Recent Ph.D. Recipients

2023-2024

Name	Dissertation Title	Advisor(s)	First Employment
Anna Brosowsky	The Cartier Core Map and F-graded Systems	Smith
Shelby Cox	Algebraic Structures into Phylogenetics: Insights from Tropical Convexity and Likelihood Geometry	Speyer	Max Planck Institute for Mathematics in the Sciences
Xiaoyu Dong	Non-Asymptotic Singular Value Analysis of Random Matrices with Computer Science Applications	Rudelson	Peng Tsu Ann Assistant Professorship (Visiting Fellow); National University of Singapore
Sayantan Khan	Dynamics on the Moduli Space of Non-Orientable Surfaces	Wright	Quantitative Researcher with Susquehanna International Group
Malavika Mukundan	Transcendental Thurston Theory and Dynamical Approximations	Koch	Post Doc Associate Teaching Scholar; Department of Mathematics and Statistics, Boston University
Swaraj Sridhar Pande	The F-signature and the Frobenius-Alpha Invariant of Projective Varieties	Smith	Simons Laufer Mathematical Sciences Institute
Kannappan Sampath	A p-adic Jacquet Langlands Correspondence	Prasanna	Indian Statistical Institute
Daniel Stoll	Dynamical Varieties	Koch
Benjamin Riley	Self-Conjugate Cobordism and the Rectified Adams-Novikov Spectral Sequence	Kriz
Ethan Zell	Finite State Mean Field Games	Cohen	Optiver as a Quantitative Researcher; Chicago
Sameer Kailasa	Modeling Relays and Rhythms of the Granular Retrosplenial Cortex	Booth
Andy Gordon	The Closed Stratum of a Parahoric Deligne-Lusztig Variety	Chan
Jineon Baek	A new conditional upper bound for the area of a moving sofa	Zieve	Post Doc Researcher; Yonsei University, Korea
Andy Jiang	Grothendieck Duality and D-modules via Diagonally Supported Sheaves	Bhatt	Post Doc; Academia Sinica, Taiwan
Ilia Nekrasov	Tensorial measures on omega-categorical structures	Snowden	Charles B. Morrey Visiting Assistant Professor; Department of Mathematics, UC Berkeley
Karthik Ganapathy	GL-algebras in positive characteristic	Snowden	SEW Visiting Assistant Professor; Department of Mathematics, University of California
Binglin Song	Balanced Heat Transport and Optimal Cooling	Esedoglu
April Nellis	Applications of Stochastic Optimal Control to Pandemic Management, Optimal Energy Production, and Decentralized Finance	Cohen & Bayraktar	Staff Researcher; Applied Physics Laboratory, Johns Hopkins University
Brian Chen	Applications of Generative Models for Neural Quantum States and Imitation Learning	Veerapaneni & Gorodetsky	Sandia National Laboratories
Chuhao Sun	Optimal singular control problems and quantum-inspired algorithms in finance	Cohen & Subramanian	Post Doc; University of Michigan
Oliver Knitter	Exploration of Quantum-Inspired Deep Learning Architectures for Fundamental Applications in Scientific Computing	Veerapaneni & Hero	Research Post Doc; Sandbox AQ
Yiyang Liu	Electromagnetic inverse wave scattering via reduced order modeling	Borcea & Dowling
Jessie Conrad	Identification, Verification, and Validation of Epidemiological Models in Public Health Practice	Eisenber & Jackson	Post Doc; Intelligence & Systems Analysis Group at Los Alamos National Lab (LANL) in the Global Security Division

2022-2023

Name	Dissertation Title	Advisor(s)	First Employment
Karen Butt	Closed geodesics and stability of negatively curved metrics	Spatzier	University of Chicago
Attilio Castano	A Berkovich approach to Perfectoid Spaces	Jonsson
Will Dana	Stretched Root Systems and the Geometry of Shard Modules	Speyer	Santa Clara University
Bradley Dirks	Using Mixed Hodge modules to Study Singularities	Mustata	Stonybrook University
Alex Ginsberg	Firing-rate models in computational neuroscience: new applications and methodologies	Booth & Forger	University of Utah
Jonathan Guzman	Repeated Binary Action Coordination Games with Uniform Noise and Prior	Miller & Jackson	University of Michigan
James Hotchkiss	Hodge theory of twisted derived categories and the period-index problem	Perry	Columbia University
Alex Kapiamba	Parabolic Towers and the Asymptotic Geometry of the Mandelbrot set	Koch	Harvard University
Caleb Mayer	Mathematical Modeling of Circadian Rhythms from Wearable Data across Populations and Health Conditions	Forger & Choi	Stanford University
Alapan Mukhopadhyay	Frobenius-Poincare´ Function and Hilbert-Kunz Multiplicity	Smith	École Polytechnique Fédérale de Lausanne
Carsten Peterson	Quantum Ergodicity on Bruhat-Tits Buildings	Spatzier	Paderborn University
Yuping Ruan	Filling volume minimality and boundary rigidity of metrics close to a negatively curved symmetric metric	Spatzier	Northwestern University
Sanal Shivaprasad	Convergence of measures on non-Archimedean hybrid spaces	Jonsson
Binglin Song	Balanced Heat Transport and Optimal Cooling	Esedoglu
Ursula Trigos-Raczkowski	Coexistence through Life-History Variation: revisited in tractable models with explicit patch aging and/or size-structure	Jackson & Ostling	University of Texas - Austin
Yinan (Nancy) Wang	Local Cohomology Modules and Motivic Chern Class Computations	Mustata
Nicholas Wawrykow	Higher Order Representation Stability and Disk Configuration Spaces	Wilson	University of Chicago
Yueqiao Wu	A non-Archimedean Approach to K-stability of Log Fano Cone Singularities	Jonsson	Institute for Advanced Study
Chris Zhang	Classification Results of Orbit Closures of Translation Surface	Wright	Google, LLC
Yili Zhang	Learning-based Decision-making under Stochastic and Adversarial Uncertainties	Cohen & Subramanian
Bradley Zykoski	A Polytopal Decomposition of Strata of Translation Surfaces	Wright	Northwestern University

2021-2022

Name	Dissertation Title	Advisor(s)	First Employment
Christina Athanasouli	Analyzing Perturbations of Sleep-Wake Dynamics Using Bifurcation Theory and Circle Maps	Booth & Forger	Georgia Institute of Technology
Jack Carlisle	Equivariant Complex Cobordism and Geometric Orientations	Kriz & Guchuan	Notre Dame University
Yiwang Chen	Some Results On Homogeneity Results for GLn	DeBacker & Kaletha	Youtube, LLC
Robert Cochrane	Tensor Ranks and Norms	Derksen & Jonsson	University of Michigan
Elizabeth Collins-Woodfin	Free Energy and Overlaps of a Spherical Spin Glass with an External Field	Baik & Conlon	McGill University
Peter Dillery	Rigid Inner Forms Over Function Fields	Kaletha & Berteloni-Meli	University of Maryland
Aleksander Horawa	Motivic action on Coherent Cohomology of Hilbert modular varieties	Prasanna & Bhatt	Oxford University
Yifeng Huang	Topics on Polynomial Equations in Noncommutative Rings and Motivic Aspects of Moduli Spaces	Zieve & Lagarias	University of British Columbia
Alana Huszar	Non-commutative Rank, Quivers, and Tensors	Derksen & Hochster	JP Morgan Chase, LLC
Zhi Jiang	Tensors, Cap Set and Invariant Theory	Derksen & Smith	Arrive Logistics, LLC
Hyung Kyu Jun	Representation Theory of Curried Algebras and Non-primality of Certain Symmetric Ideals	Snowden & Akhoury	Jump Trading, LLC
Benjamin Krakoff	Duality and Hardy Spaces on Levi-Flat Domains with Corners	Barrett & Jonsson	SIG, LLC
Jason Liang	Vinberg Representations and 2-Descent on Jacobians of Curves	Ho & Booth
Yunze Lu	On the Coefficients of some Nonabelian Equivariant Cohomology Theories	Kriz & Adams	University of California - San Diego
Christiana Mavroyiakoumou	Membrane Flutter in Inviscid Flow	Alben & Duraisamy	NYU
Andrew McMillan	A Note on Dynamic Processes	Ke & Doering	Citi
Shubhodip Mondal	G_a-perf -modules and de Rham Cohomology	Bhatt & Booth	Max Planck Institute
Khoa Nguyen	M-theory on G2 Manifolds Moduli to Phenomenology	Ji & Kane	Amazon NYC
Jenia Rousseva	Propagation and Reduction of Coherent States in Bargmann Spaces	Uribe & Aidala
Ryan Sandberg	Vlasov Simulation with FARSIGHT and Unlimited Photon Acceleration	Krasny & Thomas	Berkeley Lab
Nawaz Sultani	Gromov-Witten Theory of Non-Convex Complete Intersections	Pixton & Janda	Academia Sinica
Jack Wakefield	Macroscopic Traffic Models with Behavior Variation Driven by Noise	Karni & Saigal
Wijit Yangjit	Hilbert's Inequality, Generalized Factorials, and Partial Factorizations of Generalized Binomial Products	Montgomery & Lagarias	University of Michigan
Eric Zhao	Neural Quantum States for Scientific Computing: Applications to Computational Chemistry and Finance	Veerapaneni & Gavini	Amazon

2020-2021

Name	Dissertation Title	Advisor(s)	First Employment
Amanda Bower	Dealing with Intransitivity, Non-Convexity, and Algorithmic Bias in Preference Modeling	Strauss & Balzano	Twitter, Inc.
Can Chen	Multilinear Control Systems Theory and its Applications	Bloch & Rajapakse	Harvard Medical School
Gilyoung Cheong	Cycle indices in arithmetic geometry	Zieve & Mustata	University of California - Irvine
Angus Chung	A factorization of the coefficients of exponential and logarithm series for function fields	Prasanna	University of California - San Diego
Saibal De	Fast Solvers and Simulation Data Compression Algorithms for Granular Media and Complex Fluid Flows	Veerapaneni & Huan	Sandia National Labratories
Mark Greenfield	Some new directions in Teichmüller theory	Ji	SIG, LLC
Haoyang Guo	Cohomology of non-smooth rigid analytic spaces	Bhatt	Max Planck Institute
Jia Guo	Three problems in stochastic control and applications	Bayraktar & Stoev
Jacob Haley	Some Results on Tori in p-adic Groups	DeBacker	Penn State University
Fanchen He	Towards a new-generation numerical scheme for the compressible Navier-Stokes equations with the Active Flux method	Karni & Roe	COMSOL, Inc.
Mitul Islam	Rank One Phenomena in Convex Projective Geometry	Spatzier	Heidelburg University, Germany
Zhan Jiang	Test Elements, Analogues of Tight Closure, and Size for Ideals	Hochster	Google, LLC
Monica Lewis	The Closed Support Problem over a Complete Intersection Ring	Hochster	NSF University of Minnesota
Yuchen Liao	Topics in interacting particle systems and random Schr\'odinger operators	Baik & Nadakuditi	University of Warwick, UK
Claire Lin	Efficient Model-based Reconstruction for Dynamic MRI	Gilbert & Fessler	KLA, Inc.
Devlin Mallory	Singularities of Birational Geometry via Arcs and Differential Operators	Mustata	University of Utah
Eamon Quinlan-Gallego	Bernstein-Sato theory in positive characteristic.	Smith	University of Utah
David Schwein	Formal Degree of Regular Supercuspidals	Kaletha	University of Cambridge
Yonatan Shelah	A spectral exploration of the Leray transform in two different settings in C^2	Barrett	University of Ljubljana
Rishi Sonthalia	Metric and Representation Learning	Gilbert & Nadakuditi	University of California - Los Angeles
Konstantinos Tsouvalas	Anosov representations, strongly convex cocompact groups and eigenvalue gap	Canary	IHES - University of Paris
Ningyuan Wang	Modeling and Simulation Methods of Neuronal Populations and Neuronal Networks	Forger & Booth	University of Tokyo/RIKEN
Yuxin Wang	Local Well-posedness of Free Boundary Relativistic Barotropic Fluid in Minkowski Space-time	Wu	SIG, LLC
Leighton Wilson	Development and Application of Numerical Methods in Biomolecular Solvation	Krasny & Zimmerman	Northrop Grumman, Inc.
Farrah Yhee	Counterexamples in the Theory of Ulrich Modules	Hochster	Purdue University
Jingjie Zhang	Problems in Mathematical Finance Related to Time Inconsistency and Mean Field Games	Bayraktar & Mitra	University of International Business & Economics
Xin Zhang	Topics in Stochastic Analysis and Control	Bayraktar	University of Vienna
Hai Zhu	Integral Equation Methods-Based PDE Solvers and Application in Fluid Optimization Problems	Veerapaneni & Johnsen	University of Michigan

2019-2020

Name	Dissertation Title	Advisor(s)	First Employment
Ruian Chen	E_?-Rings and Modules in Kan Spectral Sheaves	Kriz	Ohio State University
William Clark	Invariant Measures, Geometry, and Control of Hybrid and Nonholonomic Dynamical Systems	Bloch & Grizzle	Cornell University
Montek Gill	Stabilizations of $\mathbb{E}_\infty$ Operads and $p$ -Adic Stable Homotopy Theory	Kriz, I.	Google, LLC
John Holler	Learning Dynamics and Reinforcement in Stochastic Games	Strauss	Greenhills School
Daniel Irvine	Symplectic Embeddings of Toric Domains	Burns	Indiana University, Bloomington
Joseph Kraisler	Transport of Light in Classical and Quantum Models	Schotland	Columbia University
Harry Lee	Topics in Viscous Shear Flow Dynamics	Doering	U of Wisconsin
Andrew O'Desky	The Orbit Intersection Problem and Polynomial Sequences	Zieve	NSF Princeton
Matthew Olson	Heat Transport in Reduced Order Convection Models	Doering	TBA
Samantha Pinella	Hilbert Domains, Conics, and Rigidity	Spatzier	TBA
Jasmine Powell	Mapping Class Groups of Rational Maps	Koch	MathWorks, Inc.
Emanuel Reinecke	Moduli of Curves at Infinite Level	Bhatt	Institute for Advanced Study
Harry Richman	Weierstrass Points and Torsion Points on Tropical Curves	Speyer	University of Washington - Seattle
Punya Satpathy	Scattering Theory on Locally Symmetric Spaces	Ji	University of Alberta
Salman Siddiqi	Decay of correlations for certain isometric extensions of Anosov flows	Spatzier	Indiana University - Bloomington
Alex Vargo	Applications of machine learning: from single cell biology to algorithmic fairness	Gilbert	TBA
Nathanial Vaughn	GPU Accelerated Barycentric Treecodes and their Application to Kohn-Sham Density Functional Theory	Krasny & Gavini	Los Alamos National Lab
Rachel Webb	Functoriality and the moduli of sections, with applications to quasimaps	Pixton	University of California - Berkeley
Yun Wei	Theoretical foundations for clustering and screening heterogeneous and high dimensional data	Hero & Nguyen	SAMIS and Duke University
Alexander Zaitzeff	Higher Order Schemes for Gradient Flows	Esedoglu	Two Six Labs, LLC
Feng Zhu	Relatively Dominated Representations	Canary	Technion - Israel Institute of Technology

2018-2019

Name	Dissertation Title	Advisor(s)	First Employment
Yuanyuan Chen	Filtration theorems and bounding generators of symbolic multi-powers	Hochster	Zoox, Inc.
Corey Everlove	Meromorphic Dirichlet Series	Lagarias & Montgomery	University of Michigan
Francesca Gandini	Ideals of Subspace Arrangements	Derksen	Kalamazoo College
Han Huang	High Dimensional Phenomenon in Convex Geometry and Spectral Theorem of Random Graphs	Rudelson	Georgia Tech
Trevor Hyde	Polynomial statistics, necklace polynomials, and the arithmetic dynamical Mordell-Lang conjecture	Zieve & Lagarias	University of Chicago
Gracie Ingermanson	Cluster Algebras of Open Richardson Varieties	Speyer	Full Stack Solutions, LLC
John Kilgore	Weyl's law for singular algebraic varieties	Ji	Radiant Solutions/Maxar
Robert Lutz	Electrical Networks, Hyperplane Arrangements and Matroids	Lagarias	Mathematical Sciences Research Institute
Andrew Melfi	Theoretical and Numerical Analyses of Deviations between Kingman's Coalescent and the Wright-Fisher Model	Viswanath & Terhorst	Google, LLC
Rongxiao Mi	Gromov-Witten theory and Type II extremal transitions	Ruan	Harvard University
Takumi Murayama	Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods	Mustata	NSF Princeton University
Jiah Song	Mathematical Modeling and Simulations of Traffic Flow	Karni	Ford Motor Company, Inc.
Matthew Stevenson	Applications of Canonical Metrics on Berkovich Spaces	Jonsson	Google, LLC
Qingtang Su	Long time behavior of 2d water waves	Wu	University of Southern California, Los Angeles
Yitong Sun	Random Features Methods in Supervised Learning	Gilbert	Huawei, Ltd.
Philip Tosteson	Representation Stability, Configuration Spaces, and Deligne--Mumford Compactifications	Snowden	NSF University of Chicago
Umang Varma	A Paucity of Data in Machine Learning: Applications in Single Cell RNA Sequencing and Ranking	Gilbert	Google, LLC
Robert Walker	Uniform Symbolic Topologies in Non-Regular Rings	Smith	NSF University of Wisconsin
Bowei Wu	Spectrally-Accurate Close Evaluation Schemes for Stokes Boundary Integral Operators	Veerapaneni & Kransy	University of Texas at Austin
Hao Wu	New Applications of Random Matrix Theory in Spin Glass and Machine Learning	Baik	Susquehanna International Group, LLP (SIG)
Ming Zhang	Quantum K-theory with level structure	Ruan	University of British Columbia

2017-2018

Name	Dissertation Title	Advisor(s)	First Employment
Siddhant Agrawal	On the Motion of Angled Crested Type Water Waves	Wu	University of Massachusetts - Amherst
Harold Blum	Singularities and K-stability	Mustata	University of Utah
Brandon Carter	Jochnowitz Congruences at Residual Primes	Prasanna	Google, LLC
Charlotte Chan	Period Identities of CM Forms on Quaternion Algebras	Prasanna	Princeton and MIT
Rankeya Datta	A tale of valuation rings in prime characteristic	Smith	University of Illinois - Chicago
Gabriel Frieden	Geometric Lifting of Affine Type A Crystal Combinatorics	Lam	LaCIM - UQAM
Patricia Klein	Relationships among Hilbert-Samuel multiplicities, Koszul cohomology, and local cohomology	Hochster	University of Kentucky
Alexander Leaf	The Kashaev Equation and Related Recurrences	Fomin	DRW Holdings, LLC
Bingying Lu	The Semi-Classical Sine-Gordon Equation, Universality At the Gradient Catastrophe and the Painlev´e I Equation	Miller	Institute of Mathematics, Academia Sinica
Yining Lu	Mathematical Modeling of Phosphorylation in Circadian Clocks from Cyanobacteria to Mammals	Forger & Lubensky	Akuna Capital, LLC
Viswambhara Makam	Invariant theory, Tensors and Computational complexity	Derksen	Institute for Advanced Study
Audra McMillan	Differential Privacy, Property Testing and Perturbations	Gilbert	Boston University
Raymundo Navarrete	Embeddings and Prediction of Dynamical Time Series	Viswanath & Scott	University of Arizona
Michael Newman	Applications of Locality and Asymmetry to Quantum Fault-Tolerance	Straus & Shi	Duke University
Gilad Pagi	Enhanced Algorithms for F-pure Threshold Computation	Smith	Google, LLC
Ashwath Rabindranath	Pseudoeffective Cones and Morphisms of Projective Varieties	Mustata	Chubb, LTD
Elizaveta Rebrova	Spectral Properties of Heavy-Tailed Random Matrices	Vershynin	University of California - Los Angeles
Scott Rich	Interacting Mechanisms Driving Synchrony in Neural Networks with Inhibitory Interneurons	Booth & Zochowski	Krembil Research Institute
Yan Shuo Tan	Some Algorithms and Paradigms for Big Data	Vershynin & Gilbert	University of California - Berkeley
Feng Wei	Measure Concentration and Non-asymptotic Singular Values Distributions of Random Matrices	Rudelson	Microsoft, Inc.

2016-2017

Name	Dissertation Title	Advisor(s)	First Employment
Daniel Barter	Some Remarks About the Interaction Between Quantum Algebra and Representation Stability	Snowden	University of Sydney
Dondi Ellis	Motivic Analogues of MO and MSO	Kriz	Washtenaw Community College
Stefan Froehlich	Polyhedral Analysis of Plethysms and Kronecker Coefficients	Stembridge	Google
Roman Gayduk	Game-Theoretic Approach for Modeling Market Microstructure	Nadtochiy	Barclays
Weichen Gu	Computations of Mather Minimal Log Discrepancies	Mustata	Susquehanna International Group
Kevin Hannay (AIM)	Macroscopic Models and Phase Resetting in Coupled Biological Oscillators	Forger & Booth	Schreiner University
Jeremy Hoskins (AIM)	Diffuse Scattering and Diffuse Optical Tomography on Graphs	Gilbert & Schotland	Yale University
Matthew Jacobs	Algorithms for Multiclass Partitioning	Baik & Esedoglu	UCLA
Gene Kopp	Indefinite Theta Functions and Zeta Functions	Lagarias	University of Bristol
Jake Levinson	Foundations of Boij-Soderberg Theory for Grassmannians	Speyer	University of Washington
Alexander Munk	Beliefs and Uncertainty in Stochastic Modeling	Bayraktar	Chicago Trading Company
Rohini Ramadas	Dynamics on the Moduli Space of Pointed Rational Curves	Speyer & Koch	Harvard University
Andrew Schaug	Dualities Arising from Borcea-Voisin Threefolds	Ruan	EY
Robert Silversmith	A Mirror Theorem For Symmetric Products of Projective Space	Ruan	Simons Center for Geometry and Physics
Derek Wood	A Mode Coupling Theory for Random Waveguides with Turning Points	Borcea	Systems and Technology Research

2015-2016

Name	Dissertation Title	Advisor(s)	First Employment
Christopher Fraser	Correspondences between cluster structures	Fomin	Indiana University- Purdue University Indianapolis
Rachel Karpman	Total Positivity and Network Parametrizations: From Type A to Type C	Lam	The Ohio State University
Adam Kaye	Arithmetic of the Asai L-function for Hilbert modular forms	Prasanna	Goldman Sachs
Jiaqi Li (AIM)	Stochastic Perron for Stochastic Target Problems	Bayraktar & Uday Rajan	Goldman Sachs
Wei Li (AIM)	Nonlinear Wave Propagation in Deterministic and Stochastic Media	Borcea & Schotland	University of Minnesota
Gary Marple (AIM)	Fast, High-order Algorithms for Simulating Vesicle Flows Through Constrained Geometries	Veerapaneni & O. Eniola-Adefeso	University of Michigan
Suchandan Pal	An Explicit Jacquet-Langlands correspondence	Prasanna	Mavenir
David Prigge (AIM)	Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions	Karni & Remi Abgrall -Zurich	Farmers Ins.
Seyed Hamed Razavi (AIM)	Symmetric Hybrid Systems: Periodic Gait Design for Legged Robots	Bloch & Jessy Grizzle (EECS)	EPFL, Switzerland
Rebecca Rebhuhn-Glanz (RG)	Closure Operations that Induce Big Cohen-Macaulay Modules and Algebras, and Classification of Singularities	Hochster	Syracuse University
David Renardy	Bumping in Deformation Spaces of Hyperbolic 3-manifolds with Compressible Boundary	Canary	Invincea labs
Gregory Simon	Automorphism-Invariant Integral Forms in Griess Algebras	Griess	Western Governors University
Andre Souza (AIM)	An Optimal Control Approach to Bounding Transport Properties of Thermal Convection	Viswanath & Doering	Georgia Tech
Olivia Walch (AIM)	Exploring subconscious vision and circadian rhythms through mathematical modeling	Forger & Koon Wong (med)	University of Michigan
John Wiltshire-Gordon	Representation theory of combinatorial categories	Speyer	University of Wisconsin

2014-2015

Name	Dissertation Title	Advisor(s)	First Employment
Pedro Acosta	A General Landau-Ginzburg/Gromov-Witten Correspondence	Ruan	University of Minnesota
David Benson-Putnins	Volumes and integer points of multi-index transportation polytopes	Barvinok	Jane Street Capital
Andrew Brouwer (AIM)	Models of HPV as an Infectious Disease and as an Etiological Agent of Cancer	Marisa Eisenberg & Rafael Meza	University of Michigan Department of Epidemiology
Daniel DeWoskin (AIM)	Multiscale modeling of coupled oscillators with applications to the mammalian circadian clock	Forger & Schnell	UC Davis
Brittan Farmer (AIM)	Modeling and simulation of carbon nanotube growth	Esedoglu & John Hart	University of Minnesota
Balin Fleming	Arc schemes in logarithmic algebraic geometry	Smith	University of British Columbia
Purvi Gupta	Fefferman's hypersurface measure and volume approximation problems	Barrett	University of Western Ontario
Daniel Hathaway	Domination of functions	Blass	University of Denver
Zhibek Kadyrsizova	Tight closure, F-purity, and varieties of nearly commuting matrices	Hochster	International IT University, Almaty
Giwan Kim	Richardson Varieties in a Toric Degeneration of the Flag Variety	Speyer
Juan (Felipe) Perez	On connections between invariants of singularities in zero and positive characteristics	Mustata	Georgia State University
Russell Ricks	Flat strips, Bowen-Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces	Spatzier	Binghamton University
Brandon Seward	Krieger's finite generator theorem for ergodic actions of countable groups	Spatzier	Hebrew University of Jerusalem
Ariel Shnidman	Heights of generalized Heegner cycles	Prasanna	Boston College
Yi Su	Electrical networks and electrical Lie Theory of classical types	Lam	Trexquant Investment, Ann Arbor
Brooke Ullery	Tautological Bundles on the Hilbert Scheme of Points and the Normality of Secant Varieties	Smith	University of Utah
Alfredo Wetzel	Three Stratified Fluid Models: Benjamin-Ono, Tidal Resonance, and Quasi-Geostrophy	Miller	University of Wisconsin
Yuchong Zhang (AIM)	Problems in mathematical finance related to transaction costs and model uncertainty	Erhan Bayraktar & Uday Rajan	Columbia University
Tengren Zhang	Geometry of the Hitchin Component	Canary	California Institute of Technology
Xiaolei Zhao	Topological Abel-Jacobi Mapping and Jacobi Inversion	Smith (Laszarsfeld)	Northeastern University
Zhou Zhou (AIM)	Topics in Optimal Stopping and Fundamental Theorem of Asset Pricing	Erhan Bayraktar & Hyun Soo Ahn	Institute for Mathematics and its Applications at the University of Minnesota

2013 - 2014

Name	Dissertation Title	Advisor(s)	First Employment
Harry Altman	Integer Complexity, Addition Chains, and Well Ordering	J. Lagarias
Jeffrey Calder (AIM)	Hamilton-Jacobi Equations for Sorting and Percolation Problems	S. Esedoglu & A. Hero	University of California, Berkeley
Kevin Carde	Cluster Algebras and Classical Invariant Rings	S. Fomin	Canada/USA Mathcamp
Michael Chmutov	The Structure of W-Graphs Arising in Kazhdan-Lusztig Theory	J. Stembridge	University of Minnesota
Emily Clader	The Landau-Ginzburg/Calabi-Yau Correspondence for Certain Complete Intersections	Y. Ruan	ETH Zurich - Institute for Theoretical Studies
Nicolas Ford	Geometric Shifts and Positroid Varieties	D. Speyer	Jane Street Capital
Bich (Becky) Hoai	On Symplectic Invariants Associated to Zoll Manifolds	D. Burns	Federal Researve Bank of St. Louis
June Huh	Rota's Conjecture and Positivity of Algebraic Cycles in Toric Varieties	M. Mustata	Clay Mathematics Institute
Rafe Kinsey	A Priori Estimates for Two-Dimensional Water Waves with Angled Crests	S. Wu
Kin Kwan Leung	Complex Geometric Invariants Associated to Zoll Manifolds	D. Burns	University of Toronto
Sijun Liu	Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations	M. Zieve	Oracle
Zhipeng Liu	Discrete Toeplitz Determinants and their Applications	J. Baik	New York University
Linquan Ma	The Frobenius Endomorphism and Multiplicities	M. Hochster	Purdue University
Hieu Ngo	Generalizations of the Lerch Zeta Function	J. Lagarias	Texas A&M University Qatar
Nathan Priddis	A Landau-Ginzburg/Calabi-Yau Correspondence for the Mirror Quintic	Y. Ruan	Leibniz University of Hannover
Mario Riolo (AIM)	Topics in Structured Host-Antagonist Interactions	C. Doering & P. Rohani	University of Michigan
Geoffrey Scott	Torus Actions and Singularities in Symplectic Geometry	D. Burns	University of Toronto
Ashley Wheeler	Ideals Generated by Principal Minors	M. Hochster	University of Arkansas
Mary Wootters	Any Errors in this Dissertation are Probably Fixable: Topics in Probability and Error Correcting Codes	M. Strauss	Carnegie Mellon University
Jingchen Wu (AIM)	Some Problems in Stochastic Control Theory Related to Inventory Management and Coarsening	J. Conlon & X. Chao	Amazon.com
Yilun Wu (AIM)	On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations	J. Smoller & F. Adams	Brown University
Xin Zhou	Asymptotics of Equivariant Syzygies	R. Lazarsfeld & M. Mustata	Global Atlantic
Andrew Zimmer	Rigidity in Complex Projective Space	R. Spatzier	University of Chicago

2012 - 2013

Name	Dissertation Title	Advisor(s)	First Employment
William Abram	Equivariant Complex Cobordism	I. Kriz	Hillsdale College
Samuel Altshul	Endoscopy for Nilpotent Orbits of G_2	S. DeBacker	Harvard University
Jennifer Beichman	Nonstandard Dispersive Estimates and Linearized Water Waves	S. Wu	University of Wisconsin, Madison
Peter Bosler (AIM)	Particle Methods for Geophysical Flow on the Sphere	R. Krasny & C. Jablonowski	University of Michigan
Ernest Hunter Brooks	Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions	K. Prasanna	Federale de Lausanne
Sohhyun Chung (AIM)	The Impact of Volcker Rule on Bank Profits and Default Probabilities	J. Conlon & J. Keppo	Samsung
William Gignac	Equidistribution of Preimages in Nonarchimedean Dynamics	M. Jonsson	Ecole Polytechnique/Georgia Tech
Huaiying Gu (AIM)	Value-At-Risk (VaR) and Dynamic Portfolio Selection	J. Conlon & H. Li	Key Corp
Shawn Henry	Classifying Topoi and Preservation of Higher Order Logic by Geometric Morphisms	A. Blass	Colorado University
Yu-Jui Huang (AIM)	Topics in Stochastic Control with Applications to Finance	E. Bayraktar & H. Li	Dublin City University
Jae Kyoung Kim (AIM)	Mathematical Modeling and Analysis of Cellular Clocks	D. Forger & V. Booth	Ohio State University
Ross Kravitz	Problems in Optimal Stopping and Control	E. Bayraktar	Kabam
Sara Lapan	On the Existence of Attracting Domains for Maps Tangent to the Identity	M. Jonsson	Northwestern University
Seung Jin Lee	Centrally Symmetric Polytopes with Many Faces	A. Barvinok	Korea Institute for Advanced Study
Sarah Mayes	The Asymptotic Behavior of Generic Initial Systems	K. Smith	Quest University Canada
Jeffrey Meyer	On the Totally Geodesic Commensurability Spectrum of an Arithmetic Locally Symmetric Spaces	R. Spatzier & M. Stover	University of Oklahoma
Alexander Mueller	Applications of Generalized Fermat Varieties to Zeta Functions of Artin-Schreier Curves	M. Zieve	Less Annoying Software
Luis Nunez Betancourt	Finiteness Properties of Local Cohomology	M. Hochster	University of Virginia
Kristofer-Roy Reyes (AIM)	Fast Kinetic Monte Carlo Simulations: Theory, Implementation and Applications	P. Smereka & J. Mirecki-Millunchick	State University of New York - Buffalo
Joseph Roberts	Steady and Self-similar Solutions to Two-dimensional Hyperbolic Conservation Laws	V. Elling	Pennsylvania State University
Julian Rosen	The Arithmetic of Multiple Harmonic Sums	J. Lagarias	University of Waterloo
Burhan Sadiq (AIM)	Finite Difference Methods, Hermite Interpolation and Quasi-Uniform Spectral Schemes (QUSS)	D. Viswanath & J. Boyd	Johns Hopkins University
Zachary Scherr	Rational Polynomial Pell Equations	M. Zieve	University of Pennsylvania
Paul Shearer (AIM)	Separable Inverse Problems, Blind Deconvolution, and Stray Light Correction for Extreme Ultraviolet Solar Images	A. Gilbert, R. Frazin & A. Hero	University of Michigan
Yefeng Shen	Gromov-Witten Theory of Elliptic Orbifold Projective lines	Y. Ruan	Kavli IPMU
Mark Shoemaker	A Mirror Theorem for the Mirror Quintic	Y. Ruan	University of Utah
Jordan Watkins	The Rank Rigidity Theorem for Manifolds with No Focal Points	R. Spatzier
Zhixian Zhu	Topics in Singularities and Jet Schemes	M. Mustata	KIAS

2011 - 2012

Name	Dissertation Title	Advisor(s)	First Employment
Taeyong Ahn	Foliation Structure for Generalized Henon Mappings	J. Fornaess	POSTECH
Aubrey da Cunha	Turing Machines, Cayley Graphs, and Inescapable Groups	A. Blass	MathWorks
Elizabeth DeWitt	Identities Relating Schur s-Functions and Q-Functions	J. Stembridge	University of Maryland University College
Steven Flores (AIM)	Correlation Functions in Two-Dimensional Critical Systems with Conformal Symmetry	C. Doering & R. Ziff
Aurel (Mihai) Fulger	Local Volumes	R. Lazarsfeld	Princeton University
Max Glick	The Pentagram Map: Combinatorial and Geometric Perspectives	S. Fomin	Mathematical Sciences Research Institute
Ashley Holland (AIM)	Penalized Spline Estimation in the Partially Linear Model	V. Young & M. Cataneo	Grace College
Xueying Hu (AIM)	Essays in Financial and Insurance Mathematics	E. Bayraktar & H. Li	Goldman Sachs
Geri Izbicki Jennings (AIM)	Efficient Numerical Methods for Water Wave Propagation in Unbounded Domains	S. Karni & R. Beck	University of Massachusetts
Robin Lassonde	Splittings of Non-Finitely Generated Groups	G. P. Scott	East Agile
Michelle Lee	Dynamics on the PSL(2, C)-character variety of certain hyperbolic 3-manifolds	R. Canary	University of Maryland
Matthew Masarik (AIM)	Decay of Solutions to the Wave Equation in Static Spherically Symmetric Spacetimes	J. Smoller & M. Volonteri	SRI International
Lindsey McCarty (AIM)	Preemptive Rerouting of Airline Passengers under Uncertain Delays	D. Viswanath & A. Cohn	Cedarville University
Andrey Mishchenko	Rigidity of Thin Disk Configurations	J. Lagarias	UCLA IPAM
Ajinkya More	Symbolic Powers and other Contractions of Ideals in Noetherian Rings	M. Hochster	ZL Technologies Inc
Darragh Rooney (AIM)	Control of Finite-Dimensional Quantum Systems under Lindblad Dissipation	A. Bloch & C. Rangan	Universitat Wurzburg
Jordan Sahattchieve	Solutions to Two Open Problems in Geometric Group Theory	G. P. Scott	William Rainey Harper College
Dave Starinshak (AIM)	Level Set Methods for Radiative Shock Hydrodynamics	S. Karni & K. Powell	Lawrence Livermore National Laboratory
Michael Von Korff	The F-Signature and Frobenius Splitting on Toric Varieties	K. Smith	Reasoning Mind
Nina White	Bounds on Eigenvalues of the Laplace-Beltrami Operator for Certain Classes of Hyperbolic 3-manifolds	J. Souto & R. Canary	University of Michigan
Jared Whitehead (AIM)	Topics in Geophysical Fluid Dynamics	C. Doering & R. Rood	Los Alamos National Laboratory

2010 - 2011

Name	Dissertation Title	Advisor(s)	First Employment
Florian Block	Plane Curves, Node Polynomials, and Floor Diagrams	S. Fomin	University of Warwick
Eugene Eisenstein	Inversion of Adjunction in High Codimension	R. Lazarsfeld	Goldman Sachs
Matthew Elsey (AIM)	Algorithms for Multiphase Motion with Applications to Materials Science	S. Esedoglu & W. Lu	Courant Institute, NYU
Timothy Ferguson	Extremal Problems in Bergman Spaces	P. Duren	Vanderbilt University
Jose Gonzalez	Toric Projective Bundles	M. Mustata	University of British Columbia
Daniel Hernandez	$F$-Purity for Hypersurfaces	K. Smith	University of Minnesota
Gerardo Hernandez-Duenas	An Algebra of Singular Semi-classical Pseudodifferential Operators, and Numerical Methods for Shallow Water and Porous Media Flows	A. Uribe & S. Karni	University of Wisconsin
Brian Jennings (AIM)	Generalized Lagrangian States and Their Propagation in Bargmann Space	A. Uribe & E. Geva	Westfield State University
Harlan Kadish	Complexity in Invariant Theory	H. Derksen	Texas A&M University
Hyosang Kang	Cofinite Classifying Spaces for Lattices in R-Rank One Semisimple Lie Groups	L. Ji	Korea Institute for Advanced Study
Daniel Kneezel	Verlinde K-Theory	I. Kriz	Art of Problem Solving
Manuel Rodrigo Parra	Currents and Equidistribution in Holomorphic Dynamics	M. Jonsson	MathWorks
Ricardo Portilla	Finite Order Automorphisms and a Parametrization of Nilpotent Orbits in P-Adic Lie Algebras	S. DeBacker	Celerity
Austin Shapiro	Independence Models for Integer Points of Polytopes	A. Barvinok	Art of Problem Solving
Xinyun Sun	CM Lifting of Albelian Varieties	B. Conrad
Nathan Totz	A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem	S. Wu	Duke University
Chelsea Walton	On Degenerations and Deformations of Sklyanin Algebras	K. Smith & J. Stafford	University of Washington
Ting Wang (AIM)	Stochastic Analysis of Insurance Products	V. Young & H. Li	Goldman Sachs
Benjamin Weiss	Diophantine Equations with Two Separated Variables	J. Lagarias & M. Zieve	Technion
Emily Witt	Local Cohomology and Group Actions	M. Hochster	University of Minnesota
Qian Yin	Lattes Maps and Combinatorial Expansion	M. Bonk & M. Zieve	MSRI & University of Chicago
Hsu-Wen Young	Components of Algebraic Sets of Commuting and Nearly-Commuting N-Tuples of Matrices	M. Hochster	National Taiwan University
Crystal Zeager	The Azukawa Metric and the Pluricomplex Green Function	J. Fornaess	McKinsey & Co

2009 - 2010

Name	Dissertation Title	Advisor(s)	First Employment
Henry Boateng (AIM)	Cartesian Treecode Algorithms for Electrostatic Interactions in Molecular Dynamics Simulations	R. Krasny & E. Geva	University of Michigan
Elizabeth Chen	A Picturebook of Tetrahedral Packings	J. Lagarias	Harvard University
Jiarui Fei	General Presentations of Algebras	H. Derksen	University of California- Riverside
Johnson Jia	The Arithmetic of the Yoshida Lift	C. Skinner	PIMS/University of British Columbia
Brian Jurgelewicz	McKay's Correspondence for Klein's Quartic Curve	I. Dolgachev
Marc Krawitz	FJRW Rings and Landau-Ginzburg Mirror Symmetry	Y. Ruan	McKinsey & Company
Catherine Kublik (AIM)	Topics in PDE-Based Image Processing	S. Esedoglu & J. Fessler	University of Texas at Austin
Victor Lozovanu	Invariants in Algebraic Geometry	R. Lazarsfeld	Queen’s University
Johanna Mangahas	A Recipe for Short-word Pseudo-Anosovs, and More	J. Souto	Brown University
Tomoki Ohsawa (AIM)	Nonholonomic and Discrete Hamilton-Jacobi Theory	A. Bloch & L. Pando-Zayas	University of California at San Diego
Kyle Ormsby	Computations in Stable Motivic Homotopy Theory	I. Kriz	Massachusetts Institute of Technology
Felipe Ramirez	Smooth Cocycles over Homogeneous Dynamical Systems	R. Spatzier	University of Bristol, UK
Nicholas Rupprecht	Effective Correspondents to Cardinal Characteristics in Cichon's Diagram	A. Blass	Virtu Financial LLC
Luis Serrano	Non-Commutative Schur P-Functions and the Shifted Plactic Monoid	S. Fomin	University of Quebec at Montreal
Sourya Shrestha (AIM)	Modeling Transmission and Evolutionary Dynamics of the Infectious Diseases	P. Nelson & A. King	University of Michigan
Kelli Talaska	Positivity in Real Grassmannians: Combinatorial Formulas	S. Fomin	University of California at Berkeley
Kevin Tucker	Jumping Numbers and Multiplier Ideals on Algebraic Surfaces	K. Smith	University of Utah
Lei Wang (AIM)	Radial Basis Functions and Vortex Methods and their Application to Vortex Dynamics on a Rotating Sphere	R. Krasny & J. Boyd	Argonne National Laboratory
Marshall Williams	Metric Currents and Differentiable Structures	M. Bonk & J. Heinonen	University of Illinois at Chicago
Brian Wyman	Polynomial Decomposition over Rings	M. Zieve	PNYLAB, LLC
Zhenjie Xu (AIM)	Asymptotic Analysis and Numerical Analysis of the Benjamin-Ono Equation	P. Miller & J. Boyd	Bloomberg

2008 - 2009

Name	Dissertation Title	Advisor(s)	First Employment
Tigran Ananyan	Topics in Tight Closure Theory	M. Hochster	Adrian College
David Anderson	Degeneracy and G_2 Flags	W. Fulton	University of Washington
Arvind Baskaran (AIM)	Modeling and Simulation of Hetero-epitaxial Growth	P. Smereka & K. Garikipati	Institute for Pure and Applied Mathematics at UCLA
Jonathan Bober	Integer Ratios of Factorials, Hypergeometric Series, and Related Step Functions	J. Lagarias	Institute for Advanced Study
Katarina Bodova (AIM)	Topics in Applied Stochastic Dynamics	C. Doering & A. Amirdjanova	Comenius University
David Constantine	Hyperbolic Rank-Rigidity and Compact Forms of Homogeneous Spaces	R. Spatzier	University of Chicago
Ellen Eischen	P-adic Differential Operators on Automorphic Forms and Applications	N. Ramsey & C. Skinner	Northwestern University
Oscar Fernandez (AIM)	The Hamiltonization of Nonholonomic Systems and its Applications	A. Bloch & A. Rojo	University of Michigan
Leo Goldmakher	Multiplicative Mimicry and Improvements of the Polya-Vinogradov Theorem	J. Lagarias & K. Soundararajan	University of Toronto
Russell Golman (AIM)	Essays on Population Learning Dynamics and Boundedly Rational Behavior	A. Blass & S. Page	Carnegie Mellon University
Hester Graves	On Euclidean Ideal Classes	N. Ramsey	Queen’s University
Christopher Hammond	Invariants of Transformation Groups Acting on Real Hypersurfaces in Complex Spaces	D. Barrett	Texas A&M University
Kyle Hoffman	Triangulation of Locally Semi-Algebraic Spaces	M. Mustata	National Security Agency
Paul Johnson	Equivariant Gromov-Witten Theory of One Dimensional Toric Stacks	Y. Ruan	Imperial College
Shin-Yao Jow	Mori Dream Spaces and Okounkov Bodies	R. Lazarsfeld	University of Pennsylvania
Wansu Kim	Galois Deformation Theory for Norm Fields and its Arithmetic Applications	B. Conrad & S. DeBacker	Imperial College
Ryan Kinser	Rank Functors and Representation Rings of Quivers	H. Derksen	University of Connecticut
Cagatay Kutluhan	Floer Homology and Symplectic Forms on S^1 X M^3	D. Burns	MSRI
Michael Lieberman	Topological and Category-Theoretic Aspects of Abstract Elementary Classes	A. Blass	University of Pennsylvania
Aaron Magid	Deformation Spaces of Kleinian Surface Groups are not Locally Connected	R. Canary	University of Maryland
Ray Maleh (AIM)	Fast Sparse Approximation Algorithms for Medical Imaging	A. Gilbert & J. Fessler	L3 Communications
Jessica Metcalf-Burton	Information Rates for Secret Sharing Over Various Access Structures	A. Blass
Marie Snipes	Flat Forms in Banach Spaces	M. Bonk & J. Heinonen	Kenyon College
Alan Stapleton	The Geometry and Combinatorics of Ehrhart $\delta$-Vectors	M. Mustata	MSRI
Richard Vasques (AIM)	Anisotropic Diffusion of Neutral Particles in Stochastic Media	C. Doering & E. Larsen	McKinsey & Company
Liz Vivas	Fatou Bieberbach Domains and Automorphisms Tangent to the Identity	B. Stensones	Purdue University
Michael Weiss	Mathematical Sense, Mathematical Sensibility: The Role of the secondary Geometry Course in Teaching Students to be like Mathematicians	H. Bass	Oakland University
Hao Xing	Analysis of the Option Prices in Jump Diffusion Models	E. Bayraktar	London School of Economics

2007 - 2008

Name	Dissertation Title	Advisor(s)	First Employment
Amy Bauer (AIM)	A Multi-Scale Cell-Based Model to simulated and Elucidate the Mechanisms Controlling Tumor-Induced Angiogenesis	T. Jackson & Y. Jiang	Los Alamos National Laboratory
Oscar Felgueiras	The Ample Cone for a Morphism	R. Lazarsfeld	Universidade do Porto
Sara Gentry (AIM)	Mathematical Modeling of Mutation Acquisition in Hierarchical Tissues: Quantification of the Cancer Stem Cell Hypothesis	T. Jackson & S. Morrison	University of Michigan
Jose Gomez-Guerra	Models of Twisted K-Theory	I. Kriz	University of British Columbia
Jasun Gong	Derivations on Metric Measure Spaces	M. Bonk & J. Heinonen	University of Pittsburgh
Mark Iwen (AIM)	Algorithmic Compressed Sensing with Applications	M. Strauss & J. Patel	Institute for Mathematics and its Applications
Harsh Jain	Quantitative Modeling of Molecular Pathways Associated with Intratumoral Angiogensis	T. Jackson	Johann Wolfgang Goethe University
Jason Kutch (AIM)	Signal in Human Motor Unsteadiness: Detecting the Action and Activity of Muscles	A. Bloch & A. Kuo	University of Southern California
KyungYong Lee	On Realization of Line Arrangements as Multiplier Ideals	R. Lazarsfeld	Purdue University
John MacKay	Conformal Dimension and the Quasisymmetric Geometry of Metric Spaces	B. Kleiner	University of Illinois at Urbana-Champaign
Jared Maruskin (AIM)	On the Dynamical Propagation of Subvolumes and on the Geometry and Variatioinal Principles of Nonholonomic Systems	A. Bloch & D. Scheeres	San Jose State University
Yogesh More	Arc Valuations on Smooth Varieties	K. Smith	University of Missouri
Hannah Robbins	Finiteness of Associated Primes of Local Cohomology Modules	M. Hochster	Wake Forest University
Susan Sierra	The Geometry of Birationally Commutative Graded Domains	J. Stafford	University of Washington
Craig Spencer	Analytic Methods for Diophantine Problems	T. Wooley	Institute for Advanced Study
Joe Stubbs	Potent Elements and Tight Closure in Artinian Modules	M. Hochster	University of Texas-Austin
Giancarlo Urzua	Arrangements of Curves and Algebraic Surfaces	I. Dolgachev	University of Massachusetts at Amherst
Diane Vavrichek	Accessibility and JSJ Decompositions of Groups	G. P. Scott	The State University of New York
Bo Yang	Application of Perturbation Methods to Pricing Credit and Equity Derivatives	E. Bayraktar	Morgan Stanley

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