# Past PhDs

 Dissertation: Low Regularity Solutions for Gravity Water Waves 2019-05 Dissertation: Singularities in U (2)-invariant 4d Ricci flow 2019-08 Dissertation: Sketches and Traces 2019-08 Dissertation: A Logical Theory of Confirmation 2019-08 Dissertation: Homological mirror symmetry for the genus 2 curve in an abelian variety and its generalized Strominger-Yau-Zaslow mirror 2019-05 Dissertation: The arithmetic Hodge-index theorem and rigidity of algebraic dynamical systems over function fields 2019-05 Dissertation: Kashaev-Reshetikhin Invariants for SL2(C) at Roots of Unity 2019-05 Dissertation: A Spin TQFT Related to the Ising Categories 2019-08 Dissertation: Polyfolds and Persistence 2019-08 Dissertation: Algorithmic Improvisation 2019-08 Dissertation: Microlocal sheaves and mirror symmetry 2019-05 Dissertation: Matroids and convex geometry in combinatorics and algebra 2019-05 Dissertation: Error Estimates for Least-Squares Problems 2019-05 Dissertation: Monodromy of Fukaya-Seidel categories mirror to toric varieties 2019-05 Dissertation: Tropical Lagrangians and Homological Mirror Symmetry 2019-05 Dissertation: Topics in Conditional Inference 2019-05 Dissertation: Analytic and Combinatorial Features of Stable Polynomials 2019-05 Dissertation: The Quantum Many-Body Problem: Methods and Analysis 2019-08 Dissertation: A constrained optimization problem for the Fourier transform 2019-05 Dissertation: On the k-Schur Positivity of k-Bandwidth LLT Polynomials 2019-08 Dissertation: Computable Continuous Structure Theory 2019-05 Dissertation: Nontrivial tori in spaces of symplectic embeddings 2019-05 Dissertation: Multilinear and Sharpened Inequalities 2019-05 Dissertation: Metastability of Zero Range Processes 2019-05 Dissertation: Combinatorial and Algorithmic Aspects of Hyperbolic Polynomials 2019-05 Dissertation: Structured Tensors and the Geometry of Data 2019-05 Dissertation: Fluctuation Analysis of Order Positions Under General Cancellations 2019-05 Dissertation: Computations of the cohomological Brauer group of some algebraic stacks 2019-05 Dissertation: Mean action of periodic orbits of area-preserving annulus diffeomorphisms 2019-05 Dissertation: Special Cycles on GSpin Shimura Varieties 2019-05 Dissertation: The Langlands-Kottwitz method and deformation spaces of $p$-divisible groups of abelian type 2019-05 Dissertation: Fast Algorithms for Interior Point Methods 2019-05 Dissertation: Deformations of overconvergent isocrystals on the projective line   2018-05 Dissertation: Rigid structures in traffic probability: with a view toward random matrices   2018-05 Dissertation: A method of constructing invariant measures at fixed mass   2018-05 Dissertation: A Localization Theorem for Derived Loop Spaces and Periodic Cyclic Homology   2018-05 Dissertation: On Betti Tables, Monomial Ideals, and Unit Groups   2018-05 Dissertation: On Stability and Doctor-optimality of Cumulative Offer Process   2018-08 Dissertation: The Arithmetic of Graph Polynomials   2018-12 Dissertation: Seiberg-Witten and Gromov invariants for self-dual harmonic 2-forms 2018-05 Dissertation: The Generalized External Order, and Applications to Zonotopal Algebra   2018-08 Dissertation: High-order Solution Transfer between Curved Meshes and Ill-conditioned Bézier Curve Intersection   2018-08 Dissertation: What Can You Say? Measuring the Expressive Power of Languages   2018-08 Dissertation: Algebraic Modular Forms on SO5(Q) and the Computation of Paramodular Forms   2018-05 Dissertation: Fast and Stable Low-Rank Symmetric Eigen-Update   2018-08 Dissertation: Modified scattering for the cubic Schrödinger equation small data solution on product space https://arxiv.org/abs/1803.01921 2018-08 Dissertation: Applications of the Intersection Theory of Singular Varieties   2018-05 Dissertation: Asymptotics of the Tate-Shafarevich Group   2018-05 Dissertation: Functions of nearly maximal Gowers-Host-Kra norms on Euclidean spaces   2018-05 Dissertation: Efficient implicit solvers for the discontinuous Galerkin method (PhD, Brown University) 2018-05 Dissertation: Simulating Nonlinear Faraday Waves on a Cylinder   2018-05 Dissertation: Independence, Amalgamation, and Trees   2018-05 Dissertation: Gromov-Witten Axioms for Symplectic Manifolds via Polyfold Theory   2018-05 Dissertation: A Hodge-theoretic study of augmentation varieties associated to Legendrian knots/tangles   2018-08 Dissertation: Locally Volume Collapsed 4-Manifolds with Respect to a Lower Sectional Curvature Bound 2018-08 Dissertation: Combinatorial Topology and Applications to Quantum Field Theory   2018-12 Dissertation: On Renormalized Volume   2018-05 Dissertation: Computing modular forms for the Weil representation   2018-05 Dissertation: Asymptotically Conical Metrics and Expanding Ricci Solitons   2018-05 Dissertation: Spectrum-Revealing Randomized Matrix Factorization: Theory and Algorithms 2018-12 Dissertation: Convergence Analysis of Randomized Block Lanczos Algorithms for Low-Rank Matrix Approximations   2018-08 Dissertation: Morse-Bott and Equivariant Theories Using Polyfolds   2018-08 Dissertation: A Combinatorial Model of Lagrangian Skeleta   2018-05 Dissertation: Theory of Real Bundles on the Projective Line 2017-05 Dissertation: Two Models of Coagulation With Instantaneous Gelation   2017-08 Dissertation: Posets, Polytopes, and Positroids 2017-05 Dissertation: Stability of Resonances under Singular Perturbations 2017-05 Dissertation: Geometric Constructions of Mapping Cones in the Fukaya Category 2017-08 Dissertation: Global well-posedness and parametrices for critical Maxwell-Dirac and massive Maxwell-Klein-Gordon equations with small Sobolev data 2017-08 Dissertation: The Complexity of Countable Structures 2017-05 Dissertation: Total positivity for Grassmannians and amplituhedra 2017-08 Dissertation: Quasi-Fuchsian surface subgroups of infinite covolume Kleinian groups 2017-08 Dissertation: Algebraic Geometry for Computer Vision 2017-05 Dissertation: Numerical methods for the Landau-Lifshitz equation in micromagnetics : the mimetic finite difference method and the mass-lumped finite element method 2017-05 Dissertation: Combinatorics and Computations in Tropical Mathematics 2017-08 Dissertation: Integral estimates for approximations by incompressible deformations 2017-05 Dissertation: Integers that can be written as the sum of two rational cubes 2017-05 Dissertation: Quantum groups, character varieties and integrable systems 2017-05 Dissertation: Combinatorial Analysis of Continuous Problems 2017-05 Dissertation: Eulerian Simulation of Elastic Membranes and Shells 2017-08 Dissertation: Essays in Mathematical Economics 2017-05 Dissertation: A Partial Characterization of $\square_\kappa$ for Plus-One Premice   2017-05 Dissertation: Towards a model theory of almost complex manifolds 2017-05 Dissertation: Applications of Toric Geometry to Geometric Representation Theory 2017-08 Dissertation: Reliable and Efficient Algorithms for Spectrum-Revealing Low-Rank Data Analysis 2016-12 Dissertation: Topological types of Algebraic stacks 2016-08 Dissertation: Quantales and Hyperstructures 2016-12 Dissertation: High Efficiency Spectral Analysis and BLAS-3 Randomized QRCP with Low-Rank Approximations 2015-12 Dissertation: Curved and anisotropic unstructured mesh generation and adaptivity using the Winslow equations 2016-08 Dissertation: Quasinormal modes of anti-de Sitter black holes 2016-08 Dissertation: A combinatorial approach to the q,t-symmetry in Macdonald polynomials 2016-08 Dissertation: Complex Boundary Integral Equation Formulation and Stability Analysis of a Maxwell Model and of an Elastic Model of Solid-Solid Phase Transformations 2016-08 Dissertation: Fun with Fields 2016-08 Dissertation: A Mathematical Exploration of a PDE System for Lithium-Ion Batteries 2016-08 Dissertation: Infinitary Limits of Finite Structures 2016-08 Dissertation: Spectral Analysis on Point Interactions 2016-08 Dissertation: Uniformization of semistable bundles on elliptic curves 2016-08 Dissertation: Modeling and optimization of transients in water distribution networks with intermittent supply 2016-05 Dissertation: Noncommutative Distributional Symmetries and Their Related de Finetti Type Theorems 2016-08 Dissertation: Combinatorics of the Asymmetric Simple Exclusion Process 2016-08 Dissertation: Goerss--Hopkins obstruction theory via model ?-categories 2016-08 Dissertation: Geometry and Conservation Laws for a Class of Second-Order Parabolic Equations 2016-08 Dissertation: Methods for Optimal Stochastic Control and Optimal Stopping Problems Featuring Time-Inconsistency 2016-12 Dissertation: Triangulated Categories of Motives over fs Log Schemes 2016-12 Dissertation: Decomposing Matrices, Tensors, and Images 2016-08 Dissertation: Interactions between computability theory and set theory 2016-08 Dissertation: Grothendieck resolution, affine Grassmannian, and Yangian 2016-08 Dissertation: Asymptotic PDE Models for Chemical Reactions and Diffusions 2016-05 Dissertation: Bilinear Quadratures and Their Application 2016-05 2015-05 Dissertation: Viscosity Solution Methods in Risk Analysis 2015-05 2015-05 2015-05 2015-05 Dissertation: Transformations of PDEs: Optimal Transport and Conservation Laws 2015-12 Dissertation: Distribution of Resonances in Scattering by Thin Barriers 2015-05 2015-05 2015-05 Dissertation: Quasilinear dynamics of KdV-type equations 2015-05 2015-05 2015-05 2015-05 2015-05 2015-05 2015-05 2015-05 2015-05 2015-05 2015-05 Dissertation: Noncommutative generalized Brownian motions with multiple processes 2015-05 2015-05 2015-05 2015-05 2015-05 Dissertation: An I/O-Complexity Lower Bound for All Recursive Matrix Multiplication Algorithms by Path-Routing 2015-12 2015-05 2015-05 2015-05 2015-05