Publications

Title Author Year Publication type
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)
Duality and Infinity Guillaume Massas; Wesley Holliday; Paolo Mancosu 2024 PhD 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)
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)
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)
Comonadicity for Localizations Daniel Chupin (advisor David Nadler); David Nadler 2023 PhD Thesis (Author field refers to student + advisor)
Applications of Semiclassical Analysis on the Quantized Torus Yonah Borns-Weil; Maciej Zworski 2023 PhD Thesis (Author field refers to student + advisor)
Morse-Bott Embedded Contact Homology Yuan Yao; Michael Hutchings 2023 PhD Thesis (Author field refers to student + advisor)
The 20 Vertex Model and Related Domino Tilings Frederick Huang; Sylvie Corteel 2023 PhD Thesis (Author field refers to student + advisor)
Twisted K-Theoretic Gromov-Witten Invariants and Euler Characteristics Irit Huq-Kuruvilla; Alexander Givental 2023 PhD Thesis (Author field refers to student + advisor)
Deterministic and stochastic fluid-structure interaction Jeffrey Kuan; Sunčica Čanić 2023 PhD Thesis (Author field refers to student + advisor)
Compactness theorems on hyperkähler 4-manifolds Hongyi Liu; Song Sun 2023 PhD Thesis (Author field refers to student + advisor)
Some aspects of geometric actions of hyperbolic and relatively hyperbolic groups Eduardo Oregon Reyes; Ian Agol 2023 PhD Thesis (Author field refers to student + advisor)
Construction of Long-time Solutions for Inviscid Fluid Flows James Rowan; Daniel Tataru 2023 PhD Thesis (Author field refers to student + advisor)
A Collection of Results on Nonlinear Dispersive Equations, Banach Lattices and Phase Retrieval Mitchell Taylor; Daniel Tataru 2023 PhD Thesis (Author field refers to student + advisor)
Correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit Emily Bain; Nicolai Reshetikhin 2023 PhD Thesis (Author field refers to student + advisor)
Veering triangulations and pseudo-Anosov flows Chi Cheuk Tsang; Ian Agol 2023 PhD Thesis (Author field refers to student + advisor)
Saturated de Rham-Witt complexes with unit-root coefficients Ravi Fernando; Martin Olsson 2023 PhD Thesis (Author field refers to student + advisor)
Robust Optimization of Generalized Eigenvalue Problem for Positive Semi-definite Matrices Jiaming Wang; Ming Gu 2023 PhD Thesis (Author field refers to student + advisor)
Mean-Field Cooperative Multi-agent Reinforcement Learning: Modelling, Theory, and Algorithms Haotian Gu; Fraydoun Rezakhanlou; Xin Guo 2023 PhD Thesis (Author field refers to student + advisor)
New structures on embedded contact homology and applications to low-dimensional topology Luya Wang; Michael Hutchings 2023 PhD Thesis (Author field refers to student + advisor)
Multigraded Regularity and Betti Numbers on Smooth Projective Toric Varieties Lauren Cranton Heller; David Eisenbud 2023 PhD Thesis (Author field refers to student + advisor)