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  NonCM Hilbert Modular Forms of Partial Weight One  Willamette University  
Wenbo Sun  Kra  Structure theorems in dynamics and their applications  The Ohio State University  
2015  ShengFu Chiu  Tamarkin  Nonsqueezing property of contact balls  Northwestern University 
J. 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 Dmodules  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 
ConleyZehnder 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 GrothendieckLefschetzVerdier 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 onefrequency, smooth quasiperiodic Schroedinger operators  Rice  
Jesse Wolfson  Getzler  Descent for nBundles, 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 AtiyahBott 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 Etheory of height 2 and characteristic 3 
Inspired Learning Center 

Oleg Podkopaev 
Suslin 
Comparison of Grayson's and FriedlanderSuslin's spectral sequences 
Universitaet DuisburgEssen 

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 
BirminghamSouthern 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 timeone 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 twotori 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 
Abranes 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 
Semitopological Ktheory of certain projective varieties 
University of Southern California 

2006 
Andrea Carter 
Emerton 
The Brauer groups of Del Pezzo surface 
Roosevelt University 
Jeremiah Heller 
Friedlander 
Semitopological Cobordism for Complex Varieties 
University of Western Ontario 

Valentina Joukhovitski 
Goerss 
Topological modular forms and p^{n}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 
Quasiperiodic 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 

YoungHeon 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 