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The following is a list of the Ph. D. degrees awarded 20072019 including the title of the dissertation, the thesis advisor(s) and when possible, the first place of employment.
20212022
Name  Dissertation Title  Advisor(s)  First Employment 
Jack Carlisle  Equivariant complex cobordism and geometric orientations  Kriz  Notre Dame University 
Yiwang Chen  Some Results On Homogeneity results for GLn  DeBacker  Youtube, LLC 
Elizabeth CollinsWoodfin  Free Energy and Overlaps of a Spherical Spin Glass with an External Field  Baik  McGill University 
Yifeng Huang  Topics on Equations in Noncommutative Rings and Motivic Aspects of Moduli Spaces  Zieve  University of British Columbia 
Benjamin Krakoff  Duality and Hardy Spaces on LeviFlat Domains with Corners  Barrett  SIG, LLC 
Yunze Lu  On the Coefficients of some Nonabelian Equivariant Cohomology Theories  Kriz  University of California  San Diego 
Khoa Nguyen  Mtheory on G2 manifold Moduli to phenomenology  Ji & Gordon  Amazon, Inc. 
Ryan Sandberg  Vlasov simulation with FARSIGHT and unlimited photon acceleration  Krasny & Thomas  Lawrence Berkeley National Lab 
Jack Wakefield  Macroscopic Traffic Models with Behavior Variation Driven by Noise  Karni & Saigal  University of Michigan 
20202021
20192020
20182019
20172018
20162017
20152016
20142015
2013  2014
Name  Dissertation Title  Advisor(s)  First Employment 

Harry Altman  Integer Complexity, Addition Chains, and Well Ordering  J. Lagarias  
Jeffrey Calder (AIM)  HamiltonJacobi 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 WGraphs Arising in KazhdanLusztig Theory  J. Stembridge  University of Minnesota 
Emily Clader  The LandauGinzburg/CalabiYau 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 TwoDimensional 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 LandauGinzburg/CalabiYau Correspondence for the Mirror Quintic  Y. Ruan  Leibniz University of Hannover 
Mario Riolo (AIM)  Topics in Structured HostAntagonist 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 EulerPoisson 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 pADIC LFunctions  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)  ValueAtRisk (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 
YuJui 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 ArtinSchreier Curves  M. Zieve  Less Annoying Software 
Luis Nunez Betancourt  Finiteness Properties of Local Cohomology  M. Hochster  University of Virginia 
KristoferRoy Reyes (AIM)  Fast Kinetic Monte Carlo Simulations: Theory, Implementation and Applications  P. Smereka & J. MireckiMillunchick  State University of New York  Buffalo 
Joseph Roberts  Steady and Selfsimilar Solutions to Twodimensional 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 QuasiUniform 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  GromovWitten 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 sFunctions and QFunctions 
J. Stembridge  University of Maryland University College 
Steven Flores (AIM) 
Correlation Functions in TwoDimensional 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 NonFinitely Generated Groups 
G. P. Scott  East Agile 
Michelle Lee  Dynamics on the PSL(2, C)character variety of certain hyperbolic 3manifolds  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 FiniteDimensional 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 FSignature and Frobenius Splitting on Toric Varieties  K. Smith  Reasoning Mind 
Nina White 
Bounds on Eigenvalues of the LaplaceBeltrami Operator for Certain Classes of Hyperbolic 3manifolds  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 HernandezDuenas  An Algebra of Singular Semiclassical 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 RRank One Semisimple Lie Groups  L. Ji  Korea Institute for Advanced Study 
Daniel Kneezel  Verlinde KTheory  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 PAdic 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 
HsuWen Young  Components of Algebraic Sets of Commuting and NearlyCommuting NTuples 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 LandauGinzburg Mirror Symmetry  Y. Ruan  McKinsey & Company 
Catherine Kublik (AIM)  Topics in PDEBased 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 Shortword PseudoAnosovs, and More  J. Souto  Brown University 
Tomoki Ohsawa (AIM)  Nonholonomic and Discrete HamiltonJacobi Theory  A. Bloch & L. PandoZayas  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  NonCommutative Schur PFunctions 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 BenjaminOno 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 Heteroepitaxial 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 RankRigidity and Compact Forms of Homogeneous Spaces  R. Spatzier  University of Chicago 
Ellen Eischen  Padic 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 PolyaVinogradov 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 SemiAlgebraic Spaces  M. Mustata  National Security Agency 
Paul Johnson  Equivariant GromovWitten Theory of One Dimensional Toric Stacks  Y. Ruan  Imperial College 
ShinYao 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 CategoryTheoretic 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 MetcalfBurton  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 MultiScale CellBased Model to simulated and Elucidate the Mechanisms Controlling TumorInduced 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 GomezGuerra 
Models of Twisted KTheory  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 UrbanaChampaign 
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 TexasAustin 
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 