Publications

Title Author Year Publication type
Using integrable colored vertex models to study LLT polynomials, super ribbon functions, and domino tilings of the Aztec diamond Andrew Gitlin; Sylvie Corteel 2022 PhD Thesis (Author field refers to student + advisor)
High Order Implicit Shock Tracking using an Optimization-Based Discontinuous Galerkin Method Andrew Shi; Matthew Zahr; Per-Olof Persson 2022 PhD Thesis (Author field refers to student + advisor)
Singularity Theory for Extended Cobordism Categories and an Application to Graph Theory Kyle Miller; Ian Agol 2022 PhD Thesis (Author field refers to student + advisor)
Galilean Theory of Dispersion and Scattering for Kinetic Equations Nima Moini; Daniel Tataru 2022 PhD Thesis (Author field refers to student + advisor)
Groups Acting on Products of Trees Nicolas Brody; Ian Agol 2022 PhD Thesis (Author field refers to student + advisor)
Lower Scalar Curvature Bounds for C0 Metrics and Regularization by Ricci Flow Paula Burkhardt-Guim; Richard Bamler 2022 PhD Thesis (Author field refers to student + advisor)
Spectrum-Revealing CUR Decomposition Onyebuchi Ekenta; Ming Gu 2022 PhD Thesis (Author field refers to student + advisor)
Tropical Geometry of Curves Madeline Brandt; Bernd Sturmfels 2022 PhD Thesis (Author field refers to student + advisor)
Quantum Eigenstate Filtering and Its Applications Yu Tong; Lin Lin 2022 PhD Thesis (Author field refers to student + advisor)
An Efficient, Tolerance-Based Algorithm for the Truncated SVD Michael Yeh; Ming Gu 2022 PhD Thesis (Author field refers to student + advisor)
Efficient solvers for the implicit time integration of matrix-free high-order methods Michael Franco; Per-Olof Persson 2022 PhD Thesis (Author field refers to student + advisor)
Some Problems on the Convex Geometry of Probability Measures Theodore Zhu; James Pitman 2022 PhD Thesis (Author field refers to student + advisor)
Efficient solvers for the implicit time integration of matrix-free high-order methods Michael Franco; Per-Olof Persson 2022 PhD Thesis (Author field refers to student + advisor)
Horizontal-strip LLT polynomials Foster Tom; Mark D. Haiman 2022 PhD Thesis (Author field refers to student + advisor)
Degenerations of Negative Kahler-Einstein Surfaces Holly Mandel; Song Sun 2022 PhD Thesis (Author field refers to student + advisor)
Random Walks and Delocalization through Graph Eigenvector Structure Theo McKenzie; Luca Trevisan; Nikhil Srivastava 2022 PhD Thesis (Author field refers to student + advisor)
Distribution of Class Groups Weitong Wang; Melanie Wood 2022 PhD Thesis (Author field refers to student + advisor)
Scattering resonances and the complex absorbing potential method Haoren Xiong; Maciej Zworski 2022 PhD Thesis (Author field refers to student + advisor)
Random Matrices and Provable Algorithms for Approximate Diagonalization Jess Banks; Nikhil Srivastava 2022 PhD Thesis (Author field refers to student + advisor)
Quantum K-Theory of Flag Varieties and Non-Abelian Localization Xiaohan Yan; Alexander Givental 2022 PhD Thesis (Author field refers to student + advisor)
Making Sense of Protein Representation Learning in the Wild Nicholas Bhattacharya; Yun Song; Steven N. Evans 2022 PhD Thesis (Author field refers to student + advisor)
Sublogarithmic-Transexponential Series Adele Padgett; Thomas Scanlon 2022 PhD Thesis (Author field refers to student + advisor)
Mathematical Models and Control Algorithms for Traffic Automation Yiling You; Alexandre Bayen; Jon Wilkening 2022 PhD Thesis (Author field refers to student + advisor)
Logical Interrogations of Theory and Evidence Reid RG Dale; Thomas Scanlon; Wesley Holliday 2022 PhD Thesis (Author field refers to student + advisor)
The Geometry of Hilbert Schemes on Projective Space Ritvik Ramkumar; David Eisenbud 2022 PhD Thesis (Author field refers to student + advisor)
Higher Dimensional Trichotomy Conjectures in Model Theory Benjamin Castle; Thomas Scanlon 2022 PhD Thesis (Author field refers to student + advisor)
Discrete Systems in Quantum and Statistical Mechanics Meredith Shea; Nicolai Reshetikhin 2022 PhD Thesis (Author field refers to student + advisor)
Convexity In Contact Geometry And Reeb Dynamics Julian Chaidez; Michael Hutchings 2022 PhD Thesis (Author field refers to student + advisor)
Symplectic geometric methods in microlocal sheaf theory Christopher Kuo; Vivek Shende 2022 PhD Thesis (Author field refers to student + advisor)
Valuations of Polyhedra and Coxeter Combinatorics Mariel Supina; Federico Ardila; Nikhil Srivastava 2022 PhD Thesis (Author field refers to student + advisor)
Neural Network Antisymmetries for Quantum Many-Body Simulation Jeffmin Lin; Lin Lin 2022 PhD Thesis (Author field refers to student + advisor)
Numerical Algorithm in Machine Learning and Data Analysis Bo Li; Ming Gu 2021 PhD Thesis (Author field refers to student + advisor)
Structure-Informed Neural Network Architecture in Regression Applications Jiefu Zhang; Lin Lin 2021 PhD Thesis (Author field refers to student + advisor)
Algorithms for Computing Highly Oscillatory Indefinite Integrals and Applications in Plasma Physics Rockford Foster; Jon Wilkening 2021 PhD Thesis (Author field refers to student + advisor)
On the Combinatorics of LLT Polynomials in Classical Lie Type Jeremy Meza; Mark D. Haiman 2021 PhD Thesis (Author field refers to student + advisor)
Specialization maps for Scholze’s category of diamonds Ian Gleason; Sug Woo Shin 2021 PhD Thesis (Author field refers to student + advisor)
Factorization Algebras for Bulk-Boundary Systems Eugene Rabinovich; Peter Teichner 2021 PhD Thesis (Author field refers to student + advisor)
Aspects of Martin's Conjecture and Inner Model Theory Benjamin Siskind; Paolo Mancosu; John R. Steel 2021 PhD Thesis (Author field refers to student + advisor)
A relative version of Rochlin’s theorem Michael R Klug; Peter Teichner; Robion Kirby 2021 PhD Thesis (Author field refers to student + advisor)
Ricci flows with non-compact initial conditions Yi Lai; Richard Bamler 2021 PhD Thesis (Author field refers to student + advisor)
Simulating Many-body Quantum Dynamics on Classical and Quantum Computers Dong An; Lin Lin 2021 PhD Thesis (Author field refers to student + advisor)
Results on Martin's Conjecture Patrick Lutz; Theodore A. Slaman 2021 PhD Thesis (Author field refers to student + advisor)
Combinatorial Invariants on Smooth Projective Spherical Varieties Michael Christianson; Martin Olsson 2021 PhD Thesis (Author field refers to student + advisor)
High Order Partitioned Fully Implicit Runge-Kutta Solvers for Fluid-Structure Interaction Noble Macfarlane; Per-Olof Persson 2021 PhD Thesis (Author field refers to student + advisor)
Curvature Bounds in Riemannian Geometry Michael Smith; Richard Bamler 2021 PhD Thesis (Author field refers to student + advisor)
Probabilistic Models and Statistical Tools for Gene Expression Analysis Dan Daniel Erdmann-Pham; Yun Song; Steven N. Evans 2021 PhD Thesis (Author field refers to student + advisor)
Microlocal analysis for 0th order pseudodifferential operators Jian Wang; Maciej Zworski 2021 PhD Thesis (Author field refers to student + advisor)
Statistics of Certain Automorphic Representations through the Stable Trace Formula Rahul Dalal; Sug Woo Shin 2021 PhD Thesis (Author field refers to student + advisor)
Counting Points on Igusa Varieties of Hodge Type Sander Mack-Crane; Sug Woo Shin 2021 PhD Thesis (Author field refers to student + advisor)
A Mathematical Algorithm for Estimating the Rotational Diffusion Coefficients from X-ray Photon Correlation Spectroscopy Data Zixi Hu; James A. Sethian 2021 PhD Thesis (Author field refers to student + advisor)