2011

Olena Bormashenko—2011, Permutations with Interval Restrictions
Advisor: Persi Diaconis

Man Chuen Cheng—2011, A Duality theorem for Deligne-Mumford Stacks with respect to Morava K-theory
Advisor: Soren Galatius

Jeffrey Danciger—2011, Geometric transitions: from hyperbolic to anti de Sitter geometry
Advisor: Steven Kerckhoff

Jesse Gell-Redman—2011, On harmonic maps into conic surfaces
Advisor: Rafe Mazzeo

Penka Georgieva—2011, Orientability of moduli spaces and open Gromov-Witten invariants
Advisor: Eleny Ionel

Jack Hall—2011, General Existence Theorems in Moduli Theory
Advisor: Ravi Vakil

Brian Krummel—2011, Existence and regularity of branched minimal submanifolds
Advisor: Leon Simon

Man Chun Li—2011, On a free boundary problem for embedded minimal surfaces and instability theorems for manifolds with positive isotropic curvature
Advisor:Richard Schoen

Xiannan Li—2011, The behaviour of L-functions at the edge of the critical strip and applications
Advisor: Kannan Soundararajan

Jason Miller—2011, Limit Theorems for Ginzburg-Landau Random Surfaces
Advisor: Amir Dembo

Dung Nguyen—2011, Characteristic numbers of genus one space curves
Advisor: Ravi Vakil

Jose Perea—2011, Topology of Spaces of Micro-Images, and an Application to Texture Discrimination
Advisor: Gunnar Carlsson

Anca Vacarescu—2011, Filtering and Parameter Estimation for Partially Observed Generalized Hawkes Processes
Advisor: George Papanicolaou

2010

Dean Baskin—2010, Wave equations on asymptotically de Sitter spaces
Advisor: Rafe Mazzeo

Yin Chan—2010, Moduli Spaces of Pseudo-holomorphic Disks and Floer Theory of Cleanly Intersecting Immersed
Advisor: Eleny Ionel

Vorrapan Chandee—2010, Upper bounds and moments of L-functions
Advisor: Kannan Soundararajan

Dmitriy Ivanov—2010, Part I: Symplectic ice
Part II: Global and local Kubota symbols
Advisor: Daniel Bump

Jennifer Kloke—2010, Methods and Applications of Topological Data Analysis
Advisor: Gunnar Carlsson

Robin Koytcheff—2010, A homotopy-theoretic view of Bott-Taubes integrals and knot spaces
Advisor: Ralph Cohen

Anssi Lahtinen—2010, String topology and twisted K-theory
Advisor: Ralph Cohen

Jason (Chieh-Cheng) Lo—2010, Moduli Spaces of PT-Stable Objects
Advisor: Jun Li

Eric Malm—2010, String Topology and the Based Loop Space
Advisor: Ralph Cohen

Yu-jong Tzeng—2010, A Proof of the Göttsche-Yau-Zaslow Formula
Advisor: Jun Li

Thomas Williams—2010, The Motivic Cohomology of Varieties of Long Exact Sequences
Advisor: Gunnar Carlsson

2009

David Ayala—2009, Geometric Cobordism Categories
Advisor: Ralph Cohen

Zachary Cohn—2009, Nonuniqueness of Constant Scalar Curvature Metrics in a Conformal Class
Advisor: Richard Schoen

Josh Genauer—2009, Cobordism Categories, Corners, and Surgery
Advisor: Ralph Cohen

Lan-Hsuan Huang—2009, Center of Mass and Constant Mean Curvature Foliations for Isolated Systems
Advisor: Richard Schoen

Daniel Mathews—2009, Chord Diagrams, Contact-Topological Quantum Field Theory, and Contact Categories
Advisor: Yakov Eliashberg

Nikolay Penev—2009, The Chow ring of the moduli space of genus 6 curves
Advisor: Ravi Vakil

Joseph Rabinoff—2009, Higher-Level Canonical Subgroups for p-Divisible Groups
Advisor: Ravi Vakil

Eric Schoenfeld—2009, Higher Symplectic Field Theory Invariants for Cotangent Bundles of Surfaces
Advisor:Yakov Eliashberg

Kamil Szczegot—2009, Sharp Approximation of Density Dependent Markov Chains
Advisor: Amir Dembo

Kirsten Wickelgren—2009, Lower Central Series Obstructions to Homotopy Sections of Curves over Number Fields
Advisor: Gunnar Carlsson

Kaiyuan Zhang—2009, Two Problems in quantitative Finance
Advisor: George Papanicolaou

Ziyu Zhang—2009, On Singular Moduli Spaces of Sheaves on K3 Surfaces
Advisor: Jun Li

2008

Jarod Alper—2008, Good moduli spaces for Artin stacks
Advisor: Ravi Vakil

Andres Angel—2008, Cobordism of Orbifolds
Advisor: Ralph Cohen

Theodora Bourni—2008, C1Alpha Theory for the Prescribed Mean Curvature Equation with Dirichlet Data
Advisor: Leon Simon

Michael Eichmair—2008, Non-variational existence problems in general relativity
Advisor: Richard Schoen

David Fernandez Duque—2008, Results in Dynamic Topological Logic
Advisor: Grigori Mints

Isidora Milin—2008, Orderability of Contactomorphism Groups of Lens Spaces
Advisor: Yakov Eliashberg

Pompiliu Zamfir—2008, Spherical Spin Glasses
Advisor: Amir Dembo

2007

Robert Easton—2007, S3-Covers of Schemes
Advisor: Ravi Vakil

Kate Gruher—2007, String Topology of Classifying Spaces
Advisor: Ralph Cohen

Dana Paquin—2007, Multiscale Methods for Image Registration
Advisor: Doron Levy

Chad Lawrence Groft—2007, Isoperimetric Functions on the Universal Covers of Compact Spaces
Advisor: Richard Schoen

Lek-Heng Lim—2007, Foundations of Numerical Multilinear Algebra: Decompositions and Approximations of Tensors
Advisor: Gunnar Carlsson and Gene Golub

Tiago C. Requeijo—2007, Modeling Group Dynamics of Phototaxis
Advisor: Doron Levy

Leobardo Rosales—2007, Minimal Immersions With Prescribed Boundary
Advisor: Leon Simon

Andrew Schultz—2007, Galois Module Structure of Galois Cohomology
Advisor: Ravi Vakil

Henry Segerman—2007, Incompressible Surfaces in Hyperbolic Punctured Torus Bundles are Strongly Detected
Advisor: Steve Kerckhoff

Peter Kim—2007, Mathematical Models of the Activation and Regulation of the Immune System
Advisor: Doron Levy

Kâzim Büyükboduk—2007, Kolyvagin Systems Over an Iwasawa Algebra
Advisor: Karl Rubin

Daniel Ramras—2007, Stable Representation Theory of Infinite Discrete Groups
Advisor: Gunnar Carlsson

Huai-Lian Chang—2007, Donaldson Thomas Invariants of P¹ Scroll
Advisor: Jun Li

Geir Helleloid—2007, Automorphism Groups of Finite p-Groups: Structure and Applications
Advisor: Persi Diaconis

Baosen Wu—2007, A Degeneration Formula of Donaldson-Thomas Invariants
Advisor: Jun Li

Muzaffer Akat—2007, A Unified Credit Risk Model
Advisor: George Papanicolaou

Jian He—2007, Symplectic Field Theory of Subcritical Stein Manifolds
Advisor: Yakov Eliashberg

2006

Hui-Chuan Huang—2006, The Resolvent and Scattering Operator on Near-Product-Hyperbolic Spaces
Advisor: Rafe Mazzeo

Joseph Blitzstein—2006, Building Random Objects Sequentially From Characterization to Algorithm
Advisor: Persi Diaconis

Daniel Ford—2006, Probabilities on Cladograms: Introduction to the Alpha Model
Advisor: Persi Diaconis & Susan Holmes

David Lecomte—2006, Hidden Functional Equations for Rankin-Selberg Integrals Associated to Real Quadratic Fields
Advisor: Daniel Bump

Elizabeth Samantha Meckes—2006, An Infinitesimal Version of Stein's Method of Exchangeable Pairs
Advisor: Persi Diaconis

Suhas Raghava Nayak—2006, Equations of Hamilton-Jacobi Type and Their Applications in Finance
Advisor: George Papanicolaou

Alexander Ivanov Sotirov—2006, Boundary and Interior Convergence for Hard Sphere Mixtures
Advisor: Tai-Ping Liu

Julie Marie Rowlett—2006, Spectral Geometry and Asymptotically Conic Convergence
Advisor: Rafe Mazzeo

Ioannis Sakellaridis—2006, Unramified Representations of P-Adic Groups on Spherical Varieties
Advisor: Daniel Bump

Robert Lipshitz—2006, A Heegaard-Floer Invariant of Bordered Three-Manifolds
Advisor: Yakov Eliashberg

Paul-Olivier Dehaye—2006, Averages over Compact Lie Groups, Twisted by Weyl Characters and Application to Moments of Derivatives of Characteristic Polynomials.
Advisor: Daniel Bump

Michael Todd Malkin—2006, Cryptographic Methods in Multimedia Identification and Authentication
Advisor: Dan Boneh

Yanping Pan—2006, Endogenous Default, Bond Pricing and Term Structure of Credit Spread Under Stochastic Volatility
Advisor: George Papanicolaou

Donald Tanguay—2006, The Mosaic Camera: Synthesizing a Large-Format Camera from Many Smaller Cameras
Advisor: Gene Golub

Pok Man Cheung—2006, Supersymmetric Field Theories and Generalized Cohomology
Advisor: Ralph Cohen

2005

Yichi Gu—2005, Probabilistic Theory for Topological Approximation and Copositive Matrix
Advisor: Gunnar Carlsson

Mariel Trumper—2005, Relaxation of the Curve Shortening Flow on the Plane via the Parabolic Ginzburg-Landau Equation
Advisor: Rafe Mazzeo

José Robredo—2005, Open-Closed String Topology
Advisor: Ralph Cohen

Sanjai Gupta—2005, Renormalized Seesaw Identities on G L(2,A)
Advisor: Daniel Bump

Pedro Albin—2005, The Gauss-Bonnet Theorem and Index Theory on Conformally Compact Manifolds
Advisor: Rafe Mazzeo

André da Silva Neves—2005, Singularities of Lagrangian Mean Curvature Flow
Advisor: Richard Schoen

David Futer—2005, Angled Triangulations of Link Complements
Advisor: Steve Kerckhoff

Tarn Adams—2005, Flat Chains in Banach Spaces
Advisor: Brian White

Dan Lee—2005, Connected Sums of Special Lagrangian Submanifold
Advisor: Rick Schoen

Byoung-du Kim—2005, The PartyConjecture and Algebraic Functional Equations for Elliptic Curves at Primes with Supersingular Reduction
Advisor: Karl Rubin

Danzhu Shi—2005, Capillary Surfaces at a Re-Entrant Corner
Advisor: Robert Finn

2004

Michel Grueneberg—2004, The Yamabe Flow on Three-Manifolds
Advisor: Richard Schoen

Véronique Godin—2004, A Category of Bordered Fat Graphs and the Mapping Class Group of a Bordered Surface
Advisor: Ralph Cohen

Ke Wang—2004, Duration Analysis of Financial Distress
Advisor: Darrell Duffie

Christopher Ryan Vinroot—2004, Twisted Frobenius-Schur Indicators of Symplectic Groups Over a Finite Field
Advisor: Daniel Bump

Tyler Lawson—2004, Derived Representation Theory of Nilpotent Groups
Advisor: Gunnar Carlsson

Olivier Daviaud—2004, Brownian Motion, Cauchy Process and the Gaussian Free Field
Advisor: Amir Dembo

Dimitrios Cheliotis—2004, Diffusion in Random Environment and the Renewal Theorem
Advisor: Amir Dembo

Yu Yan—2004, Some Geometric Problems Involving Conformal Deformation of Metrics
Advisor: Richard Schoen

Jessica Purcell—2004, Cusp Shapes of Hyperbolic Link Complements and Dehn Filling
Advisor: Steve Kerckhoff

David Linnan Li—2004, The Green's Function of the Navier-Stokes Equations for Gas Dynamics in R³
Advisor: Tai-Ping Liu

Eric Edward Katz—2004, A Formalism for Relative Gromov-Witten Invariants
Advisor: Yakov Eliashberg

2003

Alexander Ivrii—2003, Lagrangian Unnottedness of Tori in Certain Symplectic 4-Manifolds
Advisor: Yakov Eliashberg

Jacob Shapiro—2003, Counting BPS States of D-Branes in Calabi-Yau Threefolds
Advisor: Jun Li

Theodore Hwa—2003, Galois Representations Associated to Torsion Points of Elliptic Curves
Advisor: Karl Rubin

Pengzi Miao—2003, On Variational Problems in Geometry and General Relativity
Advisor: Richard Schoen

Scott Sheffield—2003, andom Surfaces: Large Deviations Principles and Gradient Gibbs Measure Classifications
Advisor: Amir Dembo

2002

Kirsten Jan Boyd—2002, Methods for the Approximate Computation of Homogenized Coefficients
Advisor: George Papanicolaou

Neshan Wickramsekera—2002, Rigidity of Tangent Cones and the Singular Set of Minimal Hypersurfaces
Advisor: Leon Simon

Alexander Meadows—2002, A Semilinear Elliptic Equation
Advisor: Leon Simon

Urmi Bhattacharya Holz—2002, Subspace Approximation Methods for Perturbed Quadratic Eigenvalue Problems
Advisor: Gene Golub

Nikos Frantzikinakis—2002, The Structure of Non-Ergodic Strongly Stationary Systems
Advisor: Yitzhak Katznelson

Jay-Calvin Uyemura Reyes—2002, Random Walk, Semi-Direct Products, and Card Shuffling
Advisor: Persi Diaconis

Yevgeniy Kovchegov—2002, Brownian Bridge Percolation and Related Processes
Advisor: Amir Dembo

Maria Joana Mendes Ventura—2002, Homological Algebra for the Representation Green Functor for Abelian Groups
Advisor: Gunnar Carlsson

Joshua Sabloff—2002, Invariants of Legendrian Knots in Circle Bundles
Advisor: Yakov Eliashberg

Weiyang Qiu—2002, Variational Approach in Special Lagrangian Geometry
Advisor: Richard Schoen

Heaseung Kwon—2002, Asymptotic Convergence of Harmonic Map Heat Flow
Advisor: Leon Simon

Benjamin Howard—2002, The Heegner Point Kolyvagin System
Advisor: Karl Rubin

Frédéric Bourgeois—2002, A Morse-Bott Approach to Contact Homology
Advisor: Yakov Eliashberg

2001

João Monteiro dos Santos—2001, Topology of Moduli Spaces of Rank Stable Instantons and Holomorphic Bundles
Advisor: Ralph Cohen

Kirill Michatchev—2001, Invariants of Legendrian and Transversal Links
Advisor: Yakov Eliashberg

Sang Seon Kim—2001, Relative Contact Homology and Contact Non-Squeezing
Advisor: Yakov Eliashberg

Xiaofeng Sun—2001, On the Theory of Harmonic Maps to Trees
Advisor: Richard Schoen

Dana Powell Rowland—2001, Bott-Periodic Phenomena in Holomorphic K-Theory
Advisor: Ralph Cohen

Xiaodong Wang—2001, On the Geometry of Conformally Compact Einstein Manifolds
Advisor: Richard Schoen

Seung-Yeal Ha—2001, L¹ Stability for Systems of Conservation Laws with a Non-Resonant Moving Source
Advisor: Tai-Ping Liu

Peter Cotton—2001, An Analytic Approach to Ornstein-Uhlenbeck Processes with Fluctuating Parameters and Applications in the Modeling of Fixed Income Securities
Advisor: George Papanicolaou

2000

Sha Xin Wei—2000, Differential Geometric Performance and the Technologies of Writing
Advisor: Rafe Mazzeo

Young-Eun Choi—2000, Positively Oriented Ideal Triangulations of Hyperbolic Three-Manifolds
Advisor: Steve Kerckhoff

Davide Castelvecchi—2000, The Foliated Morse Inequalities
Advisor: Yakov Eliashberg

Adrian Butscher—2000, Deformation Theory of Minimal Lagrangian Submanifolds
Advisor: Richard Schoen

Mélanie Bertelson—2000, Foliations Associated to Regular Poisson Structures
Advisor: Yakov Eliashberg

Radoslav Petrov Nickolov—2000, Uniqueness of the Singular Solution to the Capillary Equation
Advisor: Robert Finn

Corvino, Justin —2000, Scalar Curvature Deformation and General Relativity
Advisor: Richard Schoen

Andrew Robert Byde—2000, Edge and Gluing Theorems Associated to the Singular Yamabe Problem
Advisor: Rafe Mazzeo