Publications

Title Author Year Publication type
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)
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)
Numerical Algorithm in Machine Learning and Data Analysis Bo Li; Ming Gu 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)
On the Combinatorics of LLT Polynomials in Classical Lie Type Jeremy Meza; Mark D. Haiman 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)
Numerical Differentiation of Stationary Measures of Chaos Angxiu Ni; John Strain 2021 PhD Thesis (Author field refers to student + advisor)
Pseudospectra of matrices and Point spectra of infinite graphs Satyaki Mukherjee; James Pitman; Nikhil Srivastava 2021 PhD Thesis (Author field refers to student + advisor)
Probabilistic and geometric methods in last passage percolation Milind Hegde; Alan Hammond; Shirshendu Ganguly 2021 PhD Thesis (Author field refers to student + advisor)
Hopf Monoids and the Theory of Valuations Mario Sanchez; Sylvie Corteel; Federico Ardila 2021 PhD Thesis (Author field refers to student + advisor)
Limit shapes in two-dimensional lattice models arising from physics and combinatorics David Keating; Nicolai Reshetikhin 2021 PhD Thesis (Author field refers to student + advisor)
Spatially Quasi-Periodic Gravity-Capillary Waves Xinyu Zhao; Jon Wilkening 2021 PhD Thesis (Author field refers to student + advisor)
Sums of Squares and Symmetric Polynomials Isabelle Shankar; Serkan Hosten; Jon Wilkening 2021 PhD Thesis (Author field refers to student + advisor)
Combinatorics of polytopes, orthogonal polynomials, and Markov chains Donghyun Kim; Sylvie Corteel 2021 PhD Thesis (Author field refers to student + advisor)
Mathematical Modeling of Human Learning and Decision Making Jimmy Xia; James Pitman; Anne Collins 2021 PhD Thesis (Author field refers to student + advisor)
On the combinatorics of cluster structures on positroid varieties Melissa Sherman-Bennett; Lauren Williams; Sylvie Corteel 2021 PhD Thesis (Author field refers to student + advisor)
Efficient Second-Order Methods for Non-Convex Optimization and Machine Learning Zhewei Yao; Michael Mahoney; Ming Gu 2021 PhD Thesis (Author field refers to student + advisor)
Modified scattering for a scalar quasilinear wave equation satisfying the weak null condition Dongxiao Yu; Daniel Tataru 2021 PhD Thesis (Author field refers to student + advisor)
Higher Quasicoherent Sheaves German Stefanich; David Nadler 2021 PhD Thesis (Author field refers to student + advisor)
Coefficient Optimal Control Problems for Elliptic PDE Peter Vinella; L. Craig Evans 2021 PhD Thesis (Author field refers to student + advisor)
Algorithms in Tropical Geometry Leon Zhang; Bernd Sturmfels 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)
Metric Algebraic Geometry Madeleine Weinstein; Bernd Sturmfels 2021 PhD Thesis (Author field refers to student + advisor)
Propositional Quantification and Comparison in Modal Logic Yifeng Ding; Wesley Holliday 2021 PhD Thesis (Author field refers to student + advisor)
SL_2(C)-holonomy invariants of links Calvin McPhail-Snyder; Nicolai Reshetikhin 2021 PhD Thesis (Author field refers to student + advisor)
Some results on arithmetic aspects of K3 surfaces and abelian varieties Anningzhe Gao; Martin Olsson 2021 PhD Thesis (Author field refers to student + advisor)
Duality for boolean algebra expansions and its applications Kentaro Yamamoto 2020 PhD Thesis (Author field refers to student + advisor)
A Boundary Integral Method for Modeling Axisymmetric Flow Around a Rising Bubble in a Vertical Tube and Accurate Numerical Evaluation of Orthogonal Polynomials Yanhe Huang 2020 PhD Thesis (Author field refers to student + advisor)
Coisotropic Branes on Tori and Homological Mirror Symmetry Yingdi Qin 2020 PhD Thesis (Author field refers to student + advisor)
Numerics and stability for orbifolds with applications to symplectic embeddings Ben Wormleighton; David Eisenbud 2020 PhD Thesis (Author field refers to student + advisor)
Liaison of curves and bundles Mengyuan Zhang; David Eisenbud 2020 PhD Thesis (Author field refers to student + advisor)
Global, Non-scattering Solutions to Energy Critical Geometric Wave Equations Mohandas Pillai 2020 PhD Thesis (Author field refers to student + advisor)
Guts, Dehn Fillings and Volumes of Hyperbolic Manifolds Yue Zhang; Ian Agol 2020 PhD Thesis (Author field refers to student + advisor)
The Local Langlands Correspondence, Rapoport-Zink Spaces, and Shimura Varieties Alexander Bertoloni Meli 2020 PhD Thesis (Author field refers to student + advisor)
The Geometry of Divisors on Matroids Christopher Eur; David Eisenbud 2020 PhD Thesis (Author field refers to student + advisor)
Singular stochastic differential equations with elliptic and hypoelliptic diffusions Kyeongsik Nam; Fraydoun Rezakhanlou 2020 PhD Thesis (Author field refers to student + advisor)