2025
Embry, Allie
Advisor: Lewis Bowen
Degree: Ph. D
Dissertation: A CHARACTERIZATION OF THE LARGEST EIGENVALUES OF THE DEGREE REGULAR BLOCK MODEL
Placement: Applied Research Laboratories at The University of Texas at Austin
2024
Golding, William
Advisor: Maria Gualdani & Alexis Vasseur
Degree: Ph. D
Dissertation: STABILITY AND REGULARITY IN NONLINEAR PARTIAL DIERENTIAL EQUATIONS
Placement: Dickson Instructorship, University of Chicago
Hu, Yiran
Advisor: Alexis Vasseur
Degree: Ph. D
Dissertation: A SINGULAR FAMILY OF THREE DIMENSIONAL QUASI-GEOSTROPHIC SYSTEMS
Placement: Seismic Imaging Analyst, CGG Services
Miller, Joseph
Advisor: Natasa Pavlovic
Degree: Ph. D
Dissertation: ON DERIVING KINETIC EQUATIONS AND THEIR STRUCTURE FROM CLASSICAL MANY-BODY DYNAMICS
Placement: Szegö Assistant Professor, Stanford University
Nakamura, Kai
Advisor: John Luecke
Degree: Ph. D
Dissertation: A CLASSICAL APPROACH TO KNOT TRACES
Placement: NSF Postdoc, Stanford University
Pace, Tristan
Advisor: Gordan Zitkovic
Degree: Ph. D
Dissertation: ON DISTRIBUTIONAL PROPERTIES OF LIMITS OF HAWKES PROCESSES
Pedrotti, Riccardo
Advisor: Timothy Perutz
Degree: Ph. D
Dissertation: APPLICATIONS OF FIXED POINT FLOER THEORY TO 4-DIMENSIONAL MANIFOLDS PROBLEMS
Placement: Marshall Stone Visiting Assistant Professor, U Mass Amherst
San Miguel Malaney, Alberto
Advisor: David Ben-Zvi
Degree: Ph. D
Dissertation: PARTIAL RESOLUTIONS OF AFFINE SYMPLECTIC SINGULARITIES
Placement: Postdoc, University of Georgia, Athens
Slaoui, Saad
Advisor: David Ben-Zvi
Degree: Ph. D
Dissertation: TANNAKIAN FORMALISM AND INERTIAL COCHARACTERS
Stewart, William
Advisor: David Ben-Zvi & Dan Freed
Degree: Ph. D
Dissertation: TOPOLOGICAL DOMAIN WALLS AND RELATIVE FIELD THEORIES
Placement: Postdoc, Technical University of Munich
Reid, Charles
Advisor: Jeffrey Danciger & Dan Freed
Degree: Ph. D
Dissertation:
Placement: Gibbs Instructor, Yale University
Vallejos, Hunter
Advisor: Lewis Bowen
Degree: Ph. D
Dissertation: RANDOM GEOMETRIC STRUCTURES ON HIGH GENUS SURFACES
Placement: Machine Learning Engineer - MTSI Huntsville
Warner, William
Advisor: Natasa Pavlovic
Degree: Ph. D
Dissertation: THE DERIVATION OF THE HIGHER-ORDER BOLTZMANN EQUATION FOR HARD SPHERES AND MAXWELL MOLECULES
Placement: R&D Fellowship, Pittsburgh Penguins (NHL)
Chen, Ziheng
Advisor: Bjorn Engquist
Degree: Ph. D
Dissertation: NUMERICAL MULTISCALE METHODS: FROM HOMOGENIZATION TO MILESTONING
Nguyen, Minh Phuong
Advisor: Chandrajit Bajaj & Bjorn Engquist
Degree: Ph. D
Dissertation: HIDDEN DYNAMICAL SYSTEMS LEARNING AND APPLICATIONS
Van Dyke, Jackson
Advisor: David Ben-Zvi & Dan Freed
Degree: Ph. D
Dissertation: PROJECTIVITY, HIGHER AUTOMORPHISMS, AND ANOMALIES IN THREE-DIMENSIONS
Placement: Postdoc, Technical University of Munich
2023
Gregoric, Rok
Advisor: David Ben-Zvi
Degree: Ph. D
Dissertation: CHROMATIC APPLICATIONS OF SPECTRAL ALGEBRAIC GEOMETRY
Placement: Postdoc, Johns Hopkins University
Restrepo, Daniel
Advisor: Luis Caffarelli & Francesco Maggi
Degree: Ph. D
Dissertation: THE ALLEN-CAHN EUCLIDEAN ISOPERIMETRIC PROBLEM ANDTHE GRAD-MERCIER EQUATION ON PLASMA PHYSICS
Placement: Postdoc, Johns Hopkins University
King, Danielle
Advisor: Todd Arbogast
Degree: Ph. D
Dissertation: APPROXIMATION OF HYPERBOLIC CONSERVATIONS LAWS USING IMPLICIT WENO METHODS
Placement: Raytheon
Wedeen, Richard
Advisor: Dan Freed & David Ben-Zvi
Degree: Ph. D
Dissertation: VOLUME-DEPENDENT FIELD THEORIES
Jackson, Joseph
Advisor: Gordan Zitkovic
Degree: Ph. D
Dissertation: SOME RESULTS ON THE WELL-POSEDNESS OF QUADRATIC BSDE SYSTEMS
Placement: Dickinson Instructor/Postdoc, U Chicago
Tanana, Anastasiya
Advisor: Mihai Sirbu
Degree: Ph. D
Dissertation: ON THE TWO UTILITY MAXIMIZATION PROBLEMS
Placement: Postdoc, University of Alberta
Torres, George
Advisor: Ngoc Tran & Joseph Kileel
Degree: Ph. D
Dissertation: ZONOTOPE MATCHING AND APPROXIMATION FOR NEURAL NETWORKS
Wang, Chuning
Advisor: Todd Arbogast
Degree: Ph. D
Dissertation: DIRECT SERENDIPITY AND MIXED FINITE ELEMENTS ON POLYGONS AND CUBOIDAL HEXAHEDRA
Placement: Postdoc, University of Minnesota - Twin Cities
Weser, Daniel
Advisor: Francesco Maggi & Matias Delgadino
Degree: Ph. D
Dissertation: CONTRIBUTIONS TO THE THEORY OF ALMOST-CONSTANT MEAN CURVATURE HYPERSURFACES
Placement: Postdoc, UNC - Chapel Hill
Zhang, Luhao
Advisor: Thaleia Zariphopoulou
Degree: Ph. D
Dissertation: QUANTITATIVE AND MODELING ASPECTS OF OPTIMAL DECISION MAKING UNDER UNCERTAINTY
Placement: Assistant Professor, Johns Hopkins University
Ochse, Tynan
Advisor: Sam Raskin
Degree: Ph. D
Dissertation: WEIL RECIPROCITY FOR RIGID ANALYTIC CURVES
Placement: Associate STEM Product Director, AoPS
Sangsawang, Tharathep (Nes)
Advisor: Stefania Patrizi
Degree: Ph. D
Dissertation: FROM PEIERLS NABARRO EQUATION TO THE DYNAMICS OF THE DISLOCATION DENSITY
Schefers, Kendric
Advisor: David Ben-Zvi & Sam Raskin
Degree: Ph. D
Dissertation: MICROLOCAL HOMOLOGY AND ITS CONNECTIONS TO DONALDSON-THOMAS THEORY AND NONCOMMUNICATIVE GEOMETRY
Placement: Morrey Visiting Assistant Professor, UC Berkeley
Waldon, Harrison
Advisor: Thaleia Zariphopoulou
Degree: Ph. D
Dissertation: THE ALGORITHMIC LEARNING EQUATIONS
Placement: Postdoc, Oxford University
Zager Korenjak, Neza
Advisor: Jeffrey Danciger
Degree: Ph. D
Dissertation: CONSTRUCTION PROPER AFFINE ACTIONS VIA HIGHER STRIP DEFORMATIONS
Placement: Postdoc, MPI Leipzig
2022
Alderete, Austin
Advisor: Ngoc Tran
Degree: Ph. D
Dissertation: TROPICAL MATROID HOMOLOGY
De La Canal, Erica
Advisor: Irene Gamba
Degree: Ph. D
Dissertation: COERCIVENESS, WELL-POSEDNESS, AND BANACH NORMS PROPAGATION OF SOLUTIONS TO THE SYSTEM OF BOLTZMANN EQUATIONS FOR A MONATOMIC GAS MIXTURE
Placement: Algorithm Developer - Trace
Gannon, Tom
Advisor: Samuel Raskin
Degree: Ph. D
Dissertation: CATEGORICAL REPRESENTATION THEORY AND THE COARSE QUOTIENT
Placement: UCLA
Jin, Ruhui
Advisor: Rachel Ward
Degree: Ph. D
Dissertation: TENSOR DIMENSIONALITY REDUCTION AND APPLICATIONS
Placement: University of Wisconsin-Madison
Kose, Feride Ceren
Advisor: Cameron Gordon
Degree: Ph. D
Dissertation: SYMMETRIC UNION OF KNOTS, DOUBLE BRANCHED COVERS AND DEHN SURGERY
Placement: University of Georgia
Ma, Andrew
Advisor: Philip Isett & Alexis F Vasseur
Degree: Ph. D
Dissertation: SOME ONSAGER'S CONJECTURE TYPE RESULTS FOR A FAMILY OF ODD ACTIVE SCALAR EQUATIONS
Schulz, Sebastian
Advisor: David Ben-Zvi & Andrew Neitzke
Degree: Ph. D
Dissertation: NILPOTENT HIGGS BUNDLES AND FAMILIES OF FLAT CONNECTIONS
Placement: MSRI & Johns Hopkins University
Soria-Carro, Maria
Advisor: Luis Caffarelli & Pablo Raul Stinga
Degree: Ph. D
Dissertation: REGULARITY OF ELLIPTIC TRANSMISSION PROBLEMS AND A NEW FAMILY OF INTEGRO-DIERENTIAL OPERATORS RELATED TO THE MONGE-AMPERE EQUATION
Placement: Rutgers University
Tomasetti, Ignacio
Advisor: Luis Caffarelli & Francesco Maggi
Degree: Ph. D
Dissertation: FULLY NONLINEAR EQUATIONS WITH APPLICATIONS TO GRAD EQUATIONS IN PLASMA PHYSICS. INTERACTION BETWEEN A ONE PHASE FREE BOUNDARY PROBLEM AND AN OBSTACLE PROBLEM. OPTIMAL TRACE SOBOLEV INEQUALITIES
Weisman, Teddy
Advisor: Jeff Danciger
Degree: Ph. D
Dissertation: HIGHER-RANK GENERALIZATIONS OF CONVEX COCOMPACT AND GEOMETRICALLY FINITE DYNAMICS
Placement: University of Michigan
Wu, Yixian
Advisor: Omar Ghattas & J T Oden
Degree: Ph. D
Dissertation: OPTIMAL EXPERIMENTAL DESIGN FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS
Placement: University of Miami
Wu, Keyi
Advisor: Omar Ghattas & J T Oden
Degree: Ph. D
Dissertation: OPTIMAL EXPERIMENTAL DESIGN FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS
Placement: Research Scientist - Meta
Yang, Jincheng
Advisor: Luis Caffarelli & Alexis Vasseur
Degree: Ph. D
Dissertation: PARTIAL REGULARITY RESULTS FOR THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION
Placement: University of Chicago
2021
Cheng, Yanlin
Advisor: Thomas Chen
Degree: Ph. D
Dissertation: ON THE DERIVATION AND UNIQUENESS OF THE GROSS-PITAEVSKII HIERARCHY FOR A BOSE GAS COUPLED TO A HEAVY TRACER PARTICLE
Placement: MS Quantum Information Science - University of Southern California
Clough, Christopher
Advisor: David Ben-Zvi & Andrew Blumberg
Degree: Ph. D
Dissertation: A CONVENIENT CATEGORY FOR GEOMETRIC TOPOLOGY
Debray, Arun
Advisor: Daniel Freed
Degree: Ph. D
Dissertation: TAKING TOPOLOGICAL FIELD THEORY AT PHASE VALUE
Placement: Postdoc - Purdue University
Drake, Marjorie
Advisor: Arie Israel
Degree: Ph. D
Dissertation: APPROXIMATE EXTENSION IN SOBOLEV SPACE
Placement: NSF Postdoctoral Fellow - University of Pittsburgh & MIT (+ Moore Instructorship)
Grindstaff, Gillian
Advisor: David Ben-Zvi & Andrew Blumberg
Degree: Ph. D
Dissertation: GEOMETRIC DATA ANALYSIS FOR PHYLOGENETIC TREES AND NON-CONTRACTIBLE MANIFOLDS
Placement: Postdoc - Oxford University
Johnson, Jonathan
Advisor: Cameron Gordon
Degree: Ph. D
Dissertation: TWO-BRIDGE LINKS, PRETZEL KNOTS AND BI-ORDERABILITY
Placement: Postdoc - Oklahoma State University
King, Darren
Advisor: Francesco Maggi
Degree: Ph. D
Dissertation: A CAPILLARITY MODEL FOR SOAP FILMS
Placement: NSF postdoc at Courant Institute - New York University
Riestenberg, John Maxwell
Advisor: Jeffrey Danciger
Degree: Ph. D
Dissertation: A LOCAL-TO-GLOBAL PRINCIPLE FOR MORSE QUASIGEODESICS
Placement: Postdoc - University Heidelberg
Szczekutowicz, Anna
Advisor: Irene Gamba
Degree: Ph. D
Dissertation: THE LANDAU LIMIT OF THE BOLTZMANN EQUATION AND FAST PARTICLE MOTION IN A TOKAMAK
Placement: Assistant Professor of Instruction - The University of Texas at Austin
Turner, Hannah
Advisor: Cameron Gordon
Degree: Ph. D
Dissertation: SYMMETRIES OF KNOTS, BRANCHED CYCLIC COVERS, AND L-SPACES
Placement: Postdoc - Georgia Tech
Urban, Amie
Advisor: Thomas Chen
Degree: Ph. D
Dissertation: NONLINEAR SCHRODINGER SYSTEMS ON THE THREE-DIMENSIONAL TORUS
Placement: Senior Professional Staff - Johns Hopkins University - Applied Physics Lab
Wong, Richard
Advisor: David Ben-Zvi & Andrew Blumberg
Degree: Ph. D
Dissertation: ENDO-TRIVIAL MODULES FOR CYCLIC P-GROUPS AND GENERALIZED QUATERNION GROUPS VIA GALOIS DESCENT
Placement: Assistant Adjunct Professor University of California, Los Angeles
Zhang, Chuwei
Advisor: Thomas Chen
Degree: Ph. D
Dissertation: ON THE WEAKLY DISORDERED ANDERSON MODEL AND ASPECTS OF ITS KINETIC SCALING LIMIT TO THE LINEAR BOLTZMANN EQUATION
2020
Ampatzoglou, Ioakeim
Advisor: Natasa Pavlovic
Degree: Ph. D
Dissertation: Higher order extensions of the Boltzmann equation
Placement: New York University
Bobb, Martin
Advisor: Jeffrey Danciger
Degree: Ph. D
Dissertation: Cusps and Codimension-1 Flats in Convex Projective Geometrey
Placement: University of Michigan
Carney, Sean
Advisor: Björn Engquist
Degree: Ph. D
Dissertation: Numerical Multiscale Methods for Boundary Layer Problems in Fluid Dynamics
Placement: University of California, Los Angeles
Dragovic, Natasa
Advisor: Francois Baccelli
Degree: Ph. D
Dissertation: On Poisson Follower Model
Placement: Tufts University
Dussinger, Milica
Advisor: Bjorn Engquist
Degree: Ph. D
Dissertation: Numerical Methods for Averaging and Homogenization
Frei-Pearson, Abraham
Advisor: Arie Israel
Degree: Ph. D
Dissertation: Coordinate-Free Principles for Extension of Smooth Functions
Placement: Striveworks
Krupa, Sam
Advisor: Alexis Vasseur
Degree: Ph. D
Dissertation: The L2 Theory of Well-posedness for Hyperbolic Systems of Conservation Laws
Placement: Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany
Lai, Jonathan
Advisor: Sean Keel
Degree: Ph. D
Dissertation: Compactified Mirror Families for Positive Log Calabi-Yau Surfaces
Placement: Imperial College
Lin, Yuqing
Advisor: Lewis Bowen
Degree: Ph. D
Dissertation: Non-unique sofic entropy and a von Neumann algebra multiplicative ergodic theorem
Placement: Ben Gurion University of the Negev
Liu, Zhao
Advisor: Thibaud O Taillefumier
Degree: Ph. D
Dissertation: OPTIMIZING MUTUAL INFORMATION OVER NEURAL TUNING CURVES
Placement: AI Data Scientist - Change Healthcare
Pennie, Clark
Advisor: Irene M. Gamba
Degree: Ph. D
Dissertation: Conservative Spectral Methods of Fokker-Planck-Landau Type Equations: Simulations, Long-time Behaviour and Error Estimates
Placement: Trace
Rosenzweig, Matthew
Advisor: Natasa Pavlovic
Degree: Ph. D
Dissertation: Old and New Perspectives on Effective Equations: A Study of Quantum Many-Body Systems
Placement: Massachusetts Institute of Technology
Stokols, Logan
Advisor: Alexis Vasseur
Degree: Ph. D
Dissertation: The De Giorgi method: Applications to degenerate PDE
Placement: Fields Institute
Tulli, Ivan
Advisor: Daniel Freed and Andrew Neitzke
Degree: Ph. D
Dissertation: The Ooguri-Vafa as a moduli space of framed wild harmonic bundles
Placement: University of Hamburg
Wu, Xiaoxia
Advisor: Rachel Ward and Leon Bottou
Degree: Ph. D
Dissertation: GRADIENT-BASED OPTIMIZATION AND IMPLICIT REGULARIZATION OVER NON-CONVE X LANDSCAPES
Placement: Postdoc - University of Chicago