| Countable Structures, Isomorphism, and Complexity | David Gonzalez; Antonio Montalbán | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Connectedness of the $b$-admissible loci of the $B_\dR$-Grassmannian | Zixin Jiang; Sug Woo Shin | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | A Quantum Algorithm for the Finite Element Method | Ahmad Alkadri; Lin Lin | 2025 | Master's Thesis (Author field refers to student + advisor) | 
              
                      | Ancestor-Descendant correspondence and $g=1$ permutation-equivariant quantum $K$-theory for symplectic target spaces | Dun Tang; Alexander Givental | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Scattering Resonances in Hyperbolic Dynamical Systems | Zhongkai Tao; Maciej Zworski | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Universal monodromic Hecke categories | Jeremy Taylor; David Nadler | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Gravitational instantons with conformally Kähler geometry | Mingyang Li; Song Sun | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Advances in Multiple Testing and Variable Selection | Yixiang Luo; William Fithian; Steven N. Evans | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Enhancing Auction Market Design through Stochastic Bilevel Control: A Proposal for Fees and Rebates | Tianrui Xu; Steven N. Evans; Thibaut Mastrolia | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | On Gallery Waves in Free Boundary Problems and Low Regularity Well-posedness for Quasilinear Dispersive Equations | Ovidiu-Neculai Avadanei; Daniel Tataru | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | On Coconnective coalgebras | Dennis Chen; David Nadler | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | On Calabi-Yau metrics of Calabi type | Yifan Chen; Song Sun | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Applications of Group Actions in Coloring Problems and Wallpaper Groups | Siqi Huang; Richard Borcherds | 2025 | Master's Thesis (Author field refers to student + advisor) | 
              
                      | Integrable Highest Weight Representations of Non-Symmetrizable Kac-Moody Superalgebras of Finite Growth | Adam Dhillon; Vera Serganova | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | The Spherical Hecke Category of a Real Reductive Group | Mark Macerato; David Nadler | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Hermitian Eigenproblems and Regularization of Nonnormal Eigenproblems | Rikhav Shah; Nikhil Srivastava | 2025 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Geometric Interpretation of Donkin's Tensor Product Theorem | Yixuan Li; David Nadler | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Mathematical Aspects of Quantum Signal Processing | Jiasu Wang; Lin Lin | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Dimensionality reduction in biology | Boyan Xu; Steven N. Evans; Ksenia Krasileva | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | On Calabi-Yau and singular K\"ahler-Einstein metrics asymptotic to cones, and Hermitian-Yang-Mills connections on some complete K\"ahler manifolds | Junsheng Zhang; Song Sun | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Ribbon Concordances and Representation Varieites | James Dix; Ian Agol | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Geometry of affine Deligne-Lusztig varieties | Dong Gyu Lim; Sug Woo Shin | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Free resolutions, linkage, and representation theory | Xianglong Ni; David Eisenbud | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Randomly Perturbed Berezin–Toeplitz Operators | Izak Oltman; Maciej Zworski | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | On Low Regularity Dynamics for Quasilinear Dispersive Equations and Free Boundary Problems | Benjamin Pineau; Daniel Tataru | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Tamely Ramified Automorphic Function Theory of the Rational Function Field | Tahsin Saffat; David Nadler | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Algebraic structures of fixed point Floer homology of Dehn twists | Ziwen Zhao; Michael Hutchings | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | A boundary value problem on manifolds with boundary | Mostafa Adnane; Nicolai Reshetikhin | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | On Multilinear Oscillatory Integrals and Associated Maximal Functions | Zirui Zhou; Michael Christ | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | The combinatorics of h*-polynomials of rational polytopes | Esme Bajo; Sylvie Corteel; Matthais Beck | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | A Microlocal Study of Étale Sheaves in Positive Characteristic | Tong Zhou; David Nadler | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | The Burau representation and Euclidean cone surfaces | Ethan Dlugie; Ian Agol | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Topology of Principally Regular Matrices | Max Zubkov; David Nadler | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Some quantitative results in symplectic geometry | Oliver Edtmair; Michael Hutchings | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Provably Efficient Algorithms for Non-convex Optimization with Benign Structures | Haixiang Zhang; Jon Wilkening; Javad Lavaei | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Properties of Knotoids and Z-Tangles | Larsen Linov; Ian Agol | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Developing medical digital twins from image data in inverse problem framework with neural networks | Franny Dean; Michael Lindsey | 2024 | Master's Thesis (Author field refers to student + advisor) | 
              
                      | Algebraic curves, Grassmannians, and integrable systems | Yelena Mandelshtam; Bernd Sturmfels | 2024 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | On the Brauer groups of fibrations | Yanshuai Qin; Xinyi Yuan | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Electronic Structures and Numerical Simulations for Twisted Bilayer Graphene | Qinyi Zhu; Lin Lin | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Quantum Signal Processing Algorithm and Its Applications | Yulong Dong; Lin Lin | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | A Hybrid Finite Difference Level Set–Implicit Mesh Discontinuous Galerkin Method for Multi-Layer Coating Flow Problems | Luke Corcos; James A. Sethian | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Reinforcement Learning and Variational Quantum Algorithms | Jiahao Yao; Lin Lin | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Kronecker-product Preconditioners and Agglomeration-based Multigrid for Galerkin Discretizations | Michael Heinz; Per-Olof Persson | 2023 | Master's Thesis (Author field refers to student + advisor) | 
              
                      | Dissipativity Theory for Evolutionary Games on Infinite Strategy Sets | Brendon Anderson; Alan Hammond | 2023 | Master's Thesis (Author field refers to student + advisor) | 
              
                      | From Voronoi Cells to Algebraic Statistics | Yulia Alexandr; Bernd Sturmfels | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Singular Alternating Matrices over Rings of Integers | Kristina Nelson; Kenneth A. Ribet; Melanie Matchett Wood | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Results on Unlikely Intersection Problems | Roy Zhao; Martin Olsson; Xinyi Yuan | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Comonadicity for Localizations | Daniel Chupin (advisor David Nadler); David Nadler | 2023 | PhD Thesis (Author field refers to student + advisor) | 
              
                      | Ehrhart Theory of Combinatorially Defined Polytopes | Magda Hlavacek; Mark D. Haiman; Matthias Beck | 2023 | PhD Thesis (Author field refers to student + advisor) |