Publications

Title Author Year Publication type
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)
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)
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)
Mathematical Aspects of Quantum Signal Processing Jiasu Wang; Lin Lin 2024 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)
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)
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)
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)
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)
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)
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)
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)