Past PhDs

Dissertation:

The Local Langlands Correspondence, Rapoport-Zink Spaces, and Shimura Varieties

2020-05
Dissertation:

Tropical Geometry of Curves

2020-05
Dissertation:

The Geometry of Divisors on Matroids

2020-05
Dissertation:

A Boundary Integral Method for Modeling Axisymmetric Flow Around a Rising Bubble in a Vertical Tube and Accurate Numerical Evaluation of Orthogonal Polynomials

2020-12
Dissertation:

Random Matrix Theory in Numerical Linear Algebra

2020-05
Dissertation:

Singular stochastic differential equations with elliptic and hypoelliptic diffusions

2020-05
Dissertation:

Global, Non-scattering Solutions to Energy Critical Geometric Wave Equations

2020-05
Dissertation:

Coisotropic Branes on Tori and Homological Mirror Symmetry

2020-08
Dissertation:

Spherical and Symmetric Supervarieties

2020-05
Dissertation:

Reflection Principles and Ordinal Analysis

2020-05
Dissertation:

Numerics and stability for orbifolds with applications to symplectic embeddings

2020-05
Dissertation:

Duality for boolean algebra expansions and its applications

2020-12
Dissertation:

Liaison of curves and bundles

2020-05
Dissertation:

Guts, Dehn Fillings and Volumes of Hyperbolic Manifolds

2020-05
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:

Dirac Triples for Unital AF Algebras

2019-12
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:

Two Geometric Results regarding Hölder-Brascamp-Lieb Inequalities, and Two Novel Algorithms for Low-Rank Approximation

2019-12
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:

Towards Informed Exploration for Deep Reinforcement Learning

2019-12
Dissertation:

Mean action of periodic orbits of area-preserving annulus diffeomorphisms

2019-05
Dissertation:

Density Functional Perturbation Theory and Adaptively Compressed Polarizability Operator

2019-12
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