#### 2014 2013 2012 2011 2010

### 2014

Ian Ball

Advisor: Fuhito Kojima

Future plans: Ph.D. student in Economics at Yale University

Bryan Hooi

Tracing Infectious Diseases using Genetic and Spatial Data [pdf]

Advisor: Susan Holmes

Future plans: Ph.D. student in PhD program in Statistics and Machine Learning at Carnegie Mellon University

Dewey Kemp

Advisor: Rick Schoen

Future plans: Applying to mathematics Ph.D. programs in the fall

John Ryan

Gelfand Pairs, Representation Theory of the Symmetric Group, and the Theory of Spherical Functions [pdf]

Advisor: Daniel Bump

Future plans: Working as a research assistant at the Stanford School of Medicine while applying to medical schools

Akhil Vohra

On the Near-Optimality of The Reverse Deferred Acceptance Algorithm [pdf]

Advisor: Paul Milgrom

Future plans: Working at Merrill Lynch

Lynnelle Ye

Bounding Sums of the Möbius function over arithmetic progressions [pdf]

Advisor: Kannan Soundararajan

Future plans: Ph.D. student in Mathematics at Harvard University

### 2013

Yongwhan Lim

A Markov Chain Case Study: Card Shuffling [pdf]

Advisor: Persi Diaconis

Future plans: Ph.D. student in Operations Research at MIT

Seth Shelley-Abrahamson

Hopf Modules and Representations of Finite Groups of Lie Type [pdf]

Advisor: Daniel Bump

Future plans: Ph.D. student in Mathematics at MIT

Emmanuel Tsukerman

Isoperimetric Inequalities and the Alexandrov Theorem [pdf]

Advisor: Simon Brendle

Joseph Victor

Stable Homotopy Groups of Spheres and The Hopf Invariant One Problem [pdf]

Advisor: Gunnar Carlsson

Future plans: M.S. student in Data Science from ICME at Stanford University

Moor Xu

Advisor: Persi Diaconis

Future plans: Ph.D. student in Mathematics at UC Berkeley

### 2012

Anthony Bosman

Bott Periodicity [pdf]

Advisor: Eleny Ionel

Future plans: Ph.D. student in Mathematics at Rice University

Charlotte Chan

Future plans: Ph.D. student in Mathematics at the University of Michigan

Jong-Min Choi

Soumitra Kulkarni

Pak-Hin Lee

Brauer Obstruction to Descending the Fields of Definition for Representations of Finite Groups

Advisor: Brian Conrad

Future plans: Ph.D. student in Mathematics at Columbia University

Seok Hyeong Lee

Future plans: Ph.D. student in Mathematics at Princeton University

Brian Lewis

Decidable Fragments and Skolemization in Superintuitionistic and Modal Logics [pdf]

Advisor: Grigori Mints

Future plans: Ph.D. student in Mathematics at the University of Wisconsin, Madision

Ted Westling

Future plans: Research Fellow at Stanford Law School, then a Ph.D. student in Mathematics at the University of Washington

Rafi Witten

Future plans: Working for Google in Boston

### 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