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Alumni

Year

Name

Advisor

Thesis Title

First Position

2022 Michael Geis Zelditch Concentration of quantum integrable eigenfunctions on convex surfaces of revolution TBA
2022 Pax Kivimae Auffinger Random matrices, Gaussian multiplicative chaos, and complexity NYU (NSF Postdoc)
2022  Viktor Burghardt Goerss Stable cooperations of Motivic Witt cohomology University of Michigan
2022  Xi (Cathy) Chen Auffinger Thouless-Anderson-Palmer equations for the Ghatak-Sherrington mean field spin glass model TBA
2022 Fanjun Meng Zaslow Birational geometry of log pairs John Hopkins University
2022 Abraham Rabinowitz Zelditch Scaling asymptotics of Szego kernels and concentration of Husimi distributions on Grauert tubes TBA
2022 Mengxuan Yang Wunsch Diffraction and scattering theory of the Aharonov-Bohm Hamiltonian University of California, Berkeley
2021 Aydin Yousfzadehfard Francis Grothendieck-Lefschetz theory for algebraic K-theory Google
2021 Signe Emalia Jensen DeMarco Geometric Limits of Julia Sets for Unicritical Polynomials Under Degree Growth TBA
2021 Nilay Kumar Getzler The Batalin-Vilkovisky Laplacian from Homological Perturbation Theory TBA
2021 Rachel McEnroe Burns Some Examples of Unique Measures of Maximal Entropy and Equilibrium States TBA
2021 Junxiao Wang Zaslow The Gamma Conjecture for Local Mirror Symmetry: A Tropical Approach Via the Gross-Siebert Program Beijing International Center for Mathematical Research
2021 Yajit Jain Francis Fiberwise Poincare-Hopf Theory and Exotic Smooth Structures on Manifold Bundles Brown University (NSF Postdoc)
2021 Xi Sisi Shen Weinkove Hermitian Metrics of Constant Chern Scalar Curvature and a Chern-Calabi Flow Columbia University
2021 Pyongwon Suh Zaslow The Coherent-Constructible Correspondence for Toric Projective Bundles Chinese University of Hong Kong
2021 Mingyi Zhang Popa Hodge Ideals of Three Types of Isolated Hypersurface Singularies  Non-Academia
2021 Anh Ngoc Le Kra Nilsequences and Multiple Correlations Along Subsequences Ohio State University
2020 Khashayar Filom DeMarco Entropy Behavior of Real Rational Maps University of Michigan
2020 Kitty Yang Kra Algebraic Invariants of Symbolic Systems University of Memphis
2020 Nick McCleerey Tosatti Singularities of Plurisubharmonic Functions and Kahler Geometry University of Michigan
2020 Peter (Perry) Kleinhenz Wunsch Decay Rates for the Damped Wave Equation on the Torus Stanford University
2020 Sebastián Olano Popa Some Applications of Perverse Sheaves and Hodge Theory to Birational Geometry University of Michigan
2020 Shuyi Weng DeMarco Harmonic Caps and Planar Conformal Geometry Northwestern University
2020  Yu (Sid) Wang Naber Global Coulomb Gauge in Dimension 4 Apple
2020 Yuxiang Wang Liu Theta Functions and Hermitian Jacobi Forms Over Imaginary Quadratic Fields Education (China)
2019 Guchuan Li Goerss Picard Groups  of K(n)-local Categories

University of Copenhagen, University of Michicagn

2019 Heng Guo Hsu Strong Interpolation between Brownian Motion and the Geodesic Flow Google
2019 Hsiang (Robert) Chang Zelditch Random and Small-Scale Quantum Ergodocity Northeastern University
2019 Sean Pohorence Getzler The Brink-Schwarz Superparticle in the Batalin-Vilkovisky Formalism Finance (Radix Trading)
2019 Yajnaseni  Dutta Popa Some Effective Problems in Algebraic Geometry and Their Applications Universitat Bonn
2019 Maksym Chornyi Juschenko Non-elementary Amenable Groups: Kaplansky's Conjecture Finance (Kanerai NYC)
2019 Sungyoon   Cho Liu
The Basic Locus of the Unitary Shimura Variety with Parahoric Level Structure and Special Cycles University of Arizona
2019 Piotr Pstragowski  Goerss Algebraicity in Chromatic Homotopy Theory Harvard University
2018 Lauren Bandklayder Francis Spaces of Configurations and Applications of Factorization Homology Max Planck Institute, Bonn
2018 Gregory Jackson Edwards Weinkove/Tosatti The Conical Kahler-Ricci Flow and the Analytic Log Minimal Model Program University of Notre Dame
2018 Elden Elmanto Francis Motivic Contractibility of the Space of Rational Maps Harvard University
2018 Xavier Eduardo Garcia Hsu Asymptotics for the Number of Critical Points for Two Analytical Models Finance
2018 Aron Alexandre Heleodoro Tamarkin On the Geometry of Higher Tate Spaces University of Illinois, Urbana-Champain
2018 Johan Wiebe Thijm Konter Goerss The Goodwillie Tower of Infinite Loops as Derived Functors Stockholm University
2018 Nicole Romain Looper DeMarco Uniformity in Polynomial Dynamics: Canonical Heights, Primitive Prime Divisors, and Galois Representations University of Cambridge (NSF Postdoc)
2018 Andrew Kintner Reiser Avni Pushforwards of Measures on Real Varieties Under Maps with Rational Singularities
2018 Nan Shi Avni Almost Gelfand Property of Symmetric Pairs University of California Santa Barbara
2018 Paul Behrents Vankoughnett Goerss Localizations of E-Theory and Transchromatic Phenomena in Stable Homotopy Theory Purdue University
2018 Brian R Williams Francis The Holomorphic Sigma-model and its Symmetries Northeastern University
2017 Honghao Gao Zaslow Augmentations and Sheaves for Knot Conomals Institute Fourier, Grénoble
2017 Weiping Spencer Liang Goerss The Brown-Peterson Homology of the Connected Cover of the J-spectrum Purdue University
2017 Joel Benjamin Specter Calegari Unramifiedness and Crystallinity Johns Hopkins
2017 Ann Rebecca Wei Tsygan What Do Algebras Form Allstate
2017 Dylan Lee Wilson Goerss Equivariant, Parameterized, and Chromatic Homotopy Theory University of Chicago
2017 Philsang Yoo Zaslow Langlands Duality and Quantum Field Theory Yale University
2017 Peng Zhou Zaslow From Lagrangian Thimbles to Construcible Sheaves IHES
2016 Michael John Couch Getzler A Study of the Equivariant Gromov-Witten Theory of the Projective Line and Eynard-Orantin Recursion Data Analysis Consultant, Australia
2016 Eric Dolores Cuenca Tamarkin DG - Swiss Cheese Conjecture
2016 Philip Egger Goerss Some computations in $v_2$-periodic homotopy theory at the prime 2 Pennsylvania State University
2016 Christopher Elliot Costello/Nadler Gauge Theoretics Aspects of the Geometric Langlands Correspondence IHES
2016 Zili Huang Calegari Perron Numbers and Their Distribution CGG
2016 Ben Knudsen Francis Higher enveloping algebras and configuration spaces of manifolds Harvard
2016 Robert Grant
2016 Matthew Mahowald Zaslow Knots and Gamma Classes in Open Topologcial String Theory Open Data Group
2016 Richard Moy Calegari Non-CM Hilbert Modular Forms of Partial Weight One Willamette University
2016 Wenbo Sun Kra Structure theorems in dynamics and their applications The Ohio State University
2016 Vlad Ioan Serban
2015 Sheng-Fu Chiu Tamarkin Non-squeezing property of contact balls Northwestern University
2015 Yanxia Deng Xia Conley-Zehnder Index and Some Applications Queen's University
2015 Ziyue Guo Calegari Abelian Graphs Marlboro College
2015 Rohan Kadakia Wunsch Semiclassical Second Microlocal Propagation of Coisotropic Regularity University of Michigan
2015 Clemens Koppensteiner Nadler Some microlocal aspects of perverse coherent sheaves and equivalent D-modules University of British Columbia
2015 Joshua Wellington Shadlen Costello Toward Cyclic Langlands Perimeter Institute
2015 Zhenan Wang Hsu Global and local properties of solutions of stochastic partial differential equations University of Washington

2014

Irina Bobkova

Goerss

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

University of Rochester

2014 Boris Hanin Zelditch Correlations and Pairing Between Zeros and Critical Points of Random Polynomials MIT
2014

Marc Hoyois

Goerss

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

MIT

2014

Takuo Matsuoka

Costello

Descent and the Koszul duality for locally constant factorisation algebras

Japan

2014 Eric Potash Zelditch Euclidean Embeddings and Riemannian Bergman Metrics University of Chicago
2014 Jesse Wolfson Getzler Descent for n-Bundles, Tate Objects in Exact Categories, the Index Map and Reciprocity Laws University of Chicago
2014 Lei Wu
2014 Zhenghe Zhang Wilkinson Positivity and continuity of Lyapunov exponents for one-frequency, smooth quasi-periodic Schroedinger operators Rice

2013

Agnes Beaudry

Paul Goerss

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

University of Chicago

2013

Chitrabhanu Chaudhuri

Ezra Getzler

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

MPI Bonn

2013

Sam Gunningham

David Nadler

Categorified Harmonic Analysis on Complex Reductive Groups

University of Texas, Austin

2013

Vladimir Kotov

Kevin Costello

The Atiyah-Bott theorem for algebraic surfaces

Finance

2013

Ian Le

David Nadler

Higher Laminations and Affine Buildings

University of Chicago

2013

Kiran Parkhe

John Franks

Actions of the Heisenberg Group on Surfaces

Technion -- Israel Institute of Technology

2013

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

2012

Glenn Austin Ford

Wunsch

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

Stanford University (NSF Postdoc)

2012

Owen Gwilliam

Costello

Factorization algebras and free field theories

UC Berkeley (NSF Postdoc)

2012

Vaibhav Kukreja

Chen

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

Oxford University

2012

Rob Nendorf

Goerss

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

Inspired Learning Center

2012

Oleg Podkopaev

Suslin

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

Universitaet Duisburg-Essen

2012

Nicolo Sibilla

Zaslow

Mirror symmetry in dimension one

Max Planck (Bonn)

2012

Michael Skirvin

Nadler

A global analogue of the Springer resolution for SL_2

UC San Diego

2012

Maria Stadnik

Calegari

Ray class fields of conductor p

Birmingham-Southern College

2012

Theodore Stadnik

Nadler

Constructions using differential operators in positive characteristic

UC Berkeley/MSRI

2012

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

2011

Qian Ding

Chen

Stochastic conservation laws

Finance

2011

Evgeny Shinder

Suslin

On motives of algebraic groups associated to division algebras

Max Planck (Bonn)

2011

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

2010

Bohan Fang

Zalsow

Mirror Symmetry, Constructible Sheaves, and Toric Varieties

Columbia University

2010

Yongxia Hua

Xia

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

China

2010

Shihan Ma

Hsu

Asymptotics of implied volatility in local volatility model near expiry

China

2010

Amanda Potts

Kra

Multiple ergodic averages for flows and an application

National Security Agency

2010

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

2009

Cheng Ouyang

Hsu

Asymptotics of Implied Volatility in Local Volatility Models

Purdue University

2009

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

2008

Scott M. Bailey

Goerss

Topological splittings of spectra related to tmf

University of Rochester

2008

Chenghao Chu

Friedlander

Representing cohomology theories in the triangulated category of motives

Johns Hopkins University

2008

Alexander Getmanenko

Tsygan

Resurgent analysis of the Witten Laplacian in one dimension

Max Planck (Bonn)

2008

Christopher Novak

Franks

Group actions via interval exchange transformations

University of Michigan, Dearborn

2008

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

2007

Dennis Borisov

Manin

Homotopy Gerstenhaber structure on deformation complex of a morphism

Yale University

2007

Vivek Dhand

Vilonen

Geometric Langlands duality and forms of reductive groups

Michigan State University

2007

Michael Johnson

Kra

Results on polynomial ergodic averages

Temple University

2007

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

2006

Jeremiah Heller

Friedlander

Semi-topological Cobordism for Complex Varieties

University of Western Ontario

2006

Valentina Joukhovitski

Goerss

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

University of Michigan

2006

Anne McCarthy

Wilkinson

Rigidity of solvable group actions

Temple University

2006

Paul Pearson

Goerss

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

University of Rochester

2006

Matthew Salomone

Xia

Quasi-periodic continuation along a continuous symmetry

University of Arizona

2006

Drew Youngren

Wunsch

Microlocal analysis of the anharmonic oscillator with large potential at infinity

New York City High Schools (Math for America Fellowship)

2006

Hua Zhang

Xia

Symplectic partially hyperbolic diffeomorphisms

Michigan State University

2005

Jun Chen

Chen

Transonic shocks and gas dynamics

University of Wisconsin

2005

Xuezhi Andrew Cheng

Getzler

Transferring homotopy commutative algebraic structure

University of Science and Technology of China

2005

Lisa Clay

Emerton

Some conjectures about the slopes of modular forms

Institute for Advanced Study

2005

Young-Heon Kim

Getzler

Holomorphic extensions of laplacians and their determinants

University of Toronto

2005

Radu Saghin

Xia

Generic properties of Lagrangian systems and conservative diffeomorphisms

University of Toronto

2005

Zaiyong Alex Yang

Xia

Laminations and connecting orbits on lattice

Finance in Hong Kong

2005

Dianwen Zhu

Chen

Euler equations and steady supersonic flows

University of Maryland