Recent Michigan Ph.D.'s in Mathematics The following is a list of the Ph. D. degrees awarded in the years 2005 - 2009 ( in descending order) including the title of the dissertation, the thesis advisor and when possible, the first place of employment. 2009 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 Modeling and Simulation of Hetero-epitaxial Growth (P. Smereka) 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 Topics in Applied Stochastic Dynamics (C. Doering) 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 The Hamiltonization of Nonholonomic Systems and its Applications (A. Bloch) University of Michigan Leo Goldmakher Multiplicative Mimicry and Improvements of the Polya-Vinogradov Theorem (J. Lagarias/K. Soundararajan) University of Toronto Russell Golman Essays on Population Learning Dynamics and Boundedly Rational Behavior (A. Blass) 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 Hofmann 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 Fast Sparse Approximation Algorithms for Medical Imaging (A. Gilbert) 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 Stapledon The Geometry and Combinatorics of Ehrhart $\delta$-Vectors (M. Mustata) MSRI Richard Vasques Anisotropic Diffusion of Neutral Particles in Stochastic Media (C. Doering) 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) Boston University 2008 Amy Bauer A Multi-Scale Cell-Based Model to simulated and Elucidate the Mechanisms Controlling Tumor-Induced Angiogenesis (T. Jackson) Los Alamos National Laboratory Oscar Felgueiras The Ample Cone for a Morphism (R. Lazarsfeld) Universidade do Porto Sara Gentry Mathematical Modeling of Mutation Acquisition in Hierarchical Tissues: Quantification of the Cancer Stem Cell Hypothesis (T. Jackson) 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 Algorithmic Compressed Sensing with Applications (M. Strauss) Institute for Mathematics and its Applications Harsh Jain Quantitative Modeling of Molecular Pathways Associated with Intratumoral Angiogensis  (T. Jackson) Frankfurt Institute of Advanced Studies, Johann Wolfgang Goethe University Jason Kutch Signal in Human Motor Unsteadiness: Detecting the Action and Activity of Muscles (A. Bloch) 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 On the Dynamical Propagation of Subvolumes and on the Geometry and Variatioinal Principles of Nonholonomic Systems (A. Bloch) 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) 2007 Mahesh Agarwal p-L function for $GSp(4)/times GL(2) (C. Skinner) McMaster University Bryden Cais Correspondences, Integral Structures, and Compatibilities in p-adic Cohomology (B. Conrad) McGill University Mark Conger Shuffling Decks with Repeated Card Values (D. Viswanath) University of Michigan Sarah Crown The Homology of the Cyclic Coloring Complex of Simple Graphs (P. Hanlon) Denison University Hualong Feng Vortex Sheet Simulations of 3D Flows Using an Adaptive Triangular Panel/Particle Method (R. Krasny) Huaihai Institute of Technology Sukmoon Huh Modulil Spaces of Stable Sheaves on a Plane and an Embedded curve (I. Dolgachev) University of Zurich, Switzerland Paul Jeray Explicit Matrix Representations for Type D Coexeter Groups (Stembridge) Rolls Royce Rizwanur Khan Non-Vanishing of the Symmetric Square L-function (K. Soundararajan) University of Southern California Hyekyung Min Stochastic Control Models of Optimal Dividend and Capital Financing (J. Conlon) University of California Santa Barbara Charles Mueller On the Varieties of Pairs of Matrices Whose Product is Symmetric (M. Hochster) Hawaii Pacific University Alvaro Pelayo Symplectic Torus Actions (A. Uribe) Massachusetts Institute of Technology Feng Rong Critically Finite Maps, Attractors and Local Dynamics (J. Fornaess) Syracuse University Khachik Sargsyan First Passage Times in the Near-Continuum Limit of Birth-Death Processes (C. Doering) Sandia National Labs Matthew Smith On Solution-Free Sets for Simultaneous Additive Equations (T. Wooley) University of Georgia Andrew Stein Mathematical Models for Glioblastoma Invasion in Vitro (T. Jackson) University of Minnesota Janis Stipins On Finite k-Nets in the Complex Projective Plane (I. Dolgachev) Google, New York Ellen Veomett The Computational Complexity of Convex Bodies (A. Barvinok) California State University Kevin Wildrick Quasisymmetric Parameterizations of Two-Dimensional Metric Spaces (M. Bonk) University of Jyvaskyla Eric Zupunski A Bound on the Complexity of the JSJ Decomposition in the Bounded Case (G.P. Scott) 2006 Ilesanmi Adeboye Volumes of Hyperbolic Orbifold (R. Canary) University of Southern California Alina Andrei The Parameter Space of Quadratic Polynomial Maps on C2 (J. Fornaess) University of Wisconsin Trevor Arnold Anticyclotomic Iwasawa Theory for Modular Forms (C. Skinner) University of Washington Yann Bernard The Coupling of Gravity to Yang-Mills Fields and Fermions in Static Spherically Symmetric Spacetimes (J. Smoller) ETH Zurich, Switzerland Sebastien Chivoret Properties of Multiple Stochastic Integrals with Respect to Fractional Brownian Motion and Applications to Nonlinear Filtering (C. Doering) Goldman Sachs, England Jungmin Choi Partial Hedging in Financial Markets with a Large Agent (M. Jonsson) Florida State University Serban Costea Strong A¥ -Weights and Scaling Invariant Besov and Sobelev-Lorentz Capacities (J. Heinonen) McMaster University Hailong Dao Homological Properties of Modules over Complete Intersections (M. Hochster) University of Utah Peng Gao N-Level Density of the Low-Lying Zeros of Quadratic Dirichlet L-Functions (H. Montgomery) University of Montreal Milena Hering Syzygies of Toric Varieties (W. Fulton) Institute for Mathematics & its Applications Minneapolis Research Thiradet Jiarasuksakun On Expander Graphs and Hypergraphs (A. Blass) King Mongkut’s University of Technology, Bangkok Leon Kaganovskiy Adaptive Hierarchical Tree-Based Panel Method for 3-D Vortex Sheet Motion (R. Krasny) New College of Florida Bart Kastermans Cofinitary Groups and Other Almost Disjoint Families of Reals (A. Blass) University of Wisconsin Krzysztof Klosin Congruences Among Automorphic Forms of the Unitary Group U(2,2) (C. Skinner) University of Utah Nam-Hoon Lee Constructive Calabi-Yau Manifolds (I. Dolgachev) Korea Institute for Advanced Study William Lorenz A Self-Adaptive random Walk Algorithm to Identify Genetic Epistatic Effects (P. Hanlon) Boston College Lu Lu Bounds on the Enstrophy Growth Rate for Solutions of the 3D Navier-Stokes Equations (C. Doering) Wachovia Capital Markets, New York, NY Afsaneh Mehran Even Eights on a Kummer Surface (C. Dolgachev) University of Geneva, Switzerland Samuel Payne Toric Vector Bundles (W. Fulton) Stanford University Benjamin Schmidt Weakly Hyperbolic Group Actions (R. Spatzier) University of Chicago Sreekar Shastry The Drinfeld Modular Jacobian J1 (N) Has Connected Fibers (B. Conrad) Tata Institute for Fundamental Research, India Cornelia Yuen Jet Schemes and Truncated Wedge Schemes (K. Smith) The State University of New York 2005 Tobias Berger An Einstein Ideal for Imaginary Quadratic Fields (C. Skinner) Cambridge, Queen’s College Erik Bird A Proof of Existence of Particle-Like Solutions to Einstein-Dirac Equations (J. Smoller) Michigan State University Grigoriy Blekherman Convex Geometry of Orbits (A. Barvinok) Microsoft Corporation Jim Brown Saito-Kurokawa Lifts, L-Values for GL2, and Congruencies Between Siegel Modular Forms (C. Skinner) Ohio State University   Calin Chindris The Cone of Effective Weights for Quivers and Horn Type Problems (H. Derksen) University of Minnesota Mihaela Ciupe Development and Applications of Mathematical Tools in Models of Infectious Diseases and Biological Phenomenon (P. Nelson) Duke University Geoffrey Dietz Closure Operations in Positive Characteristic and Bi Cohen-Macaulay Algebras (M. Hochster) Gannon University Thomas Fiore Pseudo Limits, Bi-Adjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory (I. Kriz) University of Chicago Jonathan Forde Delay Differential Equation Models in Mathematical Biology (P. Nelson) Hobart and William Smith Colleges Tong Liu Potentially Good Reduction of Barsotti-Tate Groups (B. Conrad) University of Pennsylvania Constantin Leonardo Mihalcea Equivariant Quantum Cohomology of Homogeneous Spaces (W. Fulton) Duke University Quang Minh Nguyen Dualities and Classical Geometry of the Moduli Space of Vector Bundles of Rank 3 on a Curve of Genus 2 (I. Dolgachev) San Francisco University High School Han Peters Non-Autonomous Complex Dynamical Systems (J. Fornaess) University of Wisconsin Zachariah Teitler Multiplier Ideals of Line Arrangements (R. Lazarsfeld) Southeastern Louisiana University Yan-Chun James Tung Fock Spaces (P. Duren) Michigan State Alexandre Wolfe Asymptotic Invariants of Graded Systems of Ideals and Linear Systems on Projective Bundles  (R. Lazarsfeld) Alleghany College