| 
              A Quantum Algorithm for the Finite Element Method             | 
                      
              Ahmad Alkadri; Lin Lin             | 
                      
              2025             | 
                      
              Master's Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              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)             | 
                  
              
                      | 
              From Voronoi Cells to Algebraic Statistics             | 
                      
              Yulia Alexandr; Bernd Sturmfels             | 
                      
              2023             | 
                      
              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)             | 
                  
              
                      | 
              Ehrhart Theory of Combinatorially Defined Polytopes             | 
                      
              Magda Hlavacek; Mark D. Haiman; Matthias Beck             | 
                      
              2023             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Some geometric methods in chromatic homotopy theory             | 
                      
              Kiran Luecke; Constantin Teleman             | 
                      
              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)             |