| 
              What Can You Say? Measuring the Expressive Power of Languages             | 
                      
              Alexander Kocurek; Wesley Holliday; Seth Yalcin             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Locally Volume Collapsed 4-Manifolds with Respect to a Lower Sectional Curvature Bound             | 
                      
              Thunwa 'Nics' Theerakarn; John Lott             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Fast and Stable Low-Rank Symmetric Eigen-Update             | 
                      
              RuoChen Liang; Ming Gu             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Modified scattering for the cubic Schrödinger equation small data solution on product space             | 
                      
              Grace Liu; Daniel Tataru             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              (missing dissertation title)             | 
                      
              Shenghan Zhang             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              On Stability and Doctor-optimality of Cumulative Offer Process             | 
                      
              Kun Chen; Chris Shannon             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Convergence Analysis of Randomized Block Lanczos Algorithms for Low-Rank Matrix Approximations             | 
                      
              Qiaochu Yuan; Ming Gu             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Independence, Amalgamation, and Trees             | 
                      
              Nick Ramsey; Thomas Scanlon             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              A Combinatorial Model of Lagrangian Skeleta             | 
                      
              Alexander Zorn; David Nadler             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Gromov-Witten Axioms for Symplectic Manifolds via Polyfold Theory             | 
                      
              Wolfgang Schmaltz; Katrin Wehrheim             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              A Hodge-theoretic study of augmentation varieties associated to Legendrian knots/tangles             | 
                      
              Tao Su; Vivek Shende; Richard E. Borcherds             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Deformations of overconvergent isocrystals on the projective line             | 
                      
              Shishir Agrawal; David Nadler             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Algebraic Modular Forms on SO5(Q) and the Computation of Paramodular Forms             | 
                      
              Watson Ladd; Kenneth A. Ribet             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Rigid structures in traffic probability: with a view toward random matrices             | 
                      
              Benson Au; Steven N. Evans             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              A method of constructing invariant measures at fixed mass             | 
                      
              Justin T. Brereton; Daniel Tataru             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              On Renormalized Volume             | 
                      
              Franco Vargas Pallete; Ian Agol             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              A Localization Theorem for Derived Loop Spaces and Periodic Cyclic Homology             | 
                      
              Harrison Chen; David Nadler             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Applications of the Intersection Theory of Singular Varieties             | 
                      
              Daniel Lowengrub; Vivek Shende             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Computing modular forms for the Weil representation             | 
                      
              Brandon Williams; Richard E. Borcherds             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              On Betti Tables, Monomial Ideals, and Unit Groups             | 
                      
              Justin Chen; David Eisenbud             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Asymptotics of the Tate-Shafarevich Group             | 
                      
              Shelly Manber; Xinyi Yuan             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Asymptotically Conical Metrics and Expanding Ricci Solitons             | 
                      
              Patrick Wilson; John Lott             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Functions of nearly maximal Gowers-Host-Kra norms on Euclidean spaces             | 
                      
              Anh Martina Neuman; Michael Christ             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Efficient implicit solvers for the discontinuous Galerkin method             | 
                      
              Will Pazner; Per-Olof Persson; Chi-Wang Shu             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Efficient implicit solvers for the discontinuous Galerkin method             | 
                      
              Will Pazner; Per-Olof Persson; Chi-Wang Shu             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              (missing dissertation title)             | 
                      
              Qiaochu Yuan; David Nadler             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Seiberg-Witten and Gromov invariants for self-dual harmonic 2-forms             | 
                      
              Chris Gerig; Michael Hutchings             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Simulating Nonlinear Faraday Waves on a Cylinder             | 
                      
              Saad Qadeer; Jon Wilkening             | 
                      
              2018             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Quasi-Fuchsian surface subgroups of infinite covolume Kleinian groups             | 
                      
              Alvin Kerber; Ian Agol             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Applications of Toric Geometry to Geometric Representation Theory             | 
                      
              Qiao Zhou (Elaine); David Nadler             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Combinatorics and Computations in Tropical Mathematics             | 
                      
              Bo Lin; Bernd Sturmfels             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Two Models of Coagulation With Instantaneous Gelation             | 
                      
              Elan Bechor; Fraydoun Rezakhanlou             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Geometric Constructions of Mapping Cones in the Fukaya Category             | 
                      
              Kuan-Ying Fang; Denis Auroux             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Global well-posedness and parametrices for critical Maxwell-Dirac and massive Maxwell-Klein-Gordon equations with small Sobolev data             | 
                      
              Cristian Dan Gavrus; Daniel Tataru             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Eulerian Simulation of Elastic Membranes and Shells             | 
                      
              Ethan Van Andel; James A. Sethian             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              (missing dissertation title)             | 
                      
              Bryan Brown             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              (missing dissertation title)             | 
                      
              Derek Hollowood             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Total positivity for Grassmannians and amplituhedra             | 
                      
              Steven Karp; Lauren Williams             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Towards a model theory of almost complex manifolds             | 
                      
              Michael Wan; Thomas Scanlon             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Algebraic Geometry for Computer Vision             | 
                      
              Joe Kileel; Bernd Sturmfels             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Numerical methods for the Landau-Lifshitz equation in micromagnetics : the mimetic finite difference method and the mass-lumped finite element method             | 
                      
              Eugenia Kim; Jon Wilkening             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Theory of Real Bundles on the Projective Line             | 
                      
              Daniel Appel; David Nadler             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Integral estimates for approximations by incompressible deformations             | 
                      
              Christopher Policastro; Fraydoun Rezakhanlou             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Posets, Polytopes, and Positroids             | 
                      
              Anastasia Chavez; Lauren Williams; Federico Ardila             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Integers that can be written as the sum of two rational cubes             | 
                      
              Eugenia Rosu; Xinyi Yuan             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Stability of Resonances under Singular Perturbations             | 
                      
              Alexis Drouot; Maciej Zworski             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Quantum groups, character varieties and integrable systems             | 
                      
              Gus Schrader; Nicolai Reshetikhin             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Combinatorial Analysis of Continuous Problems             | 
                      
              Emmanuel Tsukerman; Lauren Williams; Bernd Sturmfels             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              The Complexity of Countable Structures             | 
                      
              Matthew Harrison-Trainor; Antonio Montalbán             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Essays in Mathematical Economics             | 
                      
              Markus Vasquez; Robert M. Anderson             | 
                      
              2017             | 
                      
              PhD Thesis (Author field refers to student + advisor)             |