# Past Ph.D.s

 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: 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 Dissertation: Martin-Löf Randomness and Brownian Motion 2014-05 Dissertation: Extremal Problems in Analysis 2014-05 Dissertation: Linearly reductive quantum groups: descent, simplicity and finiteness properties 2014-05 Dissertation: On extremizers for certain inequalities of the k-plane transform and related topics 2014-05 Dissertation: Instruction sets for walks and the quantile path transformation 2014-05 Dissertation: Randomizing Reals and the First-Order Consequences of Randoms 2014-05 Dissertation: Independence Relations in Theories with the Tree Property 2014-05 Dissertation: Homomorphisms between groups of diffeomorphisms 2014-05 2014-05 Dissertation: Albanese and Picard 1-Motives in Positive Characteristic 2014-05 Dissertation: Strong Well-foundedness and the Genericity of Countable Sets Dissertation: Arithmetic Dynamics of Diagonally Split Polynomial Maps 2014-05 Dissertation: Moduli of Elliptic Curves via Twisted Stable Maps 2014-05 2014-12 Dissertation: Computations and Moduli Spaces for Non-archimedean Varieties 2014-05 Dissertation: Numerical algebraic geometry for maximum likelihood estimation 2014-05 Dissertation: Variational Inequalities with Gradient Constraints 2014-12 Dissertation: Antimicrobial Applications of Ambient-Air Plasmas 2014-05 Dissertation: Construction of the unitary free fermion Segal conformal field theory 2014-05 2014-12 Dissertation: Eigenvalue Distributions of Symmetric Group Representations 2014-05 Dissertation: On Exotic Lagrangian Tori in CP2 2014-05 Dissertation: Combinatorial patterns in syzygies 2014-05 2014-05 2014-12 Dissertation: Computability in Ordinal Ranks and Symbolic Dynamics 2014-05 Dissertation: Cluster Algebras and Integrable Systems 2014-05 2014-12