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2011
Jonah Brown-Cohen
A Topological Method for Three-Dimensional Symmetry Detection in Images [pdf]
Advisor: Gunnar Carlsson
Marcello Herreshoff
Provability as a Modal Operator with the models of PA as the Worlds [pdf]
Advisor: Grigori Mints
Justin Hsu
The Partition Function And Modular Forms [pdf]
Advisor: Kannan Soundararajan
Christos Mantoulidis
Regularity of hypersurfaces in Rn+1 moving by mean curvature flow [pdf]
Advisor: Leon Simon
Connor Mooney
An Introduction to Curve-Shortening and the Ricci Flow [pdf]
Advisor: Simon Brendle
Pranav Nanda
Assessing a 2-System Model of Quasi-Hyperbolic Temporal Discounting [pdf]
Advisor: Gunnar Carlsson
Elina Robeva
An Extensive Survey of Graceful Trees [pdf]
Advisor: Persi Diaconis
Nathaniel Shar
Transforming Inductive Proofs to Bijective Proofs [pdf]
Advisor: Persi Diaconis
Peter Smillie
An Introduction to the Positive Mass Theorem
Advisor: Richard Schoen
Benjamin Stetler
The Ricci Flow On Surfaces And The Uniformization Theorem [pdf]
Advisor: Richard Schoen
Stefan Wager
Clumpy Riffle Shuffles [pdf]
Advisor: Persi Diaconis
2010
Otis Chodosh
Infinite Matrix Representations of Classes of Pseudo-Differential Operators [pdf]
Advisor: Andras Vasy
Jackson Gorham
A Computational Topology Approach to Hard Spheres In a Box [pdf]
Advisor: Matthew Kahle
Akihiko Nishimura
Classification of Two-dimensional Manifolds Using Morse Theory [pdf]
Advisor: Eleny Ionel
Edward Schmerling
An Improved Bound for Characterizing Integer-Valued Factorial Ratio Sequences [pdf]
Advisor: Kannan Soundararajan
Dinah Shender
Strong Stationary Times for Non-Uniform Markov Chains [pdf]
Advisor: Persi Diaconis
Yakov Shlapentokh-Rothman
An Asymptotic Faber-Krahn Inequality for the Combinatorial Laplacian on  ² [pdf]
Advisor: Rafe Mazzeo
Justin Solomon
Discrete Killing Fields for Pattern Synthesis and Symmetry Detection [pdf]
Advisor: Richard Schoen
Philip Vuong
Algebraic Completeness of Open([0,1])/Null [pdf]
Advisor: Grigori Mints
Andrew Yarmola
Persistence and Computation of the Cup Product [pdf]
Advisor: Mikael Vejdemo-Johansson
2008
Serin Hong
The Propagation of Singularities for the Wave Equation on Manifolds with Boundary [pdf]
Advisor: Andras Vasy
Rafe H. Kinsey
Topology and Social Choice Theory [pdf]
Advisor: Soren Galatius
Eric Marberg
Constructing Modules of Algebra Groups [pdf]
Advisor: Persi Diaconis
Meng-Hsuan Wu
Kubota Symbol [pdf]
Advisor: Daniel Bump
Yong Suk Moon
Universal Quadratic Forms and the 15-Theorem and 290-Theorem [pdf]
Advisor: Daniel Bump
OMKAR MURALIDHARAN
FALSE DISCOVERY RATE AND EMPIRICAL NULL METHODS [pdf]
Advisor: Brad Efron and Leon Simon
Vladimir Stoyanov Tenev
An Algorithmic Approach to Plateau's Problem [pdf]
Advisor: Lawrence Guth
2005
Rajat Bhatnager
Equilibrium Configurations of an Infinite Cylinder in an Unbounded Fluid [pdf]
Advisor: Robert Finn
Future plans: graduate student in EE and CS, Stanford
Garving Kevin Luli
Radial Solutions to a Capillary Problem for Compressible Fluids [pdf]
Advisor: Robert Finn
2004
Alex Chen
Hearing the Shape of a Drum [pdf]
Advisor: Richard Schoen
Christopher Davis
Ranks of Quadratic Twists of Elliptic Curves with No Isogenies [pdf]
Advisor: Karl Rubin
Future plans: As of March, 2006, is a second-year grad student at MIT
Alexander Kendall
Creating a Transparent and Convex Objective Function for Intensity-Modulated Therapy [pdf]
Advisor: Doron Levy
Paul Valiant
General Relativity—Honors Thesis [pdf]
Advisor: Richard Schoen
2003
Patrick Perry
Application of Simplicial Sets to Computational Topology [pdf]
Advisor: Gunnar Carlsson
2002
Jonathan Claridge
Spectral Graph Theory: Generic Properties and Connected Sums [pdf]
Advisor: Rafe Mazzeo
Darren Lee
On a Singular Behavior of Capillary Surfaces [pdf]
Advisor: Robert Finn
2001
Janet Chen
The Tate-Shafarevich Group in Families of Elliptic Curves [pdf]
Advisor: Karl Rubin
1999
Robert Neel
C-Singular Solutions of the Capillary Equation [pdf]
Advisor: Robert Finn
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