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# Recent Ph.D. Recipients

The following is a list of the Ph. D. degrees awarded 2007-2019 including the title of the dissertation, the thesis advisor(s) and when possible, the first place of employment.

### 2021-2022

 Name Dissertation Title Advisor(s) First Employment Christina Athanasouli Analyzing perturbations of sleep-wake dynamics using bifurcation theory and circle maps Booth Georgia Institute of Technology Jack Carlisle Equivariant complex cobordism and geometric orientations Kriz Notre Dame University Yiwang Chen Some Results On Homogeneity results for GLn DeBacker 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 McGill University Peter Dillery Rigid inner forms over function fields Kaletha University of Maryland Aleksander Horawa Motivic action on coherent cohomology of Hilbert modular varieties Prasanna Oxford University Yifeng Huang Topics on Equations in Noncommutative Rings and Motivic Aspects of Moduli Spaces Zieve 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 Curried algebras and the representation theory of inverse monoids Snowden Jump Trading, LLC Benjamin Krakoff Duality and Hardy Spaces on Levi-Flat Domains with Corners Barrett SIG, LLC Jason Liang Vinberg Theory and 2-Descent on Jacobians of Curves Ho Yunze Lu On the Coefficients of some Nonabelian Equivariant Cohomology Theories Kriz University of California - San Diego Christiana Mavroyiakoumou Membrane flutter in inviscid fluid flow. Alben & Duraisamy NYU Shubhodip Mondal G_a-perf -modules and de Rham cohomology Bhatt Max Planck Institute Khoa Nguyen M-theory on G2 manifold Moduli to phenomenology Ji & Gordon Amazon, Inc. Jenia Rousseva Reduction and Propagation of Coherent States in Bargmann Spaces Uribe & Aidala Nawaz Sultani Gromov-Witten Theory of Non-Convex Complete Intersections Pixton Academia Sinica 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, Inc.

### 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 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  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

 Susquehanna International Group, LLP (SIG) 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 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
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
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
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
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