Full text of dissertations can be found on the
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2012-13 ∼ 2011-12 ∼ 2010-11  2009-10  Archive

2013-14

Ulrik Buchholtz
Unfolding of Systems of Inductive Definitions
Advisor: Solomon Feferman

Alessandro Carlotto
Rigidity and flexibility phenomena in General Relativity
Advisor: Richard Schoen

Junsoo Ha
Some problems in multiplicative number theory
Advisor: Kannan Soundararajan

Yuncheng Lin
On Higher q, t-Catalan Numbers
Advisor: Ravi Vakil

Cary Malkiewich
Duality and linear approximations in Hochschild homology, K theory, and string topology
Advisor: Ralph Cohen

Daniel Kim Murphy
Algebraic Modular Forms on Definite Orthogonal Groups
Advisor: Akshay Venkatesh

Amy Pang
Hopf Algebras and Markov Chains
Advisor: Persi Diaconis

Jenya Sapir
Non-simple geodesics on surfaces
Advisor: Maryam Mirzakhani

Fernando Shao
Dichotomy between structure and randomness in combinatorial number theory
Advisor: Kannan Soundararajan

 

2012-13

Henry Adams
Evasion Paths in Mobile Sensor Networks
Advisor: Gunnar Carlsson

Rebecca Bellovin
p-adic Hodge theory in rigid analytic families
Advisor: Brian Conrad

Jonathan Campbell
Some Results on K-Theory, Topological Hochschild Homology, and Parameterized Spectra
Advisor: Ralph Cohen

Ilya Grigoriev
Relations Among Characteristic Classes of Manifold Bundles
Advisor: Soren Galatius

Nicholas Haber
Microlocal analysis of Lagrangian submanifolds of radial points
Advisor: Andras Vasy

Kenji Kozai
Singular hyperbolic structures on pseudo-Anosov mapping tori
Advisor: Steven Kerckhoff

Brandon Levin
G-valued flat deformations and local models
Advisor: Brian Conrad

Xiaodong Li
Sparse and Low-rank Structures in Robust Principal Component Analysis, Compressed Sensing with Corruptions, and Phase Retrieval
Advisor: Emmanuel Candes

Michael Lipnowski
Equivariant Torsion and Base Change
Advisor: Akshay Venkatesh

Minyu Peng
Deviation Inequalities for Eigenvalues of Deformed Random Matrices
Advisor: George Papanicolaou

Ian Petrow
Moments of Automorphic L-Functions and Related Problems
Advisor: Kannan Soundararajan

Maksym Radziwill
Zero-distribution and size of the Riemann zeta-function on the critical line
Advisor: Kannan Soundararajan

Nisan Stiennon
The moduli space of real curves and a Z/2-equivariant Madsen-Weiss theorem
Advisor: Soren Galatius

James Zhao
A Random Walk Through Combinatorial Probability
Advisor: Persi Diaconis

Xin Zhou
On the variational methods for minimal submanifolds
Advisor: Richard Schoen

 

2011-12

Atoshi Chowdhury
Compactifying Picard stacks over degenerations of surfaces
Advisor: Ravi Vakil

Luís Diogo
Filtered Floer and symplectic homology via Gromov-Witten theory
Advisor: Yakov Eliashberg

Sukhada Fadnavis
Graph Colorings and Graph Limits
Advisor: Persi Diaconis

Tsz Ho Fong
New Results on the Singularity Analysis of the Kaehler-Ricci Flow
Advisor: Richard Schoen

Kaveh Fouladgar
Regularity Theory for the Symmetric Minimal Surface Equation
Advisor: Leon Simon, Co-Advisor: Simon Brendle

Robert Hough
Distribution problems in number theory
Advisor: Kannan Soundararajan

Yunjiang Jiang
Mixing time of Markov chains on finite and compact Lie groups
Advisor: Persi Diaconis

Jonathan Lee
Stratifications and equivariant cohomology of spaces of upper-triangular square-zero matrices
Advisor: Gunnar Carlsson

Jeremy Miller
The topology of spaces of J-Holomorphic maps to C P^2
Advisor: Ralph Cohen

Emmy Murphy
Loose Legendrian Embeddings in High Dimensional Contact Manifolds
Advisor: Yakov Eliashberg

Tracy Nance
Equivariant Algebraic K-Theory of Products of Motivic Circles
Advisor: Gunnar Carlsson

Ha Pham
A model diffractive boundary value problem on an asymptotically anti-de Sitter space
Advisor: Andras Vasy

Simon Rubinstein-Salzedo
Controlling Ramification in Number Fields
Advisor: Akshay Venkatesh

David Sher
Conic Degeneration and the Determinant of the Laplacian
Advisor: Rafe Mazzeo

Mykhaylo Shkolnikov
Competing particle systems and their applications
Advisor: Amir Dembo

Aaron Smith
Some Analyses of Markov Chains by the Coupling Method
Advisor: Persi Diaconis

 

2010-11

Olena Bormashenko
Permutations with Interval Restrictions
Advisor: Persi Diaconis

Man Chuen Cheng
A Duality theorem for Deligne-Mumford Stacks with respect to Morava K-theory
Advisor: Soren Galatius

Jeffrey Danciger
Geometric transitions: from hyperbolic to anti de Sitter geometry
Advisor: Steven Kerckhoff

Jesse Gell-Redman
On harmonic maps into conic surfaces
Advisor: Rafe Mazzeo

Penka Georgieva
Orientability of moduli spaces and open Gromov-Witten invariants
Advisor: Eleny Ionel

Jack Hall
General Existence Theorems in Moduli Theory
Advisor: Ravi Vakil

Brian Krummel
Existence and regularity of branched minimal submanifolds
Advisor: Leon Simon

Man Chun Li
On a free boundary problem for embedded minimal surfaces and instability theorems for manifolds with positive isotropic curvature
Advisor: Richard Schoen

Xiannan Li
The behaviour of L-functions at the edge of the critical strip and applications
Advisor: Kannan Soundararajan

Jason Miller
Limit Theorems for Ginzburg-Landau Random Surfaces
Advisor: Amir Dembo

Dung Nguyen
Characteristic numbers of genus one space curves
Advisor: Ravi Vakil

Jose Perea
Topology of Spaces of Micro-Images, and an Application to Texture Discrimination
Advisor: Gunnar Carlsson

Anca Vacarescu
Filtering and Parameter Estimation for Partially Observed Generalized Hawkes Processes
Advisor: George Papanicolaou

 

2009-10

Dean Baskin
Wave equations on asymptotically de Sitter spaces
Advisor: Rafe Mazzeo

Yin Chan
Moduli Spaces of Pseudo-holomorphic Disks and Floer Theory of Cleanly Intersecting Immersed
Advisor: Eleny Ionel

Vorrapan Chandee
Upper bounds and moments of L-functions
Advisor: Kannan Soundararajan

Dmitriy Ivanov
Part I: Symplectic ice
Part II: Global and local Kubota symbols
Advisor: Daniel Bump

Jennifer Kloke
Methods and Applications of Topological Data Analysis
Advisor: Gunnar Carlsson

Robin Koytcheff
A homotopy-theoretic view of Bott-Taubes integrals and knot spaces
Advisor: Ralph Cohen

Anssi Lahtinen
String topology and twisted K-theory
Advisor: Ralph Cohen

Jason (Chieh-Cheng) Lo
Moduli Spaces of PT-Stable Objects
Advisor: Jun Li

Eric Malm
String Topology and the Based Loop Space
Advisor: Ralph Cohen

Yu-jong Tzeng
A Proof of the Göttsche-Yau-Zaslow Formula
Advisor: Jun Li

Thomas Williams
The Motivic Cohomology of Varieties of Long Exact Sequences
Advisor: Gunnar Carlsson

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