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