PhD Alumni
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Dylan Cant |
A dimension formula for relative symplectic field theory | Postdoc, University of Montreal | |
Yue Hui |
Mean field methods for stochastic control and optimization problems |
George Papanicolaou
Jose Blanchet (Management Science and Engineering), Peter Glynn (Management Science and Engineering)
|
Facebook in NYC |
Naomi Kraushar |
Equivariant algebraic K-theory of profinite Bieberbach group actions | Teaching postdoc, University of Utah Department of Mathematics | |
Vivian Kuperberg |
Sums of singular series and the distribution of primes | NSF Postdoc, Department of Mathematics, Tel Aviv University | |
Hannah Kerner Larson |
Brill--Noether theory over the Hurwitz space | Clay Research Fellow (2022-27); Junior Fellow, Harvard (2022-23); Assistant Professor, UC Berkeley 2023 | |
Panagiotis Lolas |
Eigenvalue Shrinkage Methods in High-Dimensional Estimation |
Lexing Ying
Iain Johnstone (Statistics)
|
Quantitative Researcher at Vatic Investments |
Mark Sellke |
High-Dimensional Problems in Probability, Optimization, and Learning |
Andrea Montanari
Sebastien Bubeck
|
Member, Institute for Advanced Study (2022-2023); Assistant Professor, Harvard Statistics (starting Fall 2023) |
Mackenzie Simper |
Double Coset Markov Chains | Postdoc, Broad Institute | |
Yuval Wigderson |
New constructions in Ramsey theory | Postdoc at Tel Aviv University | |
Kevin Yang |
Universality for some Random Growth Models | NSF postdoc, UC Berkeley; NSF Postdoc & Benjamin Peirce Fellow, Harvard |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Francisco Arana-Herrera |
Effective mapping class group dynamics | Member, Institute for Advanced Study + Brin Postdoctoral Fellow, University of Maryland | |
Calista Bernard |
Twisted homology operations |
Soren Galatius (University of Copenhagen)
|
University of Minnesota, Dunham Jackson Assistant Professor (Department of Mathematics) |
Ipsita Datta |
LAGRANGIAN COBORDISMS BETWEEN ENRICHED KNOT DIAGRAMS | Postdoc Member, Institute for Advanced Study, Princeton | |
Sheela Devadas |
Morphisms and cohomological comparison for Henselian schemes | NSF Mathematical Sciences Postdoctoral Research Fellowship, University of Washington Department of Mathematics | |
Francois-Simon Fauteux-Chapleau |
Invariants of codimension 2 contact submanifolds | ||
Cole Graham |
Long time asymptotics for reaction diffusion and stochastic Burgers equations | Prager Assistant Professor of Applied Mathematics, Brown University | |
Jorge Guijarro Ordonez |
Stochastic control and deep learning approaches to high dimensional statistical arbitrage | ||
Jimmy He |
Probability on groups: Random walks and limit theorems | CLE Moore Instructor, Department of Mathematics, MIT | |
Xiaoyu He |
The probabilistic method in combinatorics | NSF Postdoc, Mathematics Department, Princeton University | |
Joseph Helfer |
Holomorphic curve invariants of open contact manifolds | Assistant Professor, Mathematics, University of Southern California | |
Nick Kuhn |
Gauge Theoretic Invariants in Algebraic Geometry | Max Planck Institute, Guest Researcher | |
Aaron Landesman |
A thesis of minimal degree: two | NSF Postdoctoral Research Fellow at Harvard University | |
Jonathan Love |
Isogeny Graphs, Zero Cycles, and Modular Forms: Computations over Algebraic Curves and Surfaces |
Ravi Vakil
Akshay Venkatesh (IAS), Dan Boneh (Stanford CS Department)
|
CRM-ISM Postdoctoral Fellow at the Centre de recherches mathématiques |
Sarah McConnell |
Degree One Contributions and Open Gromov Witten Invariants | ||
Dat Nguyen |
On hyperbolic cone metrics, PSL 2,R character varieties, and branched coverings | ||
Andrea Ottolini |
Birthday problems and rates of convergence for Gibbs sampling | Postdoctoral Scholar at University of Washington, Seattle | |
Mark Perlman |
Dark Pool Trading: Stochastic Control Meets Adaptive Allocation | Quantitative Researcher at Optiver | |
Arpon Raksit |
The Filtered Circle |
Brian Conrad
Soren Galatius (University of Copenhagen)
|
NSF Postdoctoral Fellow, Department of Mathematics, MIT |
Leila Sloman |
Long-Time Behavior of the International Trade Equation | ||
Ka Yu Tam |
Tamagawa numbers of smooth connected groups | ||
Bogdan Zavyalov |
Mod p Poincare Duality in p adic Analytic Geometry | 1 year postdoc at MPIM, then 3 year postdoc at UM | |
Zhengqing Zhou |
Distributionally Robust Optimization and its Applications in Mathematical Finance, Statistics, and Reinforcement Learning |
George Papanicolaou
Jose Blanchet (Management Science and Engineering), Peter Glynn (Management Science and Engineering)
|
Quantitative Researcher, Susquehanna International Group |
Joey (Yuzhou) Zou |
Microlocal analysis with applications to seismic inverse problems | Postdoc, Department of Mathematics, University of California, Santa Cruz |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Laurent Cote |
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Gurbir Dhillon |
Daniel Bump
Zhiwei Yun (MIT)
|
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Alexander Dunlap |
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Ben (David) Lim |
Ravi Vakil
Alper
|
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Qingyun Sun |
David Donoho (Statistics), Stephen Boyd (Electrical Engineering)
|
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Katerina Velcheva |
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Guanyang Wang |
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Abigail Ward |
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Adva Wolf |
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Evangelie Zachos |
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Scott (Sicong) Zhang |
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Jupiter (Beite) Zhu |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Erik Bates |
Localization and free energy asymptotics in disordered statistical mechanics and random growth models | NSF Postdoctoral Fellow, Department of Mathematics, UC Berkeley | |
Cédric De Groote |
On the orderability up to conjugation of certain open contact manifolds | Postdoctoral researcher, Max Planck Institute for Mathematics in the Sciences | |
Benjamin Fayyazuddin Ljungberg |
Moduli spaces of bundles via motivic probabilities | Member Of Technical Staff at Pickle Robot Co. | |
Tony Feng |
Etale Steenrod Operations and the Artin Tate Pairing |
Akshay Venkatesh (Institute for Advanced Study)
|
CLE Moore Instructor, Department of Mathematics, MIT |
Sarah Peluse |
Bounds for sets with no nontrivial polynomial progressions | NSF Postdoc, Oxford University, then Veblen Instructor at Princeton University and the Institute for Advanced Study | |
Chandrasekhar Raju |
Circle method and the Subconvexity problem | Postdoc, Department of Mathematics, École polytechnique fédérale de Lausanne | |
Jens Reinhold |
On manifold bundles over classifying spaces |
Ralph Cohen
Soren Galatius (University of Copenhagen)
|
Postdoctoral researcher, Department of Mathematics, University of Münster |
Jesse Silliman |
On the Arithmetic of Weight Two Eisenstein Series |
Akshay Venkatesh (Institute for Advanced Study)
|
Research Assistant Professor, Department of Mathematics, Duke University |
Caitlin Stanton |
Chow Groups and Characteristic Numbers on the Space of Complete Quadrics | Software Engineer at Google | |
Weston Ungemach |
Deformations of Generalized Fuchsian Representations | Researcher in Applied Machine Learning at Google | |
Fan Wei |
On Applications of Szemer\'edi's Regularity Lemma | Postdoctoral position at the Institute for Advanced Study |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Daniel Alvarez-Gavela |
The flexibility of caustics | Member, Institute for Advanced Study | |
Benjamin Dozier |
Saddle connections on translation surfaces |
Steven Kerckhoff
Alex Wright (University of Michigan)
|
Postdoc at the Fields Institute, then Postdoc at Stony Brook |
Inbar Klang |
Factorization theory of Thom spectra, twists, and duality | Postdoc at EPFL in Switzerland, then Postdoc at Columbia University | |
Chao Li |
Singularity and comparison theorems for metrics with positive scalar curvature | Postdoctoral position at Princeton University | |
Jesse Madnick |
Nearly Kahler 6 Manifolds of Cohomogeneity Two: Local Theory | Postdoctoral position at McMaster University | |
Zev Rosengarten |
Tate Duality in Positive Dimension and Applications | Postdoctoral Fellow at Hebrew University | |
Michail Savvas |
Generalized Donaldson Thomas Invariants via Kirwan Blowups | Postdoctoral position at University of California San Diego | |
David Sherman |
Schur indices and the p adic Langlands program | Postdoctoral position at the University of Minnesota in Minneapolis | |
Gergely Szucs |
The Equivariant Cobordism Category |
Soren Galatius (University of Copenhagen)
|
Software engineer at Google |
Alex Zhai |
Asymptotics of Gaussian processes and Markov chains | ||
Yang Zhou |
Higher genus wall crossing in Landau Ginzburg theory | Postdoctoral position at the Center of Mathematical Sciences and Applications at Harvard University |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Zarathustra Brady |
Sieves and Iteration Rules | Instructor in Pure Mathematics/NSF Fellow, MIT | |
Daren (Da Rong) Cheng |
Geometric Variational Problems: Regular and Singular Behavior | L. E. Dickson Instructor, University of Chicago | |
Alexandra Florea |
Moments and zeros of L-functions over function fields | NSF Postdoctoral Fellow, University of Bristol | |
Jun Gao |
The front asymptotics for the non-local KPP equation | Market Quantitative Associate, Citigroup | |
François Greer |
Modular Forms in Enumerative Geometry | Research Assistant Professor, Simons Center for Geometry and Physics, Stony Brook University | |
Jafar Jafarov |
Loop Equations and String Dualities in Lattice Gauge Theories | Market Associate, Barclays | |
Brian Lawrence |
Two Results on Period Maps | NSF Postdoctoral Research Fellow, Columbia University | |
Oleg Lazarev |
Flexible Weinstein structures and applications to symplectic and contact topology | NSF Postdoctoral Research Fellow, Columbia University | |
Shotaro Makisumi |
Modular Koszul duality for Soergel bimodules |
Zhiwei Yun
|
Joseph F. Ritt Assistant Professor, Columbia University |
Christos Mantoulidis |
Geometric Variational Problems in Mathematical Physics | C L E Moore Instructor, MIT | |
David Montague |
Covariance Estimation and Graphical Models for Infinite Collections of Random Variables |
Balakanapathy Rajaratnam
|
Member of the Technical Staff, Palantir Technologies |
Donghai Pan |
Pencils of Fermat hypersurfaces and Galois cyclic covers of the projective line | ||
Niccolò Ronchetti |
On the mod p derived Hecke algebra of a p-adic group | Hedrick Assistant Adjunct Professor, UCLA | |
Beniada Shabani |
Propagation in multi-dimensional Fisher-KPP equations | Postdotoral Fellow, EHESS | |
Sverrir Thorvaldsson |
Boundary Fibration Structures and Quasi-Homogeneous Geometries | Chief Risk Officer, Islandsbanki | |
Evan Warner |
Adic Moduli Spaces | Joseph F. Ritt Assistant Professor, Columbia University | |
Graham White |
Combinatorial methods in Markov chain mixing | Zorn Postdoctoral Fellow, Indiana University |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Jeremy Booher |
Geometric Deformations of Orthogonal and Symplectic Galois Representations | Postdoctoral Research Associate, University of Arizona | |
Iurie Boreico |
Statistics of random integral matrices | ||
Valentin Buciumas |
Quantum groups and the Yang-Baxter equation | ||
Peter Diao |
Differential Calculus on Graphon Space and Statistical Applications of Graph Limit Theory | Balakanapathy Rajaratnam | |
Nicholas Edelen |
On the free-boundary mean curvature flow |
Brian White
Simon Brendle
|
|
Daniel Jerison |
The Drift and Minorization Method for Reversible Markov Chains | ||
Sander Kupers |
Some finiteness results for groups of automorphisms of manifolds | ||
Evita Nestoridi |
Rates of convergence of Markov chains to stationarity: strong stationary times, coupling, Gelfand pairs and comparison theory. | ||
Samuel Nolen |
The string topology of holomorphic curves in BU(n). | ||
David (Weiluo) Ren |
Two models on limit order trading | ||
Kyler Siegel |
New constructions and computations in rigid and flexible symplectic geometry and applications to several complex variables | ||
Soarer (Ho Chung) Siu |
Value distribution of Automorphic Forms in a Family | ||
Jacek Skryzalin |
Numeric Invariants from Multidimensional Persistence | ||
Arnav Tripathy |
The symmetric power and etale realization functors commute | ||
Li-cheng Tsai |
Weak Universality of Interacting Particle Systems | ||
Sara Kalisnik Verovsek |
Tropical Coordinates on the Space of Persistence Barcodes | ||
Alexandr Zamorzaev |
Gopakumar-Vafa conjecture for genus 0 real Gromov-Witten invariants |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Saran Ahuja |
Mean field games with common noise | ||
Megan Bernstein |
Random Walks on the Symmetric Group, Likelihood Orders, and Involutions | ||
Otis Chodosh |
The geometry of asymptotically hyperbolic manifolds | ||
Ralph Furmaniak |
On the Structure and Complex Analysis of Dirichlet Series | ||
Elizabeth Goodman |
Lagrangian Tori in R^4 and S^2xS^2 | ||
Christopher Henderson |
Propagation Phenomena in Reaction-Advection-Diffusion Equations | ||
Peter Hintz |
Global analysis of linear and nonlinear wave equations on cosmological spacetimes | ||
Vitaly Katsnelson |
Diffraction of Elastic Waves by Edges | ||
Seung Ki Kim |
On the Shape of a High-Dimensional Random Lattice | ||
Jeremy Leach |
The Vacuum Einstein Constraint Equations on Manifolds with Ends of Cylindrical Type | ||
Daniel Litt |
Non-Abelian Lefschetz Hyperplane Theorems | ||
Sam Nariman |
Stable Moduli of Flat Manifold Bundles | ||
Khoa Lu Nguyen |
On Symplectic Homology of the Complement of a Positive Normal Crossing Divisor in a Projective Variety | ||
John Pardon |
A new construction of virtual fundamental cycles in symplectic geometry | ||
Haizhao Yang |
Oscillatory Data Analysis and Fast Algorithms for Integral Operators |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Ulrik Buchholtz |
Unfolding of Systems of Inductive Definitions | ||
Alessandro Carlotto |
Rigidity and flexibility phenomena in General Relativity | ||
Junsoo Ha |
Some problems in multiplicative number theory | ||
Yuncheng Lin |
On Higher q, t-Catalan Numbers | ||
Cary Malkiewich |
Duality and linear approximations in Hochschild homology, K-theory, and string topology | ||
Daniel Kim Murphy |
Algebraic Modular Forms on Definite Orthogonal Groups | ||
Amy Pang |
Hopf Algebras and Markov Chains | ||
Jenya Sapir |
Non-simple geodesics on surfaces | ||
Fernando (Xuancheng) Shao |
Dichotomy between structure and randomness in combinatorial number theory |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Henry Adams |
Evasion Paths in Mobile Sensor Networks | ||
Rebecca Bellovin |
p-adic Hodge theory in rigid analytic families | ||
Jonathan Campbell |
Some Results on K-Theory, Topological Hochschild Homology, and Parameterized Spectra | ||
Ilya Grigoriev |
Relations Among Characteristic Classes of Manifold Bundles | ||
Nicholas Haber |
Microlocal analysis of Lagrangian submanifolds of radial points | ||
Kenji Kozai |
Singular hyperbolic structures on pseudo-Anosov mapping tori | ||
Brandon Levin |
G-valued flat deformations and local models | ||
Xiaodong Li |
Sparse and Low-rank Structures in Robust Principal Component Analysis, Compressed Sensing with Corruptions, and Phase Retrieval | ||
Michael Lipnowski |
Equivariant Torsion and Base Change | ||
Minyu Peng |
Deviation Inequalities for Eigenvalues of Deformed Random Matrices | ||
Ian Petrow |
Moments of Automorphic L-Functions and Related Problems | ||
Maksym Radziwill |
Zero-distribution and size of the Riemann zeta-function on the critical line. | ||
Nisan Stiennon |
The moduli space of real curves and a Z/2-equivariant Madsen-Weiss theorem | ||
James Zhao |
A Random Walk Through Combinatorial Probability | ||
Xin Zhou |
On the variational methods for minimal submanifolds |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Atoshi Chowdhury |
Compactifying Picard stacks over degenerations of surfaces | ||
Luís Diogo |
Filtered Floer and symplectic homology via Gromov-Witten theory | ||
Sukhada Fadnavis |
Graph Colorings and Graph Limits | ||
Tsz Ho Fong |
New Results on the Singularity Analysis of the Kaehler-Ricci Flow | ||
Kaveh Fouladgar |
Regularity Theory for the Symmetric Minimal Surface Equation | ||
Robert Hough |
Distribution problems in number theory | ||
Yunjiang Jiang |
Mixing time of Markov chains on finite and compact Lie groups | ||
Jonathan Lee |
Stratifications and equivariant cohomology of spaces of upper-triangular square-zero matrices | ||
Jeremy Miller |
The topology of spaces of J-Holomorphic maps to C P^2 | ||
Emmy Murphy |
Loose Legendrian Embeddings in High Dimensional Contact Manifolds | ||
Tracy Nance |
Equivariant Algebraic K-Theory of Products of Motivic Circles | ||
Ha Pham |
A model diffractive boundary value problem on an asymptotically anti-de Sitter space | ||
Simon Rubinstein-Salzedo |
Controlling Ramification in Number Fields | ||
David Sher |
Conic Degeneration and the Determinant of the Laplacian | ||
Mykhaylo Shkolnikov |
Competing particle systems and their applications | ||
Aaron Smith |
Some Analyses of Markov Chains by the Coupling Method |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Olena Bormashenko |
Permutations with Interval Restrictions | ||
Man Chuen Cheng |
A Duality theorem for Deligne-Mumford Stacks with respect to Morava K-theory | ||
Jeffrey Danciger |
Geometric transitions: from hyperbolic to anti de Sitter geometry | ||
Jesse Gell-Redman |
On harmonic maps into conic surfaces | ||
Penka Georgieva |
Orientability of moduli spaces and open Gromov-Witten invariants | ||
Jack Hall |
General Existence Theorems in Moduli Theory | ||
Brian Krummel |
Existence and regularity of branched minimal submanifolds | ||
Man Chun Li |
On a free boundary problem for embedded minimal surfaces and instability theorems for manifolds with positive isotropic curvature | ||
Xiannan Li |
The behaviour of L-functions at the edge of the critical strip and applications | ||
Jason Miller |
Limit Theorems for Ginzburg-Landau Random Surfaces | ||
Dung Nguyen |
Characteristic numbers of genus one space curves | ||
Jose Perea |
Topology of Spaces of Micro-Images, and an Application to Texture Discrimination | ||
Anca Vacarescu |
Filtering and Parameter Estimation for Partially Observed Generalized Hawkes Processes |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
Dean Baskin |
Wave equations on asymptotically de Sitter spaces | ||
Yin Chan |
Moduli Spaces of Pseudo-holomorphic Disks and Floer Theory of Cleanly Intersecting Immersed | ||
Vorrapan Chandee |
Upper bounds and moments of L-functions | ||
Dmitriy Ivanov |
Part I: Symplectic ice Part II: Global and local Kubota symbols | ||
Jennifer Kloke |
Methods and Applications of Topological Data Analysis | ||
Robin Koytcheff |
A homotopy-theoretic view of Bott-Taubes integrals and knot spaces | ||
Anssi Lahtinen |
String topology and twisted K-theory | ||
Jason (Chieh-Cheng) Lo |
Moduli Spaces of PT-Stable Objects | ||
Eric Malm |
String Topology and the Based Loop Space | ||
Yu-jong Tzeng |
A Proof of the Göttsche-Yau-Zaslow Formula | ||
Thomas Williams |
The Motivic Cohomology of Varieties of Long Exact Sequences |
| Name | Dissertation Title | Faculty Advisor | First Position After Graduating |
|---|---|---|---|
David Ayala |
Geometric Cobordism Categories | ||
Zachary Cohn |
Nonuniqueness of Constant Scalar Curvature Metrics in a Conformal Class | ||
Josh Genauer |
Cobordism Categories, Corners, and Surgery | ||
Lan-Hsuan Huang |
Center of Mass and Constant Mean Curvature Foliations for Isolated Systems | ||
Daniel Mathews |
Chord Diagrams, Contact-Topological Quantum Field Theory, and Contact Categories | ||
Nikolay Penev |
The Chow ring of the moduli space of genus 6 curves | ||
Joseph Rabinoff |
Higher-Level Canonical Subgroups for p-Divisible Groups | ||
Eric Schoenfeld |
Higher Symplectic Field Theory Invariants for Cotangent Bundles of Surfaces | ||
Kamil Szczegot |
Sharp Approximation of Density Dependent Markov Chains | ||
Kirsten Wickelgren |
Lower Central Series Obstructions to Homotopy Sections of Curves over Number Fields | ||
Ziyu Zhang |
On Singular Moduli Spaces of Sheaves on K3 Surfaces | ||
Kaiyuan Zhang |
Two Problems in quantitative Finance |