dissertation: Local Elliptic Boundary Value Problems for the Dirac Operator
Placement: Lecturer, The University of Texas at Austin
Advisor: Jose Felipe Voloch
Dissertation: Error-Correcting Codes on low Neron-Severi rank surfaces
Placement: Assistant Professor, Emory and Henry College, Emory, Virginia
Degree Awarded 2005
Advisor: Todd Arbogast
Dissertation: Simulating Fluid Flow in Vuggy Porous
Advisor: Mikhail Vishik
Dissertation: The vanishing Viscosity Limit for Incompressible Fluids in two dimensions
Placement: Tamarkin Assistant Professor, Brown University
Advisor: Fernando Rodriguez-Villegas
Dissertation: Some relations of Mahler measure with hyperbolic volumes and special values of L-Functions
Current Placement: Associate Professor, Universite de Montreal, Canada
Advisor: Jack Xin
Dissertation: Human Acoustics: From Vocal Chords to Inner Ear
Placement: Postdoctoral Associate, Cornell University
Advisor: Fernando Rodriguez-Villegas
Dissertation: Some applications of classical modular forms to number theory
Placement: Postdoctoral Fellow, Max Planck Institute for Mathematics,
Advisor: Sean Keel
Dissertation: An Elementary Construction of M0,0
Placement: Assistant Professor, Wittenberg University, Springfield, Ohio
Advisor: Alan Reid
Dissertation: One-Cusped Congruence Subgroups of PSL2
Placement: Coleman Postdoctoral Fellow, Queen's University, Ontario, Canada
Advisor: Luis Caffarelli
Dissertation: Regularity of the obstacle problem for a fractional power of the Laplace Operator
Placement: Postdoctoral Instructor, Courant Institute, New York, New York
Advisor: Jeffrey Vaaler
Dissertation: Multiplicative Distance Functions
Current Placement: Univ. of Oregon
Advisor: Thaleia Zariphopoulou
Dissertation: Optimal Strategies in incomplete financial markets
Placement: Postdoctoral Instructor, Courant Institute, New York, New York
Advisor: Luis Caffarelli
Dissertation: Regularity of Free Boundary in variational problems
Placement: Postdoctoral Assistant Professor, State University of New Jersey at Rutgers
Advisor: Fernando Rodriguez-Villegas
Dissertation: The Brandt Module of Ternary Quadratic Lattices
Current Placement: Profesor Adjunto, Universidad de la República, Uruguay
Degree Awarded 2004
Advisor: John Luecke
Dissertation: Knots on Once-punctured Torus Fibers
Placement: VIGRE, University of Georgia at Athens
Advisor: Fernando Rodriguez Villegas
Dissertation: Mahler Measure Evaluations in terms of Polylogarithms
Placement: Visiting Assistant Professor, City University of New York
Advisor: Jeffrey Vaaler
Dissertation: Algebraic Points of Small Height with Additional Arithmetic Conditions
Placement: Visiting Assistant Professor, Texas A & M University
Advisor: Todd Arbogast
Dissertation: Analysis of a Darcy-Stokes System Modeling Fluid Flow in Vuggy Porous Media
Placement: Ohio State University
Advisor: Jeff Vaaler
Dissertation: Distribution of Galois Orbits of Low Height
Placement: VIGRE Post Doctoral Associate, University of Georgia at Athens
Advisor: Felipe Voloch
Dissertation: Computations on an Equation of the BSD Type
Placement: Universidad Nacional Autonoma de Mexico
Degree Awarded 2003
Advisor: Robert Gompf
Dissertation: Contact Structures and Open Books
Current Placement: Post Doctoral Appointment, Massachusetts Institute of Technology
Advisor: Karen Uhlenbeck
Dissertation: Adiabatic Limits of the Hermitian Yang-Mills Equations on Slicewise Stable Bundles
Placement: Professor, Feira de Santana, Brazil
Advisor: Felipe Voloch
Dissertation: Power Series in P-ADIC Roots of Unity
Placement: Mercer Human Resource Consulting, San Francisco, California
Advisor: Fernando Rodriguez-Villegas
Dissertation: A formula for the central value of certain Hecke L-functions
Placement: University of Buenos Aires
Advisor: Elliott Cheney
Dissertation: Theory of Principal Component Filter Banks with Applications to Multicomponent Imagery
Placement: Los Alamos National Labs
Advisor: Luis Caffarelli
Dissertation: Phase Transitions: Regularity of Flat Level Sets
Placement: Post Doctoral Visiting Faculty, University of California at Berkeley
Advisor: Fernando Rodriguez-Villegas
Dissertation: Evaluations of Multiple L-Values and Double Zeta Values of Quadratic Fields
Placement: VIGRE Postdoc, Pennsylvania State University
Degree Awarded 2002
Advisor: Charles Radin
Dissertation: Density in Hyperbolic Spaces
Current Placement: Zorn Postdoctoral Fellow, Indiana University
Advisor: Karen Uhlenbeck
Dissertation: An Application of The Continuity Method for an Equation on Line Bundles
Placement: Universidade de Federal, Rio de Janeiro, Brazil
Advisor: Haskell Rosenthal
Dissertation: Bounded Operators without Invariant Subspaces on Certain Banach Spaces
Placement: The University of Texas at Austin
Advisor: Panagiotis Souganidis
Dissertation: Uniqueness and Existence Results on Viscosity Solutions of Some Free Boundary Problems
Current Placement: Assistant Professor, University of California at Los Angeles
Advisor: Cameron Gordon
Dissertation: Geodesics in the Complex of Curves of a Surface
Placement: National Security Agency
Advisor: Alan Reid
Dissertation: Essential Surfaces in Hyperbolic Three-Manifolds
Current Placement: Assistant Professor, University of Illinois at Urbana-Champaign
Advisor: Uri Treisman
Dissertation: Collapsing Dimensions, Physical Limitation, and other Student Metaphors for Limit Concepts
Placement: Assistant Professor, Arizona State University
Advisor: Panagiotis Souganidis
Dissertation: On Level Set Approach to Motion of Manifolds of Arbitrary Codimension
Current Placement: Assistant Adjunct Professor, University of California at Los Angeles
Advisor: Mikhail Vishik
Dissertation: Modal Expansions of Surface Wave Model Equations
Current Placement: Assistant Professor, St. Mary's College of Maryland
Advisor: Thaleia Zariphopoulou
Dissertation: On the Merton Problem in Incomplete Markets
Placement: Graduate Research Assistant, The University of Texas at Austin
Advisor: Luis Caffarelli
Dissertation: Plane-like minimal surfaces in periodic media with inclusions
Current Placement: University of Houston
Advisor: Luis Caffarelli
Dissertation: Plane-like Minimizers in Periodic Media: Jet Flows and Ginzburg-Landau
Current Placement: University of Rome III
Advisor: Rafael de la Llave
Dissertation: A Nash-Moser Implicit Function Theorem with Whitney Regularity and Applications
Placement: University of Wisconsin at Madison
Advisor: Jerry Bona and Todd Arbogast
Dissertation: Numerical Schemes for Systems of Non-linear Dispersive Wave Equations
Placement: Visiting Mathematician, Oklahoma State University
Degree Awarded 2001
Advisor: Hans A. Koch
Dissertation: Renormalization, invariant tori, and periodic orbits for Hamiltonian flows
Placement: McMaster University, Hamilton, Ontario, Canada
Advisor: Lorenzo Sadun
Dissertation: The Topology and Geometry of DNA and DNA-Protein Interaction
Placement: Assistant Professor, Applied Mathematics, Brown University
Advisor: Felipe Voloch
Dissertation: Canonical and Minimal Degree Liftings of Curves
Current Placement: Instructor, Ohio State University
Advisor: Raymond Heitmann
Dissertation: The Plus Closure of an Ideal
Placement: Assistant Professor, St. Joseph's University
Advisor: Jerry L. Bona
Dissertation: Models for Internal Waves in Two-Fluid Systems
Placement: Research Fellow, Norwegian University of Sciences and Technology, Trondheim, Norway
Advisor: David Saltman
Dissertation: Birational Isomorphisms between Severi-Brauer Varieties
Current Placement: Gibbs Assistant Professor, Yale University
Advisor: Ralph Showalter
Dissertation: Fluid Flow and Deformable Multi-Porous Media
Placement: Avaya Communication, Westminster, CO
Advisor: Klaus Bichteler
Dissertation: The L p Theory of Random Measures
Placement: Engineering Scientist, Applied Research Lab, University of Texas at Austin
Advisor: Jerry Bona
Dissertation: Rare events and conditional limit theorems for a class of spectrally positive, heavy-tailed Levy processes
Placement: Visiting Instructor, Macalester College, St. Paul, MN
Advisor: Sean Keel
Dissertation: The Birational Geometry of M3 and M2,1
Placement: VIGRE Postdoc, University of Georgia at Athens
Advisor: Ralph E. Showalter
Dissertation: Heat Transport Models With Distributed Microstructure
Current Placement: Los Alamos National Laboratory
Degree Awarded 2000
Advisor: David Saltman
Dissertation: Generic Galois extensions for groups of order p^3
Current Placement: Assistant Professor, Florida Atlantic University
Advisor: Jeffrey Vaaler
Dissertation: Estimates for the Number of Polynomial with Bounded Degree and Bounded Measure
Advisor: Sean Keel
Dissertation: Fibrations of the Closure of M_{g,n}
Current Placement: Assistant Professor, University of Pennsylvania
Advisor: Karen Uhlenbeck
Dissertation: Constructing Special Langrangain Cones
Placement: Postdoctoral Assistant Professor, Johns Hopkins University
Advisor: Ralph Showalter
Dissertation: Two Distributed Capacitance Models
Placement: Assistant Professor, Sogang University, Korea
Advisor: Bill Beckner
Dissertation: Sobolev trace inequality and logarithmic Sobolev trace inequality
Placement: Sejong University, Seoul, Korea
Advisor: Cameron Gordon
Dissertation: Essential Surfaces after Dehn Filling
Placement: Assistant Professor, St. Edward's University
Advisor: E.W. Cheney and E. I. George
Dissertation: Proper Posterior Distributions for some Hierarchical models and Roundoff Effects in the Gibbs Sampler
Placement: Research Scientist, Quintiles, Inc.
Degree Awarded 1999
Advisor: Cameron Gordon
Dissertation: A Piecewise-Linear Theory of Minimal Surfaces of Non-Zero Index
Current Placement: Pitzer College, California
Advisor: Jeffery Vaaler
Dissertation: Analogs of the Beurling-Selberg Functions in N Dimensions and their applications
Current Placement: Birmingham-Southern College
Advisor: Robert Gompf
Dissertation: On a Remarkable Set of Words in the Mapping Class Group
Current Placement: Universidad Nacional de Columbia
Advisor: Felipe Voloch
Dissertation: Diophantine Problems in Function Fields of Positive Characteristic
Current Placement: Inha University, Korea
Advisor: Jose Felipe Voloch
Dissertation: On Lang's diophantive conjecture for surfaces of general type
Current Placement: Texas A&M Univ. at Galveston
Advisor: Lorenzo Sadun
Dissertation: Numerical Investigations of Singularity Formation in Non-Linear Wave Equations in the Adiabatic Limit
Current Placement: Texas A&M Univ.
Advisor: Alan Reid
Dissertation: Lengths and Homology of Hyperbolic 3-Manifolds
Current Placement: Univ. at Buffalo
Degree Awarded 1998
Advisor: Jeffrey Vaaler
Dissertation: On an Integral Related to Vinogradov's Integral
Placement: United Arab Emirates University
Advisor: Cameron Gordon
Dissertation: The Degeneracy Slopes and the Stretching Factors of Fibered Alternating Knots
Current Placement: Lone Star College
Advisor: Jerry Bona
Dissertation: Solitary Waves and Long-Wave Phenomena
Current Placement: University of Memphis
Advisor: John Tate
Dissertation: Stark's Conjecture in the Octahedral Case
Current Placement: California Lutheran University
Advisor: Lorenzo Sadun
Dissertation: Adiabatic Limits of the Anti-Self-Dual Equation
Advisor: Sean Keel
Dissertation: Segre Class of Almost Complete Intersections
Current Placement: University of Texas at Austin
Advisor: Jeffery Vaaler
Dissertation: An Extremal Majorant for the Logarithm and Its Applications
Current Placement: Northwestern University
Advisor: John Luecke
Dissertation: Manifolds Obtained by Dehn Surgery on Infinitely Many Distinct Knots in s^3
Current Placement: Univ. of Dallas
Advisor: R. de la Llave
Dissertation: Normal Form Techniques in Degenerate Hamiltonian Systems
Current Placement: Oregon Institute of Technology
Advisor: Robert Boyer and Larry Hines
Dissertation: Discoveries and Experiments In the Automation of Mathematical Reasoning
Current Placement: Bethel University
Degree Awarded 1997
Advisor: David M. Young, Jr.
Dissertation: Iterative Solutions of Large Sparse Nonsymmetric Linear Systems
Current Placement: National Kaohsiung Normal Univ., Korea
Advisor: Peter W. M. John
Dissertation: Optimal Fractional Factorial Designs
Advisor: Jeffery Vaaler
Dissertation: Spectra of Heights over Certain Finite Groups
Current Placement: Washington and Lee Univ.
Advisor: Robert Gompf
Dissertation: Symplectic Constructions on 4-Manifolds
Current Placement: University of Pennsylvania
Advisor: Karen Uhlenbeck
Dissertation: The Cauchy Initial Value Problem for Yang-Mills Metrics
Current Placement: Institute of Technology, Tralee Ireland
Advisor: Elliott Ward Cheney, Jr.
Dissertation: Degree of Approximation by Neural Networks
Advisor: Edward Odell
Dissertation: On Bourgain's Index and Schreier Sets
Current Placement: University of Denver
Advisor: Sean Keel
Dissertation: Exceptional Surfaces For Resolution of Isolated Threefold Singularities
Current Placement: John Hopkins
Advisor: Ralph Showalter
Dissertation: A Coupled System of Semilinear Parabolic Equations with Hysteresis
Current Placement: University of Washington
Advisor: Cameron Gordon
Dissertation: Exceptional manifolds After Dehn Filling
Placement: Mathematical Sciences Research Institute
Advisor: Cameron Gordon
Dissertation: Heegaard Surfaces and Dehn Fillings: G(M)-1 Less than T(X) Less than G(M)
Current Placement: University of Arkansas
Advisor: Cameron Gordon
Dissertation: On the Classification and Stabilization Problems for Heegaard Splittings of Three-Manifolds
Current Placement: Depaul Univ.
Advisor: Alec Norton
Dissertation: Cantor Sets and Lipschitz Actions on Circles and Trees
Current Placement: Diego Corp., Palo Alto
Degree Awarded 1996
Advisor: H. Rosenthal
Dissertation: Isomorphically Polyhedral Banach Spaces and Mixed Tsirelson Spaces of Arbitrary Distortion
Placement: Univ. of Missouri
Advisor: Edward Odell
Dissertation: On James Spaces
Current Placement: University of Texas at Austin
Advisor: Jeffery Vaaler
Dissertation: Diophantine Approximation on Projective Spaces over Number Fields
Placement: Princeton Institute for Advanced Study
Advisor: Peter W. M. John
Dissertation: Construction of Time Trend Free Run Orders
Advisor: Cameron Gordon
Dissertation: Hyperbolic Knots with Small Seifert-fibered Dehn Surgeries.
Placement: Mathematical Sciences Research Institute
Advisor: Charles Radin
Dissertation: Ergodic Theory, X-Ray Diffraction and Tilings of Euclidean Space
Placement: Rice University
Advisor: William Beckner
Dissertation: Percolation on the Randomized Sierpinski Carpet
Placement: Univ. of Texas, Austin
Advisor: Robert Gompf
Dissertation: Distinguishing Embedded Curves in Rational Complex Surfaces
Placement: Univ. of Calif. at Irvine
Advisor: Haskell Rosenthal
Dissertation: Quotients of C(K) Spaces
Current Placement: University of Crete
Advisor: William Beckner
Dissertation: Sharp Moser Inequalities
Placement: Korea University, Instructor
Advisor: John Tate
Dissertation: On Refined Class Number Formula
Placement: Ohio State
Advisor: Charles Radin
Dissertation: The Topological and Geometrical Properties of a Uniquely Ergodic Tiling System
Advisor: David Saltman
Dissertation: Global Sections of Higher Powers of the Twisting Sheaf on a Brauer-Severi Variety
Placement: Indiana University
Advisor: Elliott Cheney
Dissertation: The Fundamentality Problem for Translates of Continuous Functions
Placement: Korea University
Degree Awarded 1995
Advisor: Jose Felipe Voloch
Dissertation: Effective p-Descent
Placement: Univ. of Arizona
Advisor: Cameron Gordon
Dissertation: Reducing Spheres and Embedded Projective Planes after Dehn Surgery on a Knot
Placement: Louisiana State University
Advisor: Patrick Brockett
Dissertation: A new approach to sensitivity analysis of the DEA models and its applications in ranking and productivity growth
Advisor: Jeffery Vaaler
Dissertation: Algorithms for the Determination of Polynomials with Small Mahler Measure
Placement: Appalachian State Univ.
Degree Awarded 1994
Advisor: Jeffery Vaaler
Dissertation: Diophantine Approximation in Local Fields by Algebraic Numbers of Bounded Degree
Placement: Texas A&M Univ., Kingsville
Advisor: Edward Odell
Dissertation: The James Function Space
Placement: Univ. of Wisconsin
Advisor: Peter W. M. John
Dissertation: Optimal and Minimal Experimental Designs
Placement: Institute of Taiwan Studies
Advisor: Elliott Cheney
Dissertation: Cardinal Spline Wavelets
Placement: Oklahoma State University
Advisor: Alec Norton
Dissertation: Self Homeomorphisms of the 2-sphere which pointwise fix a nonseparating continuum
Placement: Mississippi State Univ.
Advisor: John Luecke
Dissertation: On Composite Twisted Unknots
Placement: University of Arkansas
Advisor: Ralph Showalter
Dissertation: Semilinear Degenerate Parabolic Systems and Distributed Capacitance Models
Current Placement: Brentwood Christian School, Austin TX
Advisor: William Schelter
Dissertation: On Automatic Theorem Proving in Conjugate Geometries
Advisor: Raymond Heitmann
Dissertation: Making the Generic Formal Fiber Local
Current Placement: Williams College
Advisor: Ayan Basu
Dissertation: Minimum disparity estimation in linear regression models: robustness and efficiency
Placement: Taejan University, Korea
Advisor: David M. Young, Jr. and Kamy Sepehrnoori
Dissertation: Multigrid Methods with Application in Reservoir Simulation
Placement: Western Atlas, Houston
Advisor: Jeffery Vaaler
Dissertation: The Lagrange Spectrum in Projective Space Over a Local Field
Placement: Univ. of Tennesee
Advisor: Patrick Brockettand and Vijay Mahajan
Dissertation: Stochastic Programming and Optimal Saleforce Compensation Schemes
Degree Awarded 1993
Advisor: Haskell Rosenthal
Dissertation: Some Subclasses of Baire-1 Functions and Uniform Homeomorphisms
Current Placement: Al Akhawayn University, Morroco
Advisor: Elliott Cheney
Dissertation: Wavelet Analysis in Hilbert Space
Placement: Taiwan University
Advisor: Jeffrey Vaaler
Dissertation: Radial Analogues of some Extremal Beuring-Selberg Functions
Placement: Michigan Tech Univ.
Advisor: Ralph Showalter
Dissertation: Semilinear Parabolic Equations with Preisach Hysteresis
Current Placement: Univ. of Texas at Arlington
Advisor: Karen Uhlenbeck
Dissertation: A Finite Index Approximation of Floer Homology
Current Placement: Texas Legislative Budget Board
Advisor: Cameron Gordon
Dissertation: A Characterization of Handlebodies, Homotopy and Homology Unknotting Numbers of a Knot
Placement: Blackburn College
Advisor: Rafael de la Llave
Dissertation: Rigidity for Dynamically Defined Cantor Sets and Expanding Circle Maps
Current Placement: University of Texas at Austin
Advisor: Edward Odell
Dissertation: Unconditional Averages in the Banach Spaces c(alpha)
Placement: Hanover College
Advisor: Robert Boyer
Dissertation: Automated Proofs of Object Code for a Widely Used Microprocessor
Degree Awarded 1992
Advisor: Ralph Showalter
Dissertation: Microstructure Modeling of Fluid Flow in a Layered Medium
Current Placement: Mississippi State
Advisor: Ralph Showalter
Dissertation: Diffusion Models with Microstructure and Secondary Flux
Current Placement: Singular Value Consulting
Advisor: David Hinkley
Dissertation: Nonparametric Regression and Its Uses in Checking Model Fit
Current Placement: Lawrence Livermore National Laboratory
Advisor: Abraham Charnes
Dissertation: Senstivity and Stability Analysis of Problems in Chance Constrained Programming
Advisor: Haskell Rosenthal
Dissertation: On Operators in L(L_1).
Placement: Hebei Univ. China
Advisor: E.W. Cheney
Dissertation: Interpolation on Spherical Spaces
Current Placement: University of Sao Paolo
Advisor: Ralph Showalter
Dissertation: The Regularized Layered Medium Equation
Placement: Charleston College
Advisor: Cameron Gordon
Dissertation: Incompressible punctured tori in the complements of alternating knots
Placement: Murray State
Advisor: Jeffrey Vaaler
Dissertation: On the Number of Irreducible Factors of a Polynomial
Current Placement: Univ. of British Columbia, Vancouver
Advisor: Stephen McAdam
Dissertation: Intergral Uppers
Current Placement: University of Calif. at Riverside
Advisor: Robert Williams
Dissertation: The Prime Decomposition of Knotted Periodic Orbits in Dynamical Systems
Current Placement: Northwestern University
Advisor: David M. Young
Dissertation: Parallel Multilevel Iterative Methods
Current Placement: Clark Univ., Georgia
Advisor: David Saltman
Dissertation: Valuations on Division Algebras
Placement: Denison Univ.
Advisor: Abraham Charnes
Dissertation: Optimization of Pursuit and Reliability on Discrete Graphs
Degree Awarded 1991
Advisor: Cameron Gordon
Dissertation: Essential Laminations in Closed Seifert Fibered Spaces
Placement: Univ. of Puget Sound
Advisor: William Eaton
Dissertation: Three Level Forms in s^4
Current Placement: Fidelity National Information Services
Advisor: Peter W. M. John
Dissertation: Balanced Factorial Structure with the Hypercubic Association Scheme
Advisor: Abraham Charnes
Dissertation: Vector Extremal Approaches to Competitive Models in Economics and Business Activities
Advisor: Cameron Gordon
Dissertation: Linking and Unlinking Properties of Two Component Links
Placement: James Madison
Advisor: Carl Morris
Dissertation: Empirical and Hierarchical Bayes Estimation of Several Means in the Natural Exponential Family
Advisor: Cameron Gordon
Dissertation: Proper Knots are Locally Unknotted and a New Proof of Schubert's Bridge Number Theorem
Placement: Bradley
Advisor: Karen Uhlenbeck
Dissertation: On the Yang-Mills Heat Flow in Two and Three Dimensions
Current Placement: Lund Univ., Sweden
Advisor: David Saltman
Dissertation: Orthogonal Matrix Invariants and Generalized Matrix Concomitants
Placement: Northern Illinois Univ.
Advisor: Abraham Charnes
Dissertation: On a Class of Dual Methods for Quadratic Programming
Advisor: Stephen McAdam
Dissertation: Uppers to (0) in Intersections of Prime Ideals in Polynomial Rings
Placement: Northwest La State
Advisor: Abraham Charnes
Dissertation: On Some Problems of Chance-Constrained Programming
Advisor: Martha Smith
Dissertation: On the Stable Rank of Enveloping Algebras
Current Placement: Univ. of Texas, Corpus Christi
Degree Awarded 1990
Advisor: William Beckner
Dissertation: Fourier Analysis on the Sierpinski Gasket.
Current Placement: University of Iowa
Advisor: Michael Starbird
Dissertation: The Repovs Conjecture
Current Placement: Wooster College
Advisor: Jeffrey Vaaler
Dissertation: Diophantine Approximation in S-integers
Current Placement: Williams College
Advisor: Abraham Charnes and Patrick Brockett
Dissertation: Chance Constrained Programming and Chebychev Systems with Applications
Advisor: William Schelter
Dissertation: On Some Questions Concerning Weak Identities, Invariants, and Integrality
Advisor: David M. Young, Jr.
Dissertation: Generalized Conjugate Gradient and Lanczos Methods for the Solution of Nonsymmetric Systems of Linear Equations
Current Placement: Los Alamos
Advisor: E. W. Cheney
Dissertation: The condition number and the singularity of a certain interpolation matrix
Advisor: Cameron Gordon
Dissertation: Non-simple ribbon fibered knots
Current Placement: Tokyo Denkii University
Advisor: Jeffrey Vaaler
Dissertation: Small Solutions to Inhomogeneous Systems of Linear Equations Over an Algebraic Number Field
Placement: Seattle Pacific Univ.
Advisor: David M. Young, Jr. and David Kincaid
Dissertation: The Iterative Solution of Large Sparse Linear Systems Using Vector Computers
Current Placement: Cray Research, Minnesota
Advisor: Cameron Gordon
Dissertation: Invariants of Link Cobordism
Current Placement: South Florida University
Advisor: Edward Odell
Dissertation: Sequential Domination in Banach Spaces and the Geometry of JH*
Current Placement: Kenyon College
Advisor: E.W. Cheney
Dissertation: Multivariate Interpolation Using Ridge or Related Functions
Placement: S.W. Missouri State University
Advisor: Cameron Gordon
Dissertation: The Reidemeister and Markov Theorems via Diagrams for Links in 3-Manifolds
Placement: Univ. of Wisconsin
Degree Awarded 1989
Advisor: William Eaton
Dissertation: Vorticist Denizens of R^3 are tame
Advisor: Efraim P. Armendariz
Dissertation: Isomorphic Ore Extensions of Automorphism Type
Placement: Yeungnam Univ., Korea
Advisor: William Eaton
Dissertation: A New Proof that 1-ULC Implies Tameness
Current Placement: College of Southern Nevada
Advisor: Haskell Rosenthal
Dissertation: On Uniform Structures in Infinite Dimensional Banach Spaces
Current Placement: UT El Paso
Advisor: William Beckner
Dissertation: Sobolev inequalities for ultra spherical polynomials
Current Placement: Mississippi State
Advisor: Cameron Gordon
Dissertation: Degree One Maps between Geometric Three-Manifolds
Current Placement: George Washington University
Advisor: David Hinkley
Dissertation: Accurate and Efficient Double-Bootstrap Methods
Advisor: Jeffrey Vaaler
Dissertation: Inequalities for Heights of Algebraic Subspaces with Applications to Construction of Auxiliary Polynomials
Current Placement: University of Texas at Austin
Advisor: David Hinkley
Dissertation: Saddlepoint Approximations in Statistics, Including Resampling
Current Placement: Texas A&M Univ.
Degree Awarded 1988
Advisor: Efraim P. Armendariz
Dissertation: Rational Function Skew Fields and Related Topics in Skew Field Theory
Advisor: Cameron Gordon
Dissertation: Surfaces in Three-Manifolds and Three-Manifold Triads
Placement: Ball State
Advisor: Ralph Showalter
Dissertation: Dynamics of Gas Absorption
Advisor: Carl Morris
Dissertation: Multiparameter Estimation in Normal Distributions: The Slightly Unequal Variance Case
Advisor: David Saltman
Dissertation: Function Fields of Generalized Brauer-Severi Varieties
Current Placement: University of Texas at Austin
Advisor: Ralph Showalter
Dissertation: Resolution of a Diffusion Problem Arising in the Flow of Fluids
Placement: Carnegie-Mellon
Advisor: Ralph Showalter
Dissertation: The Continuous Dependence of Solutions to a Cauchy Problem.
Placement: Mississippi State Univ.
Degree Awarded 1987
Advisor: David Saltman and Martha Smith
Dissertation: Invertible Modules
Advisor: Ralph Showalter
Dissertation: Homogenization of the Layered Medium Equation.
Advisor: David Scott and Alan Cline
Dissertation: Preconditioning Bigenvalue Problems
Advisor: Cameron Gordon
Dissertation: Incompressible Surfaces in Alternating Zink Complements
Degree Awarded 1986
Advisor: Robert S. Boyer and J. Strother Moore
Dissertation: Proving and Discovering Geometry Theorems Using Wu's Method
Advisor: Carl Morris
Dissertation: Empirical Bayes Statistics: A Comprehensive Theory for Data Analysis
Advisor: Carl Morris
Dissertation: Empirical Bayes Methods for Spatial Data
Advisor: Cameron Gordon
Dissertation: Finite Covers of Haken 3-Manifolds
Advisor: David M. Young
Dissertation: Adaptive Iterative Algorithms for Large Sparse Linear Systems
Advisor: Bruce Palka
Dissertation: Quasiconformal groups and Quasisymmetric Embeddings
Advisor: Cameron Gordon
Dissertation: Heegaard splitting and groups presentations
Advisor: Gary L. Wise
Dissertation: Some Problems in Martingale-Like Operators and Flows of Sigma Algebras Arising in Communication Theory.
Advisor: Ralph Showalter
Dissertation: A Stefan Problem with Prescribed Convection
Advisor: Bruce Palka
Dissertation: On the Laplace-Beltram Operator in Hyperbolic Space
Advisor: William Eaton
Dissertation: Critical Level Embeddings of S^3 in S^4
Advisor: Haskell Rosenthal
Dissertation: The Radon Nikodym Property for Convex Sets.
Degree Awarded 1985
Advisor: Edward W. Odell
Dissertation: On the Isomorphic Structure of the Stopping Time Banach Space and on the Problem of Best Compact Approximation for Operators Between Lp Spaces.
Advisor: Peter W. M. John
Dissertation: Ordering the Points in Factorial Experiments to Protect against Early Termination
Degree Awarded 1984
Advisor: Peter W. M. John
Dissertation: D-optimal experimental designs and alternative models for quadratic blending with process variables
Advisor: Andrew J. Casson
Dissertation: On immersed 2-spheres in some 4-manifolds
Advisor: Haskell P. Rosenthal
Dissertation: Properties of Tauberian operators on Banach spaces
Advisor: Graham F. Carey
Dissertation: Adaptive finite element grid generation and extension for elliptic problems posed on unbounded domains
Advisor: Efraim Armendariz
Dissertation: Regular and strongly pi-regular rings
Degree Awarded 1983
Advisor: Klaus R. Bichteler
Dissertation: A simple version of the Malliavin calculus with applications to the filtering equation
Advisor: Abraham Charnes
Dissertation: Informatics, analysis, and solution of a class of constrained integer network problems
Degree Awarded 1982
Advisor: Abraham Charnes
Dissertation: On some economic distribution and network problems
Advisor: Howard E. Lacey and John E. Gilbert
Dissertation: On the boundedness of the Banach space-valued Hilbert transform
Advisor: David M. Young, Jr.
Dissertation: Generalized conjugate gradient acceleration of iterative methods
Advisor: Stephen J. McAdam
Dissertation: Asymptotic primes and applications
Advisor: Jeffrey D. Vaaler
Dissertation: Inequalities for character sums
Placement: Rust College, Misissippi
Advisor: Murray R. Cantor
Dissertation: Decomposition of symmetric two-tensors over a compact Riemannian manifold with boundary
Advisor: Abraham Charnes
Dissertation: Goal arc methods in EEO planning and control
Degree Awarded 1981
Advisor: Michael P. Starbird
Dissertation: Countable cellular decomposition of S^(s)
Advisor: George G. Lorentz
Dissertation: Rolle's theorem for Birkoff systems
Advisor: Ralph E. Showalter
Dissertation: Degenerate evolution equations and inequalities
Advisor: Michael P. Starbird
Dissertation: The theory of block complexes with an application to manifold splittings
Advisor: Peter W. M. John
Dissertation: Trace optimality in non-orthogonal blocking designs of two-level factorial experiments
Advisor: Jeffrey D. Vaaler
Dissertation: Limit theorems for sequences of divisor distributions
Placement: Univ. of Tennesee
Degree Awarded 1980
Advisor: John E. Gilbert
Dissertation: Conjugate Hankel transforms and Hp-theory
Advisor: Stephen J. McAdam
Dissertation: Prime divisors and the altitude formula
Degree Awarded 1979
Advisor: John D. Dollard
Dissertation: Quantum-mechanical scattering theory for long-range oscillatory potentials
Advisor: Ralph E. Showalter
Dissertation: Implicit degenerate evolution equations in Hilbert spaces
Advisor: Don E. Edmondson
Dissertation: Unique periodic solutions of a class of differential equations and composite solutions of a system of partial differential equations
Advisor: James W. Vick
Dissertation: Smooth group actions of prime order and fixed point sets
Degree Awarded 1978
Advisor: Anthony A. Iarrobino
Dissertation: Hilbert functions of vector spaces of forms
Advisor: R. H. Bing
Dissertation: Some properties of patched 2-spheres
Advisor: Klaus R. Bichteler
Dissertation: Sample path properties of continuous local Martingales
Advisor: Charles N. Friedman
Dissertation: Asymptomatic behavior of solutions of the radical Schroedinger equation and applications to long-range potential scattering
Degree Awarded 1977
Advisor: Ralph E. Showalter
Dissertation: A degenerate evolution equation for fluid flow in multi-porous media
Advisor: Abraham Charnes
Dissertation: Goal interval methods for some problems of economic policy and stabilization
Advisor: R. H. Bing
Dissertation: Stable homeomorphisms on the pseudo-arc
Advisor: Howard E. Lacey
Dissertation: Studies in local unconditional structure in Banach spaces and characterizations of complex predual L1-spaces
Advisor: Newcomb Greenleaf
Dissertation: Difference relations and algebra: a constructive study
Advisor: Ralph E. Showalter
Dissertation: Galerkin approximation of some nonlinear partial differential equations modeling long waves in shallow water
Advisor: Abraham Charnes
Dissertation: Entropic solutions and disruption solutions for n-person games
Advisor: Peter W. M. John
Dissertation: Topics in partially balanced designs
Degree Awarded 1976
Advisor: John R. Durbin
Dissertation: Wreath products with supersolvable automorphism groups
Degree Awarded 1975
Advisor: Larry L. Schumaker
Dissertation: Discrete polynomial spline approximation methods
Advisor: Newcomb Greenleaf
Dissertation: Automorphism groups of compact Klein surfaces with boundary
Advisor: Newcomb Greenleaf
Dissertation: Fundamental domains and projective structures on compact Klein surfaces
Advisor: Abraham Charnes
Dissertation: Topics in network scheduling
Degree Awarded 1974
Advisor: Larry L. Schumaker
Dissertation: Structure and characterization of pLq-splines
Advisor: John R. Cannon
Dissertation: The numerical approximation of certain parabolic equations backward in time via Sobolev equations
Advisor: John R. Durbin
Dissertation: Representations of wreath products
Advisor: John E. Gilbert
Dissertation: Harmonic analysis on SO(3)
Advisor: Elliott Ward Cheney, Jr.
Dissertation: Optimization of the Lagrange interpolation process
Advisor: John E. Gilbert
Dissertation: Topics in harmonic analysis with applications to abstract Besov and Sobolev spaces
Advisor: John E. Gilbert
Dissertation: Stone-Weierstrass properties in some commutative Banach algebras
Degree Awarded 1973
Advisor: Robert E. Greenwood
Dissertation: On a Menger graph distance problem
Advisor: Stephen J. McAdam
Dissertation: Chains of primes in a Noetherian domain
Advisor: Peter W. M. John
Dissertation: On resistance of balanced incomplete block designs
Advisor: William T. Guy, Jr.
Dissertation: On tensors and extensors having complex components
Degree Awarded 1972
Advisor: Sterling. K. Berberian
Dissertation: On maximal rings of quotients of finite Baer*-rings
Advisor: Robert E. Greenwood
Dissertation: Numerical integration facilitated by polynominals in e(^x)
Advisor: George G. Lorentz
Dissertation: Interpolation of operators in function spaces
Advisor: Abraham Charnes
Dissertation: A mathematical theory of coalitions and Competition in Resource Development
Advisor: Howard E. Lacey and Hubert S. Wall
Dissertation: Some summability theorems concerning a certain class of sequences
Degree Awarded 1971
Advisor: John R. Durbin
Dissertation: Conjugacy theorems in locally finite groups
Advisor: Howard V. Craig
Dissertation: On certain extensor structures in the calculus of variations
Advisor: Woodrow W. Bledsoe
Dissertation: Locking: a restriction of resolution
Advisor: Robert E. Greenwood
Dissertation: Group exponential polynominals and enumeration of paths on a lattice
Advisor: Abraham Charnes
Dissertation: Non-cooperative game theory and industrial competition
Advisor: Galen L. Seever
Dissertation: Contractive projections in abstract Banach function spaces
Advisor: William T. Guy, Jr.
Dissertation: A generalized Mellin transform
Advisor: Hubert S. Wall
Dissertation: Concerning continued fractions
Advisor: David M. Young, Jr.
Dissertation: An analysis of a class of norms of iterative methods for systems of linear equations
Advisor: Efraim Armendariz
Dissertation: Maximal quotient rings and S-rings
Advisor: Howard E. Lacey
Dissertation: On some classes of Banach spaces whose duals are abstract L-spaces
Advisor: Don E. Edmondson
Dissertation: Modularity and decomposition of semilattices
Advisor: William T. Guy, Jr.
Dissertation: Laplace-Stieltjes transform of Mikusinski operator functions
Degree Awarded 1970
Advisor: Elliott Ward Cheney, Jr.
Dissertation: Extensions and projections in spaces of continuous functions
Advisor: Woodrow W. Bledsoe
Dissertation: Some theoretical aspects of automatic theorem proving
Advisor: Robert E. Greenwood
Dissertation: The rectilinear crossing number for complete simple graphs in E2
Advisor: John R. Durbin
Dissertation: Groups with a characteristic cyclic series
Advisor: Robert T. Gregory
Dissertation: Preliminary investigations using interval arithmetic in the numerical evaluations of polynomials
Advisor: Hubert S. Wall
Dissertation: Concerning linear and nonlinear sequence to sequence transformations
Advisor: Robert E. Greenwood
Dissertation: Finite sets with special minimal properties
Advisor: Hubert S. Wall
Dissertation: On length and variation of simple graphs
Advisor: Efraim Armendariz
Dissertation: Restricted semiprimary rings
Advisor: Abraham Charnes
Dissertation: Goal programming and satisficing models in economic analysis
Advisor: David M. Young, Jr.
Dissertation: A multiplicity-independent, global iteration for meromorphic functions
Advisor: Roy P. Kerr
Dissertation: p-points in topological spaces
Advisor: Robert E. Greenwood
Dissertation: Numerical integration of analytic functions
Advisor: Elliott Ward Cheney, Jr.
Dissertation: Projections and approximation in a normed linear space
Advisor: David M. Young, Jr.
Dissertation: Finite-difference methods for a harmonic mixed boundary value problem
Degree Awarded 1969
Advisor: William T. Guy, Jr.
Dissertation: On properties of certain testing spaces
Advisor: Milo W. Weaver
Dissertation: Orbit-like relations on binary and N-ary groups
Advisor: Hubert S. Wall
Dissertation: Concerning Stieltjes Integrals
Advisor: William T. Guy, Jr.
Dissertation: Generalized functions of two discrete variables
Advisor: R. L. Moore
Dissertation: Concerning certain plane-like domains
Advisor: Robert T. Gregory
Dissertation: Bounds and location theorems of the Eigenvalues of matrices partitioned into blocks
Advisor: Abraham Charnes
Dissertation: On some unimodular and boolean mathematical programming problems
Advisor: Don E. Edmondson
Dissertation: The structure of Hjelmslev space: a generalization of projective space
Advisor: Hubert S. Wall
Dissertation: On Baire systems of functions
Advisor: Hubert S. Wall
Dissertation: Concerning simple graphs dense in the plane
Advisor: Hubert S. Wall and R. L. Moore
Dissertation: Some separation theorems
Advisor: Hubert S. Wall
Dissertation: Convergence regions and value regions for continued fractions
Advisor: John R. Durbin
Dissertation: Factor coverings of groups
Advisor: Don E. Edmondson
Dissertation: Some results in Brouwerian lattices
Advisor: R. L. Moore
Dissertation: Concerning indecomposable continua and upper semi-continuous
Advisor: Woodrow W. Bledsoe
Dissertation: The regularity of a product measure using regular conditional measure
Degree Awarded 1968
Advisor: Howard E. Lacey
Dissertation: A study of left-prime ideals in topological rings
Advisor: Elliott Ward Cheney, Jr.
Dissertation: Some uncomplemented subspaces of C(X) of the type C(Y)
Advisor: Howard E. Lacey
Dissertation: Compact convex sets and continuous affine functions
Advisor: Hubert S. Wall
Dissertation: Existence of product integrals
Advisor: William T. Guy, Jr.
Dissertation: Infinite series transformations and their applications
Advisor: Hubert S. Wall
Dissertation: Inner product-type transformations
Advisor: Hubert S. Wall
Dissertation: Concerning an integral and number sets dense in an interval
Advisor: William T. Guy, Jr.
Dissertation: The two-dimensional Z transform with real domain and parameters
Advisor: Howard E. Lacey
Dissertation: Functors in categories of Banach spaces
Advisor: Robert E. Greenwood
Dissertation: Pseudo-mixing sequences of random variables
Advisor: Hubert S. Wall
Dissertation: Concerning pointwise discontinuous functions
Advisor: R. L. Moore
Dissertation: Concerning the separation of certain plane-like spaces by compact dendrons
Advisor: Howard E. Lacey
Dissertation: Spaces of Affine continuous functions
Advisor: Howard E. Lacey
Dissertation: Regular Borel measures on compact spaces
Advisor: William T. Guy, Jr.
Dissertation: An operational calculus on real valued set functions
Advisor: H. J. Ettlinger
Dissertation: On the Perron integral and solutions to partial differential equations
Advisor: Howard B. Curtis, Jr.
Dissertation: Some normal families of rational functions
Advisor: H. J. Ettlinger
Dissertation: Perron type differential and integral inequalities
Advisor: R. L. Moore
Dissertation: Concerning uncountable collections of mutually exclusive compact continua
Advisor: Hubert S. Wall
Dissertation: On a generalization of continuity
Advisor: Howard B. Curtis, Jr.
Dissertation: Rings of analytic functions
Advisor: William T. Guy, Jr.
Dissertation: Numerical calculation of the Laplace transform by the use of Legendre polynomials
Advisor: Elliott Ward Cheney, Jr.
Dissertation: On the (beta)-topology on C(X)
Degree Awarded 1967
Advisor: Hubert S. Wall
Dissertation: Concerning connected simple graphs
Advisor: Robert T. Gregory
Dissertation: Matrix scaling with respect to the maximum-norm, the sum-norm,
Advisor: Hubert S. Wall
Dissertation: A theorem concerning product integrals
Advisor: R. L. Moore
Dissertation: Concerning compact point sets with noncompact closures
Advisor: Hubert S. Wall
Dissertation: Certain linear transformations in a space of functions of two variables
Advisor: Roy P. Kerr
Dissertation: Killing vectors in empty, algebraically special Einstein manifolds with diverging ray congruences
Advisor: Roy P. Kerr
Dissertation: Homogeneous dust filled cosmological models
Advisor: Howard E. Lacey
Dissertation: Compact Hausdorff spaces which are supports of regular Borel measures
Advisor: Hubert S. Wall
Dissertation: Bounded slope variation and the Hellinger integral
Advisor: Howard B. Curtis, Jr.
Dissertation: Representation of uniformizing functions for certain simply and doubly connected Riemann surfaces
Advisor: Howard B. Curtis, Jr.
Dissertation: Fatou values of normal subharmonic functions
Advisor: Homer V. Craig
Dissertation: Contributions to the theory of higher degree extensors and related topics
Advisor: Don E. Edmondson
Dissertation: Homomorphic images of compactly generated lattices
Advisor: R. L. Moore
Dissertation: Holes in two-dimensional space
Advisor: Hubert S. Wall
Dissertation: Concerning lengths for continuous and noncontinuous curves
Advisor: Hubert S. Wall
Dissertation: A characterization of inner product spaces
Advisor: Hubert S. Wall
Dissertation: A representation theorem for bounded linear functionals
Degree Awarded 1966
Advisor: Patrick L. Odell
Dissertation: Contributions to the theory of pseudo inverses
Advisor: Homer V. Craig
Dissertation: Contribution to the theory of extensive differentiation and related topics
Advisor: Milo W. Weaver
Dissertation: A lattice of partitions on a group
Advisor: Don E. Edmondson
Dissertation: Compact integral domains with finite characteristic
Advisor: R. L. Moore
Dissertation: Concerning the sides from which certain sequences of arcs converge to a compact irreducible continuum
Advisor: Don E. Edmondson
Dissertation: (f)-derivations on a ring
Advisor: Patrick L. Odell
Dissertation: Contributions to the theory of numerical simulation
Advisor: David M. Young, Jr.
Dissertation: Error bounds on numerical solutions of Dirichlet problems for quasilinear elliptic equations
Advisor: William T. Guy, Jr.
Dissertation: The Holmgren-Riesz transform and its applications
Advisor: Clarence Coates, Jr. and Patrick L. Odell
Dissertation: Realization of sequential machines with threshold elements
Advisor: Hubert S. Wall
Dissertation: Concerning sequence to sequence transformations
Advisor: Elliott Ward Cheney, Jr.
Dissertation: A study of operators in approximation theory
Advisor: H. J. Ettlinger
Dissertation: Concerning the nonlinear differential equations H^1 (x)= f(x;H(x)), with elements in E^2
Advisor: Patrick L. Odell
Dissertation: Application of the theory of generalized matrix inversion to statistics
Advisor: Don E. Edmondson
Dissertation: A structure problem in asymptotic analysis
Advisor: Don E. Edmondson
Dissertation: Automorphisms of a class of finite groups
Advisor: Patrick L. Odell
Dissertation: Weighted generalized inverses with minimal p and q norms
Advisor: William T. Guy, Jr.
Dissertation: Numerical inversion of the Laplace transform by the use of Jacobi polynomials
Advisor: Hubert S. Wall
Dissertation: A substitution theorem for a Stieltjes integral
Advisor: Howard E. Lacey
Dissertation: Spaces of continuous functions on dispersed sets
Advisor: Hubert S. Wall
Dissertation: Pointwise limits of sequences of continuous functions
Advisor: Hubert S. Wall
Dissertation: Concerning pointwise limits of sequences of functions
Advisor: Hubert S. Wall
Dissertation: Concerning the value regions associated with a certain type of continued fraction
Advisor: R. L. Moore
Dissertation: A space whose regions are the simple domains of another space
Advisor: Don E. Edmondson
Dissertation: Congruences on an inverse semigroup
Advisor: R. L. Moore
Dissertation: Reversibly continuous bisensed transformations of an annulus into itself
Advisor: William T. Guy, Jr.
Dissertation: Block partitioned matrix theory and solution of systems of certain partial differential equations
Advisor: Hubert S. Wall
Dissertation: Linear transformations in a function space
Advisor: Patrick L. Odell
Dissertation: Interval estimation of a stimulus levels of order infinity in sensitivity testing
Advisor: Hubert S. Wall
Dissertation: Pointwise limits of quasi-continuous functions
Advisor: H. J. Ettlinger
Dissertation: An integral equation and the related differential equation boundary problem
Advisor: Elliott Ward Cheney, Jr.
Dissertation: Continuity of metric projections' approximation theory in a normed linear lattice
Degree Awarded 1965
Advisor: R. L. Moore
Dissertation: Concerning uncountable collections of triods
Advisor: Don E. Edmondson
Dissertation: On the lattice of continuous functions on a completely regular G(d)-space
Advisor: Robert T. Gregory
Dissertation: A model for a fact retrieval system
Advisor: William T. Guy, Jr.
Dissertation: A generalization of the finite Fourier transformations
Advisor: Hubert S. Wall
Dissertation: A generalization of the real-number axioms
Advisor: Robert T. Gregory
Dissertation: Syntax-directed translation for experimental programming languages
Advisor: R. L. Moore
Dissertation: Concerning upper semi-continuous collections of finite point sets
Advisor: H. J. Ettlinger
Dissertation: Operation solution of partial derivative equations of hyperbolic and parabolic type
Advisor: Hubert S. Wall
Dissertation: Uniform completeness of sets generated by a single function
Degree Awarded 1964
Advisor: Hubert S. Wall
Dissertation: Orthogonality in normed linear spaces
Advisor: William T. Guy, Jr.
Dissertation: A generalization of the Laplace transform
Advisor: James E. Scroggs
Dissertation: A Banach algebra of analytic functions
Advisor: Hubert S. Wall
Dissertation: Cauchy sequences in abstract spaces
Advisor: H. J. Ettlinger
Dissertation: On the Abel equation in n-dimensions, n equal or more than 2
Advisor: Robert E. Greenwood
Dissertation: Concerning certain lattice paths and lattice point theorems
Advisor: Don E. Edmondson
Dissertation: Psuedo-Metric axioms of a Euclidean geometry
Advisor: Robert T. Gregory
Dissertation: On the tridiagonalizaton of a non-Hermitian matrix using similarity transformations
Advisor: H. J. Ettlinger
Dissertation: On the mixed partial derivative operator and its inverse
Advisor: Alfred Schild
Dissertation: Degenerate fields with twisting rays
Degree Awarded 1963
Advisor: H. B. Curtis
Dissertation: A class of Riemann surfaces
Advisor: Hubert S. Wall
Dissertation: Concerning Completely Convex Sets
Advisor: Don E. Edmondson
Dissertation: Structure theorems for a class of groups
Advisor: Hubert S. Wall
Dissertation: A study of the structure of linear spaces
Advisor: Hubert S. Wall
Dissertation: Some Theorems on functional analysis
Advisor: David M. Young, Jr.
Dissertation: The Block Symmetric Successive Overrelaxation Method
Advisor: H. J. Ettlinger
Dissertation: Some Generalized Green's Functions
Advisor: Hubert S. Wall
Dissertation: Concerning a Functional Inequality
Advisor: Hubert S. Wall
Dissertation: Concerning a mean integral
Advisor: William T. Guy, Jr.
Dissertation: A class of integral transforms for functions which are O(e^bt2 ) as t-> infinity
Advisor: Hubert S. Wall
Dissertation: An Integral of a function with respect to a function in a rectangular interval
Degree Awarded 1962
Advisor: Hubert S. Wall
Dissertation: On Sequence to Sequence Transformations
Advisor: R. L. Moore
Dissertation: On the most general plane closed point set through which it is possible to pass a pseudo-arc
Advisor: Hubert S. Wall
Dissertation: Integral Equations in Normed Abelian Groups
Advisor: Don E. Edmondson
Dissertation: Structure theorems for Boolian Matrices
Advisor: H. B. Curtis
Dissertation: On the problem of Type and the Uniformizing Function for Certain Riemann Surfaces
Advisor: H. B. Curtis
Dissertation: A Topological space of analytic functions
Advisor: R. E. Lane
Dissertation: The integral of a function with respect to a function pair
Advisor: William T. Guy, Jr.
Dissertation: A Representation Theorem for the Laplace Transform
Degree Awarded 1961
Advisor: Hubert S. Wall
Dissertation: Concerning the uniform polynomial approximation of a bounded function
Advisor: Hubert S. Wall
Dissertation: Solutions of analytic equations and solutions of first order, analytic differential equations
Advisor: R. E. Greenwood
Dissertation: Some Marginal Distributions associated with permutation cycles
Advisor: Hubert S. Wall
Dissertation: A convergence problem for continued fractions
Advisor: H. J. Ettlinger
Dissertation: Relationships and analogue between the finite calculus and the limit calculus of polynomials
Advisor: H. J. Ettlinger
Dissertation: An Existence and Uniqueness Theorem for Integro-partial differential equations
Degree Awarded 1960
Advisor: William T. Guy, Jr.
Dissertation: On Inversion of the Laplace Transformation by means of a step function
Advisor: Hubert S. Wall
Dissertation: Concerning polynomial sequences and the distribution of their zeros
Advisor: H. J. Ettlinger
Dissertation: Solutions of a system of two nonlinear partial differential equations of the first order, with accessory boundary equations
Advisor: Alfred Schild
Dissertation: On the consequences of momentum conservation laws in a gravitational theory of the Whitehead type
Advisor: R. E. Lane
Dissertation: A Hellinger Integral representation for bounded linear functionals
Degree Awarded 1959
Advisor: R. L. Moore
Dissertation: Proof that every compact continuum which is topologically equivalent to each of its nondegenerate subcontinua is an arc
Degree Awarded 1958
Advisor: H. J. Ettlinger
Dissertation: Operator matrices and systems of linear partial differential equations
Advisor: Hubert S. Wall
Dissertation: Some convergence theorems for continued fractions
Advisor: R. L. Moore
Dissertation: Concerning locally peripherally separable spaces
Advisor: H. J. Ettlinger
Dissertation: Absolutely continuous solutions of Uxy=f(x,y,u,u_x ,u_y )
Advisor: Hubert S. Wall
Dissertation: Concerning the Hausdorff inclusion problem
Advisor: R. L. Moore
Dissertation: Concerning dense metric subspaces of certain nonmetric spaces
Degree Awarded 1957
Advisor: H. J. Ettlinger
Dissertation: Interated Holmgren-Riesz transforms in two dimensions
Advisor: Hubert S. Wall
Dissertation: Continued fractions with absolutely convergent even or odd part
Advisor: H. S. Vandiver
Dissertation: Interrelations between the numbers of Bell, Bernoulli, Euler, Fibonacci, and Lucas
Advisor: R. L. Moore
Dissertation: A theorem on spirals in plane
Advisor: Hubert S. Wall
Dissertation: Continuous products and nonlinear integral equations
Degree Awarded 1956
Advisor: E. W. Titt
Dissertation: Integration formulae and boundary conditions for the hyperbolic differential equation with three independent variables and regions interior to the cone
Advisor: Hubert S. Wall
Dissertation: Some convergence sets for a continued fraction
Advisor: H. S. Vandiver
Dissertation: The application of cosets and correspondence in the theory of semi-groups
Degree Awarded 1955
Advisor: E. W. Titt
Dissertation: Integration formulae and boundary conditions for the elliptic parabolic partial differential equation with three independent variables
Advisor: William T. Guy, Jr.
Dissertation: On the Hankel transform
Advisor: R. L. Moore
Dissertation: Concerning spirals in the plane
Advisor: R. L. Moore
Dissertation: A connected point set in the plane which spirals down on each of its points
Advisor: E. W. Titt
Dissertation: Integration formulae and boundary conditions for the hyperbolic equation with three independent variables and regions exterior to the cone
Degree Awarded 1954
Advisor: H. J. Ettlinger
Dissertation: Partial integro-differential equations and the H-R transform
Advisor: H. S. Vandiver
Dissertation: Generating functions for restricted partitions and the Von Sterneck number
Advisor: E. W. Titt
Dissertation: Integration formulae for the hyperbolic partial differential equation with four independent variables and regions interior to the cone
Advisor: William T. Guy, Jr. and Homer V. Craig
Dissertation: Stieltjes integral representation of convex functions
Degree Awarded 1953
Advisor: H. J. Ettlinger
Dissertation: A second-order theory for three-dimensional wings in supersonic flow
Advisor: R. L. Moore
Dissertation: Flat spaces for which the Jordan curve theorem holds true
Degree Awarded 1952
Advisor: R. L. Moore
Dissertation: Concerning continuous and equicontinuous collections of arcs
Advisor: R. L. Moore
Dissertation: Certain conditions under which the sum of the elements of a
Advisor: R. L. Moore
Dissertation: Concerning webs in the plane
Advisor: Hubert S. Wall
Dissertation: Uniform completeness of sets of reciprocals of linear functions
Degree Awarded 1951
Advisor: H. J. Ettlinger
Dissertation: Holmgren-Riesz transform
Advisor: H. J. Ettlinger
Dissertation: Ordinary differential equations of non-integral order
Advisor: R. L. Moore
Dissertation: Concerning continua and their complementary domains in the plane
Advisor: H. S. Vandiver
Dissertation: On the number of solutions of some general types of equations in a finite field
Advisor: Hubert S. Wall
Dissertation: Continued fractions in which the elements are operators in a linear space
Degree Awarded 1950
Advisor: Hubert S. Wall
Dissertation: Some convergence regions for a continued fraction
Advisor: Hubert S. Wall
Dissertation: Sequences of points in the complex plane
Advisor: Simpson Brown
Dissertation: The investigation of mathematical functions with a harmonic synthesizer
Degree Awarded 1949
Degree Awarded 1948
Advisor: R. L. Moore
Dissertation: Concerning upper semi-continuous collections of continua
Degree Awarded 1947
Degree Awarded 1945
Degree Awarded 1942
Advisor: R. L. Moore
Dissertation: Concerning the outer boundaries of certain connected domains
Degree Awarded 1941
Advisor: H. S. Vandiver
Dissertation: Substitutes for the commutative law in the theory of semi-groups
Advisor: R. L. Moore
Dissertation: On compact unicoherent continua
Advisor: R. L. Moore
Dissertation: Concerning triodic continua
Advisor: R. L. Moore
Dissertation: I. Proper and reductive transformations. II. Continua obtained from sequences of simple chains of point sets. III. Distance axioms in Moore spaces. IV. Linear metric space. V. A space in which there may exist uncountable convergent sequences of points
Degree Awarded 1939
Advisor: E. G. Keller
Dissertation: The double-slot, salient field pole problem of the dynamo-electric machine
Advisor: H. J. Ettlinger
Dissertation: The oscillation of solutions of the general self-adjoint differential equation of the fourth order with special boundary conditions
Advisor: S. L. Brown__
Dissertation: Solution of analytic and differential equations by harmonic processes
Degree Awarded 1937
Advisor: H. J. Ettlinger
Dissertation: Non-unique solutions of first order ordinary differential equations
Degree Awarded 1935
Advisor: R. L. Moore
Dissertation: Concerning R. L. Moore's Axiom 5_1
Degree Awarded 1933
Degree Awarded 1932
Advisor: R. L. Moore
Dissertation: Spaces in which there exists contiguous points
Advisor: R. L. Moore
Dissertation: Spaces in which there exist uncountable
Degree Awarded 1931
Advisor: H. J. Ettlinger
Dissertation: A study of the mathematical processes used in sixteen gainful occupations in Nashville, Tennessee
Degree Awarded 1930
Advisor: R. L. Moore
Dissertation: On the existence of acyclic curves satisfying certain conditions with respect to a given continuous curve
Advisor: R. L. Moore
Dissertation: Some metric properties of descriptive planes
Degree Awarded 1929
Advisor: H. J. Ettlinger
Dissertation: Properties of Solutions of an Infinite System of Ordinary Linear Differential Equations of the First Order with Auxiliary Boundary Conditions
Advisor: R. L. Moore
Dissertation: Concerning non-dense plane continua
Degree Awarded 1927
Advisor: R. L. Moore
Dissertation: Concerning continua in the plane
Advisor: H. J. Ettlinger
Dissertation: Linear boundary value problems for ordinary differential equations and their associated difference equations
Degree Awarded 1925
Advisor: R. L. Moore
Dissertation: The double elliptic case of the Lie-Riemann-Helmholtz-Hilbert problem of the foundations of geometry.
Degree Awarded 1923
Degree Awarded 1916
Advisor: H. J. Ettlinger, M. B. Porter, E. L. Dodd
Dissertation: Functions of limited variation and Lebesgue integrals