Dissertation: Chromatic applications of spectral algebraic geometry

Dissertation: The Allen-Cahn Euclidean isoperimetric problem and the Grad-Mercier equation in Plasma physics

Dissertation: TROPICAL MATROID HOMOLOGY

Dissertation: COERCIVENESS, WELL-POSEDNESS, AND BANACH NORMS PROPAGATION OF SOLUTIONS TO THE SYSTEM OF BOLTZMANN EQUATIONS FOR A MONATOMIC GAS MIXTURE

Dissertation: CATEGORICAL REPRESENTATION THEORY AND THE COARSE QUOTIENT

Dissertation: TENSOR DIMENSIONALITY REDUCTION AND APPLICATIONS

Dissertation: SYMMETRIC UNION OF KNOTS, DOUBLE BRANCHED COVERS AND DEHN SURGERY

Dissertation: SOME ONSAGER'S CONJECTURE TYPE RESULTS FOR A FAMILY OF ODD ACTIVE SCALAR EQUATIONS

Dissertation: NILPOTENT HIGGS BUNDLES AND FAMILIES OF FLAT CONNECTIONS

Dissertation: REGULARITY OF ELLIPTIC TRANSMISSION PROBLEMS AND A NEW FAMILY OF INTEGRO-DIERENTIAL OPERATORS RELATED TO THE MONGE-AMPERE EQUATION

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

Dissertation: HIGHER-RANK GENERALIZATIONS OF CONVEX COCOMPACT AND GEOMETRICALLY FINITE DYNAMICS

Dissertation: OPTIMAL EXPERIMENTAL DESIGN FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS

Dissertation: OPTIMAL EXPERIMENTAL DESIGN FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS

Dissertation: PARTIAL REGULARITY RESULTS FOR THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION

Dissertation: ON THE DERIVATION AND UNIQUENESS OF THE GROSS-PITAEVSKII HIERARCHY FOR A BOSE GAS COUPLED TO A HEAVY TRACER PARTICLE

Dissertation: A CONVENIENT CATEGORY FOR GEOMETRIC TOPOLOGY

Dissertation: TAKING TOPOLOGICAL FIELD THEORY AT PHASE VALUE

Dissertation: APPROXIMATE EXTENSION IN SOBOLEV SPACE

Dissertation: APPROXIMATE EXTENSION IN SOBOLEV SPACE

Dissertation: GEOMETRIC DATA ANALYSIS FOR PHYLOGENETIC TREES AND NON-CONTRACTIBLE MANIFOLDS

Dissertation: TWO-BRIDGE LINKS, PRETZEL KNOTS AND BI-ORDERABILITY

Dissertation: A CAPILLARITY MODEL FOR SOAP FILMS

Dissertation: A LOCAL-TO-GLOBAL PRINCIPLE FOR MORSE QUASIGEODESICS

Dissertation: THE LANDAU LIMIT OF THE BOLTZMANN EQUATION AND FAST PARTICLE MOTION IN A TOKAMAK

Dissertation: SYMMETRIES OF KNOTS, BRANCHED CYCLIC COVERS, AND L-SPACES

Dissertation: NONLINEAR SCHRODINGER SYSTEMS ON THE THREE-DIMENSIONAL TORUS

Dissertation: ENDO-TRIVIAL MODULES FOR CYCLIC P-GROUPS AND GENERALIZED QUATERNION GROUPS VIA GALOIS DESCENT

Dissertation: ON THE WEAKLY DISORDERED ANDERSON MODEL AND ASPECTS OF ITS KINETIC SCALING LIMIT TO THE LINEAR BOLTZMANN EQUATION

Dissertation: Higher order extensions of the Boltzmann equation

Dissertation: Cusps and Codimension-1 Flats in Convex Projective Geometrey

Dissertation: Numerical Multiscale Methods for Boundary Layer Problems in Fluid Dynamics

Dissertation: On Poisson Follower Model

Dissertation: Numerical Methods for Averaging and Homogenization

Dissertation: Coordinate-Free Principles for Extension of Smooth Functions

Dissertation: The L2 Theory of Well-posedness for Hyperbolic Systems of Conservation Laws

Dissertation: Compactified Mirror Families for Positive Log Calabi-Yau Surfaces

Dissertation: Non-unique sofic entropy and a von Neumann algebra multiplicative ergodic theorem

Dissertation: OPTIMIZING MUTUAL INFORMATION OVER NEURAL TUNING CURVES

Dissertation: Conservative Spectral Methods of Fokker-Planck-Landau Type Equations: Simulations, Long-time Behaviour and Error Estimates

Dissertation: Old and New Perspectives on Effective Equations: A Study of Quantum Many-Body Systems

Dissertation: The De Giorgi method: Applications to degenerate PDE

Dissertation: The Ooguri-Vafa as a moduli space of framed wild harmonic bundles

Dissertation: GRADIENT-BASED OPTIMIZATION AND IMPLICIT REGULARIZATION OVER NON-CONVE X LANDSCAPES

Dissertation: Extremal problems in Fourier analysis, Whitney's theorem, and the interpolation of data

Dissertation: Andre-Quillen (co)homology and equivariant stable homotopy theory

Dissertation: On Spatial Birth-Death and Matching Processes, and Poisson Shot-Noise Fields

Dissertation: Methods for Solving Hamilton-Jacobi-Equations

Dissertation: Coupling and Unimodularity in Stationary Settings

Dissertation: A Study of the Three-Dimensional Quasi-Geostrophic System

Dissertation: Repulsion of Determinantal Point Processes and Stationary Poisson Tessellations in High Dimesions

Dissertation: On the dual complexes of certain Log Calabi-Yau pairs

Dissertation: Knot traces and the slice genus

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

Dissertation: Curvature Blow-up in Doublywarped Product Metrics Evolving by Ricci Flow

Dissertation: Equivariant aspects of topological Hochschild homology

Dissertation: Comparison Theorems of Phylogenetic Spaces and Algebraic Fans

Dissertation: Regularity of fractional analogue of k-Hessian operators and a non-local one-phase free boundary problem

Dissertation: Admissible groups and cluster structures of families of log Calabi-Yau surfaces