Stanford University

PhD Alumni

Graduation Year:
Name Dissertation Title Faculty Advisor First Position After Graduating

Sanchit Chaturvedi

Global properties of kinetic plasmas Simons Junior Fellow, Courant institute

Daren Chen

Some variations of Khovanov homology for null homologous links in RP^3 Olga Taussky & John Todd Teaching Fellowship, Division of Physics, Mathematics and Astronomy, Caltech

Sean Cotner

Centralizers in reductive group schemes Postdoctoral Assistant Professor, University of Michigan

Simona Diaconu

Large Powers of Random Matrices Courant instructor Department of Mathematics, NYU

Panagiotis Dimakis

A study on the Extended Bogomolny equations Postdoc, Université du Québec à Montréal

Daniel Dore

Reciprocity Laws and Identity Based Encryption
Brian Conrad Unofficial co-advisor: Dan Boneh (CS)
Cryptographer, MobileCoin

Paul Falcone

A Plurisubharmonic Analogue to Igusa s Theorem Quantitative Analytics Specialist, Wells Fargo

Felipe Hernandez

A New Approach to the Diffusive Limit of the Random Schrodinger Equation NSF Postdoc, Mathematics, MIT

Zachary Izzo

Theory and Algorithms for Data Centric Machine Learning
Lexing Ying James Zou (Bio-X/EE/CS)
Researcher, Machine Learning, NEC Labs North America

Boon Hou Derek Khu

Ihara's lemma and multiplicity one Research Scientist, Institute for Infocomm Research, Singapore

Yang Liu

Sparsification, Online Optimization, and Maximum Flow in Almost Linear Time
Jan Vondrák Aaron Sidford (Management Science and Engineering and Computer Science)
Postdoc, Institute for Advanced Study

Sammy Luo

Methods for problems in generalized Ramsey theory NSF Postdoctoral Research Fellow, MIT

Wyatt Mackey

A parameterized Adams spectral sequence for topological data Postdoc, University of Tennessee, Knoxville

Slava Naprienko

Combinatorics of integrable lattice models Postdoc, University of North Carolina at Chapel Hill

Huy Pham

The emergence of structures in random processes and random graphs Clay Research Fellow, Clay Math Institute

Lie Qian

Potential Automorphy for General Linear Groups Dickson Instructor, University of Chicago

Libby Taylor

Brauer classes, Azumaya algebras, and higher analogues
Graduation Year:
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
Graduation Year:
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
Graduation Year:
Name Dissertation Title Faculty Advisor First Position After Graduating

Laurent Cote

On Linking of Lagrangians in Symplectic 4 Manifolds

Gurbir Dhillon

Geometric representations of W algebras and applications to the quantum Langlands correspondence
Daniel Bump Zhiwei Yun (MIT)

Alexander Dunlap

Asymptotic properties of some random evolutions and geometries

Ben (David) Lim

Algebraization theorems for coherent sheaves on stacks
Ravi Vakil Jarod Alper (University of Washington)

Qingyun Sun

Optimization based Modeling in Investment and Data Science
David Donoho (Statistics), Stephen Boyd (Electrical Engineering)

Katerina Velcheva


Guanyang Wang

Topics in Markov Chain Monte Carlo Methods, with Applications in Statistics

Abigail Ward

Homological mirror symmetry for elliptic Hopf surfaces

Adva Wolf

Convex Projective Geometrically Finite Structures

Evangelie Zachos

The X Ray Transform on Asymptotically Euclidean Spaces

Scott (Sicong) Zhang

Morse Bott Contact Homology via Virtual Fundamental Cycles

Jupiter (Beite) Zhu

Radial estimate of isotropic pseudo differential operators via FBI transform
Graduation Year:
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
Graduation Year:
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
Graduation Year:
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
Graduation Year:
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
Graduation Year:
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
Graduation Year:
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
Graduation Year:
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
Graduation Year:
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
Graduation Year:
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

Xiannan Li

The behaviour of L-functions at the edge of the critical strip and applications

Man Chun Li

On a free boundary problem for embedded minimal surfaces and instability theorems for manifolds with positive isotropic curvature

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
Graduation Year:
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
Graduation Year:
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