| 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              Curvature Bounds in Riemannian Geometry             | 
                      
              Michael Smith; Richard Bamler             | 
                      
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              Duality for boolean algebra expansions and its applications             | 
                      
              Kentaro Yamamoto             | 
                      
              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)             | 
                  
              
                      | 
              Singular stochastic differential equations with elliptic and hypoelliptic diffusions             | 
                      
              Kyeongsik Nam; Fraydoun Rezakhanlou             | 
                      
              2020             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Spherical and Symmetric Supervarieties             | 
                      
              Alexander Sherman             | 
                      
              2020             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Reflection Principles and Ordinal Analysis             | 
                      
              James Walsh; Antonio Montalbán             | 
                      
              2020             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Random Matrix Theory in Numerical Linear Algebra             | 
                      
              Archit Kulkarni; Nikhil Srivastava             | 
                      
              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)             |