Alumni

Year

Name

Advisor

Thesis Title

First Position

2016 Eric Dolores Cuenca Tamarkin DG - Swiss Cheese Conjecture
Philip Egger Goerss Some computations in $v_2$-periodic homotopy theory at the prime 2 Pennsylvania State University
Christopher Elliot Costello/Nadler Gauge Theoretics Aspects of the Geometric Langlands Correspondence IHES
Zili Huang Calegari Perron Numbers and Their Distribution CGG
Ben Knudsen Francis Higher enveloping algebras and configuration spaces of manifolds Harvard
Matthew Mahowald Zaslow Knots and Gamma Classes in Open Topologcial String Theory Open Data Group
Richard Moy Calegari Non-CM Hilbert Modular Forms of Partial Weight One Willamette University
Wenbo Sun Kra Structure theorems in dynamics and their applications The Ohio State University
2015 Sheng-Fu Chiu Tamarkin Non-squeezing property of contact balls Northwestern University
Joshua Shadlen Costello Toward Cyclic Langlands Perimeter Institute
Zhenan Wang Hsu Global and local properties of solutions of stochastic partial differential equations University of Washington
Clemens Koppensteiner Nadler Some microlocal aspects of perverse coherent sheaves and equivalent D-modules University of British Columbia
Rohan Kadakia Wunsch Semiclassical Second Microlocal Propagation of Coisotropic Regularity University of Michigan
Ziyue Guo Calegari Abelian Graphs Marlboro College

Yanxia Deng

Xia

Conley-Zehnder Index and Some Applications

Queen's University

2014

Irina Bobkova

Goerss

Resolutions in the K(2)-local Category at the Prime 2

University of Rochester

Marc Hoyois

Goerss

A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula

MIT

Takuo Matsuoka

Costello

Descent and the Koszul duality for locally constant factorisation algebras

Japan

Eric Potash Zelditch Euclidean Embeddings and Riemannian Bergman Metrics University of Chicago
Zhenghe Zhang Wilkinson Positivity and continuity of Lyapunov exponents for one-frequency, smooth quasi-periodic Schroedinger operators Rice
Jesse Wolfson Getzler Descent for n-Bundles, Tate Objects in Exact Categories, the Index Map and Reciprocity Laws University of Chicago
Boris Hanin Zelditch Correlations and Pairing Between Zeros and Critical Points of Random Polynomials MIT

2013

Agnes Beaudry

Paul Goerss

The Duality Resolution Spectral Sequence for the Moore Spectrum at the Prime 2

University of Chicago

Chitrabhanu Chaudhuri

Ezra Getzler

Topological Bounds on Certain Open Subvarieties of the Compactified Moduli Space of Curves

MPI Bonn

Sam Gunningham

David Nadler

Categorified Harmonic Analysis on Complex Reductive Groups

University of Texas, Austin

Vladimir Kotov

Kevin Costello

The Atiyah-Bott theorem for algebraic surfaces

Finance

Ian Le

David Nadler

Higher Laminations and Affine Buildings

University of Chicago

Kiran Parkhe

John Franks

Actions of the Heisenberg Group on Surfaces

Technion -- Israel Institute of Technology

Hiro Lee Tanaka

Kevin Costello

A Functor from Lagrangian Cobordisms to the Fukaya Category

Harvard University

2012

Renjie Feng

Zelditch

Zeros and critical points of random fields

McGill University

Glenn Austin Ford

Wunsch

The structural and dispersive properties of classical and quantum waves on Euclidean cones

Stanford University (NSF Postdoc)

Owen Gwilliam

Costello

Factorization algebras and free field theories

UC Berkeley (NSF Postdoc)

Vaibhav Kukreja

Chen

Existence and stability of vortex sheets and entropy waves for the Euler equations for steady compressible flows

Oxford University

Rob Nendorf

Goerss

Power operations for Morava E-theory of height 2 and characteristic 3

Inspired Learning Center

Oleg Podkopaev

Suslin

Comparison of Grayson's and Friedlander-Suslin's spectral sequences

Universitaet Duisburg-Essen

Nicolo Sibilla

Zaslow

Mirror symmetry in dimension one

Max Planck (Bonn)

Michael Skirvin

Nadler

A global analogue of the Springer resolution for SL_2

UC San Diego

Maria Stadnik

Calegari

Ray class fields of conductor p

Birmingham-Southern College

Theodore Stadnik

Nadler

Constructions using differential operators in positive characteristic

UC Berkeley/MSRI

Daniel Visscher

Wilkinson

Franks' lemma in geometric contexts

University of Michigan

2011

Chuangxun Cheng

Emerton

Multiplicities of Galois representations in cohomology groups of Shimura curves

Korea

Qian Ding

Chen

Stochastic conservation laws

Finance

Evgeny Shinder

Suslin

On motives of algebraic groups associated to division algebras

Max Planck (Bonn)

Vesna Stojanoska

Goerss

Duality for Topological Modular Forms

Massachusetts Institute of Technology

2010

Thomas Dunlap

Nadler

Combinatorial representation theory of affine SL2 via polytope calculus

Hebrew University

Bohan Fang

Zalsow

Mirror Symmetry, Constructible Sheaves, and Toric Varieties

Columbia University

Yongxia Hua

Xia

Continuity of topological entropy of time-one maps of Anasov diffeomorphisms

China

Shihan Ma

Hsu

Asymptotics of implied volatility in local volatility model near expiry

China

Amanda Potts

Kra

Multiple ergodic averages for flows and an application

National Security Agency

Justin Thomas

Costello

Kontsevich's Swiss cheese conjecture

University of Notre Dame

2009

Kal Nanes

Wilkinson

On the Ergodicity of Partially Hyperbolic Group Actions

University of Maryland Baltimore County

Cheng Ouyang

Hsu

Asymptotics of Implied Volatility in Local Volatility Models

Purdue University

Randy Qian

Wunsch

Diffractive Theorems for the Wave Equation with Inverse Square Potential

Purdue University

2008

Clark Alexander

Tsygan

Index theorems on noncommutative two-tori and Hochschild cohomology of quantum special linear groups

Temple University

Scott M. Bailey

Goerss

Topological splittings of spectra related to tmf

University of Rochester

Chenghao Chu

Friedlander

Representing cohomology theories in the triangulated category of motives

Johns Hopkins University

Alexander Getmanenko

Tsygan

Resurgent analysis of the Witten Laplacian in one dimension

Max Planck (Bonn)

Christopher Novak

Franks

Group actions via interval exchange transformations

University of Michigan, Dearborn

Fang Wang

Xia

Minimal measures for Lagrangian systems

Capital Normal University (Beijing)

2007

Marco Aldi

Eric Zaslow

A-branes and mirror symmetry

University of California

Dennis Borisov

Manin

Homotopy Gerstenhaber structure on deformation complex of a morphism

Yale University

Vivek Dhand

Vilonen

Geometric Langlands duality and forms of reductive groups

Michigan State University

Michael Johnson

Kra

Results on polynomial ergodic averages

Temple University

Mircea Voineagu

Friedlander

Semi-topological K-theory of certain projective varieties

University of Southern California

2006

Andrea Carter

Emerton

The Brauer groups of Del Pezzo surface

Roosevelt University

Jeremiah Heller

Friedlander

Semi-topological Cobordism for Complex Varieties

University of Western Ontario

Valentina Joukhovitski

Goerss

Topological modular forms and pn-level structures at the prime p

University of Michigan

Anne McCarthy

Wilkinson

Rigidity of solvable group actions

Temple University

Paul Pearson

Goerss

The mod 2 homology of the connective spectrum of topological modular forms

University of Rochester

Matthew Salomone

Xia

Quasi-periodic continuation along a continuous symmetry

University of Arizona

Drew Youngren

Wunsch

Microlocal analysis of the anharmonic oscillator with large potential at infinity

New York City High Schools (Math for America Fellowship)

Hua Zhang

Xia

Symplectic partially hyperbolic diffeomorphisms

Michigan State University

2005

Jun Chen

Chen

Transonic shocks and gas dynamics

University of Wisconsin

Xuezhi Andrew Cheng

Getzler

Transferring homotopy commutative algebraic structure

University of Science and Technology of China

Lisa Clay

Emerton

Some conjectures about the slopes of modular forms

Institute for Advanced Study

Young-Heon Kim

Getzler

Holomorphic extensions of laplacians and their determinants

University of Toronto

Radu Saghin

Xia

Generic properties of Lagrangian systems and conservative diffeomorphisms

University of Toronto

Zaiyong Alex Yang

Xia

Laminations and connecting orbits on lattice

Finance in Hong Kong

Dianwen Zhu

Chen

Euler equations and steady supersonic flows

University of Maryland