Past PhDs

Dissertation:

Correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit

2023-05
Dissertation:

Comonadicity for Localizations

 

2023-08
Dissertation:

Saturated de Rham-Witt complexes with unit-root coefficients

2023-05
Dissertation:

Mean-Field Cooperative Multi-agent Reinforcement Learning: Modelling, Theory, and Algorithms

2023-05
Dissertation:

Multigraded Regularity and Betti Numbers on Smooth Projective Toric Varieties

2023-05
Dissertation:

Ehrhart Theory of Combinatorially Defined Polytopes

 

2023-08
Dissertation:

The 20 Vertex Model and Related Domino Tilings

2023-05
Dissertation:

Twisted K-Theoretic Gromov-Witten Invariants and Euler Characteristics

2023-05
Dissertation:

Deterministic and stochastic fluid-structure interaction

2023-05
Dissertation:

Compactness theorems on hyperkähler 4-manifolds

2023-05
Dissertation:

Some geometric methods in chromatic homotopy theory

 

2023-08
Dissertation:

Singular Alternating Matrices over Rings of Integers

 

2023-08
Dissertation:

Some aspects of geometric actions of hyperbolic and relatively hyperbolic groups

2023-05
Dissertation:

Construction of Long-time Solutions for Inviscid Fluid Flows

2023-05
Dissertation:

A Collection of Results on Nonlinear Dispersive Equations, Banach Lattices and Phase Retrieval

2023-05
Dissertation:

Veering triangulations and pseudo-Anosov flows

2023-05
Dissertation:

Robust Optimization of Generalized Eigenvalue Problem for Positive Semi-definite Matrices

2023-05
Dissertation:

New structures on embedded contact homology and applications to low-dimensional topology

2023-05
Dissertation:

Morse-Bott Embedded Contact Homology

2023-05
Dissertation:

Results on Unlikely Intersection Problems

 

2023-08
Dissertation:

Random Matrices and Provable Algorithms for Approximate Diagonalization

 

2022-05
Dissertation:

Making Sense of Protein Representation Learning in the Wild

 

2022-05
Dissertation:

Groups Acting on Products of Trees

 

2022-08
Dissertation:

Logical Interrogations of Theory and Evidence

 

2022-05
Dissertation:

Spectrum-Revealing CUR Decomposition

 

2022-08
Dissertation:

Efficient solvers for the implicit time integration of matrix-free high-order methods

2022-08
Dissertation:

Using integrable colored vertex models to study LLT polynomials, super ribbon functions, and domino tilings of the Aztec diamond

 

2022-12
Dissertation:

Symplectic geometric methods in microlocal sheaf theory

 

2022-05
Dissertation:

Neural Network Antisymmetries for Quantum Many-Body Simulation

 

2022-05
Dissertation:

Degenerations of Negative Kahler-Einstein Surfaces

 

2022-05
Dissertation:

Random Walks and Delocalization through Graph Eigenvector Structure

 

2022-05
Dissertation:

Singularity Theory for Extended Cobordism Categories and an Application to Graph Theory

 

2022-08
Dissertation:

Galilean Theory of Dispersion and Scattering for Kinetic Equations

 

2022-08
Dissertation:

Sublogarithmic-Transexponential Series

 

2022-05
Dissertation:

The Geometry of Hilbert Schemes on Projective Space

2022-05
Dissertation:

Discrete Systems in Quantum and Statistical Mechanics

 

2022-05
Dissertation:

High Order Implicit Shock Tracking using an Optimization-Based Discontinuous Galerkin Method

2022-12
Dissertation:

Valuations of Polyhedra and Coxeter Combinatorics

2022-05
Dissertation:

Horizontal-strip LLT polynomials

2022-05
Dissertation:

Quantum Eigenstate Filtering and Its Applications

2022-08
Dissertation:

Rigorous Guarantees for Randomized Diagonalization Algorithms

 

2022-12
Dissertation:

Distribution of Class Groups

2022-05
Dissertation:

Scattering resonances and the complex absorbing potential method

2022-05
Dissertation:

Quantum K-Theory of Flag Varieties and Non-Abelian Localization

2022-05
Dissertation:

An Efficient, Tolerance-Based Algorithm for the Truncated SVD

2022-08
Dissertation:

Mathematical Models and Control Algorithms for Traffic Automation

 

2022-05
Dissertation:

Some Problems on the Convex Geometry of Probability Measures

2022-08
Dissertation:

Simulating Many-body Quantum Dynamics on Classical and Quantum Computers

2021-08
Dissertation:

Lower Scalar Curvature Bounds for $C^0$ Metrics and Regularization by Ricci Flow

 

2021-08
Dissertation:

Higher Dimensional Trichotomy Conjectures in Model Theory

 

2021-05
Dissertation:

Convexity In Contact Geometry And Reeb Dynamics

 

2021-05
Dissertation:

Combinatorial Invariants on Smooth Projective Spherical Varieties

 

2021-08
Dissertation:

Statistics of Certain Automorphic Representations through the Stable Trace Formula

 

2021-05
Dissertation:

Propositional Quantification and Comparison in Modal Logic

 

2021-05
Dissertation:

Probabilistic Models and Statistical Tools for Gene Expression Analysis

 

2021-08
Dissertation:

Algorithms for Computing Highly Oscillatory Indefinite Integrals and Applications in Plasma Physics

 

2021-12
Dissertation:

Some results on arithmetic aspects of K3 surfaces and abelian varieties

 

2021-05
Dissertation:

Specialization maps for Scholze’s category of diamonds

 

2021-08
Dissertation:

Probabilistic and geometric methods in last passage percolation

 

2021-05
2021-05
Dissertation:

Limit shapes in two-dimensional lattice models arising from physics and combinatorics

 

2021-05
Dissertation:

Combinatorics of polytopes, orthogonal polynomials, and Markov chains

 

2021-05
Dissertation:

A relative version of Rochlin’s theorem

 

2021-08
Dissertation:

Ricci flows with non-compact initial conditions

 

2021-08
Dissertation:

Numerical Algorithm in Machine Learning and Data Analysis

2021-12
Dissertation:

Results on Martin's Conjecture

 

2021-08
Dissertation:

High Order Partitioned Fully Implicit Runge-Kutta Solvers for Fluid-Structure Interaction

 

2021-08
Dissertation:

Counting Points on Igusa Varieties of Hodge Type

 

2021-05
Dissertation:

SL_2(C)-holonomy invariants of links

 

2021-05
Dissertation:

On the Combinatorics of LLT Polynomials in Classical Lie Type

 

2021-08
Dissertation:

Pseudospectra of matrices and Point spectra of infinite graphs

 

2021-05
Dissertation:

Numerical Differentiation of Stationary Measures of Chaos

2021-05
Dissertation:

Factorization Algebras for Bulk-Boundary Systems

 

2021-08
Dissertation:

Hopf Monoids and the Theory of Valuations

 

2021-05
Dissertation:

Sums of Squares and Symmetric Polynomials

2021-05
Dissertation:

On the combinatorics of cluster structures on positroid varieties

 

2021-05
Dissertation:

Aspects of Martin's Conjecture and Inner Model Theory

 

2021-08
Dissertation:

Curvature Bounds in Riemannian Geometry

 

2021-08
Dissertation:

Higher Quasicoherent Sheaves

 

2021-05
Dissertation:

Coefficient Optimal Control Problems for Elliptic PDE

2021-05
Dissertation:

Microlocal analysis for 0th order pseudodifferential operators

2021-05
Dissertation:

Metric Algebraic Geometry

2021-05
Dissertation:

Mathematical Modeling of Human Learning and Decision Making

2021-05
Dissertation:

Efficient Second-Order Methods for Non-Convex Optimization and Machine Learning

2021-05
Dissertation:

Modified scattering for a scalar quasilinear wave equation satisfying the weak null condition

2021-05
Dissertation:

Structure-Informed Neural Network Architecture in Regression Applications

 

2021-12
Dissertation:

Algorithms in Tropical Geometry

2021-05
Dissertation:

Spatially Quasi-Periodic Gravity-Capillary Waves

 

2021-05
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