Alumni
Year |
Name |
Advisor |
Thesis Title |
First Position |
---|---|---|---|---|
2023 | Christian Gorski | Auffinger | Large-scale Geometry of First Passage Percolation on Graphs of Polynomial Growth | Technion – Israel Institute of Technology |
2023 | Yaroslav Khromenkov | Tamarkin | Generation in Geometric Derived Categories | Tanius Technology, LLC |
2023 | Catherine Ray | Goerss | Geometrically Modelling the Lubin-Tate action | University of Münster |
2023 | Micah Darrell | Antieau | Topological Restriction Homology is Locally Even in Characteristic p | TBA |
2023 | Daniel Fletcher | Auffinger | Equilibrium Measures for t-Distributed Stochastic Neighbor Embedding | Susquehanna International Group, LLP |
2023 | Grigory Kondyrev | Francis | Modules over enriched (infinity,n)-categories | TBA |
2023 | Wenyuan Li | Murphy | Some functoriality results of microlocal sheaves over Legendrians and Lagrangians | University of Southern California |
2023 | Anthony McCormick | Naber | Spectral Theory and Index Theorems for Stationary Spacetimes | TBA |
2023 | Grigory Papayanov | Tsygan | Two Applications of the Homotopy Transfer Theorem for Infinity-Algebras | Haifa University |
2023 | John Snadden | Zaslow | Sheaves, Weaves and Canoes (Enumerative Invariants for a Class of Legendrian Surfaces) | Mathnasium |
2023 | Ruoyu Wang | Wunsch | Microlocal analysis of damped waves on noncompact manifolds | University College London |
2023 | Yuxin Zhou | Auffinger | The Spherical Spin Glass Models at Low and Zero Temperature | University of Chicago |
2022 | Wanxing Liu | Weinkove | Constant scalar curvature Kähler metrics on smooth minimal models | Amazon |
2022 | Michael Geis | Zelditch | Concentration of quantum integrable eigenfunctions on convex surfaces of revolution | RedMane Technology LLC |
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 | State Farm |
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 | |
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 | |
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 |