Recent Michigan Ph.D.'s in Mathematics The following is a list of the Ph. D. degrees awarded in the years 1999 - 2007 ( in descending order) including the title of the dissertation, the thesis advisor and when possible, the first place of employment. 2007 Mahesh Agarwal $p$-L function for $GSp(4)/times GL(2)$ (C. Skinner, 2007) McMaster University Bryden Cais Correspondences, Integral Structures, and Compatibilities in p-adic Cohomology (B. Conrad, 2007) Centre de Reserches Mathematiques Mark Conger Shuffling Decks with Repeated Card Values (D. Viswanath, 2007) Sarah Crown The Homology of the Cyclic Coloring Complex of Simple Graphs (P. Hanlon, 2007) Denison University Hualong Feng Vortex Sheet Simulations of 3D Flows Using an Adaptive Triangular Panel/Particle Method (R. Krasny, 2007) Huaihai Institute of Technology Sukmoon Huh Modulil Spaces of Stable Sheaves on a Plane and an Embedded curve (I. Dolgachev, 2007) Korea Institute for Advanced Study Rizwanur Khan Non-Vanishing of the Symmetric Square L-function (K. Soundararajan, 2007) University of Southern California Hyekyung Min Stochastic Control Models of Optimal Dividend and Capital Financing (J. Conlon, 2007) University of California Santa Barbara Charles Mueller On the Varieties of Pairs of Matrices Whose Product is Symmetric (M. Hochster, 2007) Alvaro Pelayo Symplectic Torus Actions (A. Uribe, 2007) Massachusetts Institute of Technology Feng Rong Critically Finite Maps, Attractors and Local Dynamics (J. Fornaess, 2007) Syracuse University Khachik Sargsyan First Passage Times in the Near-Continuum Limit of Birth-Death Processes (C. Doering, 2007) Sandia National Labs Matthew Smith On Solution-Free Sets for Simultaneous Additive Equations (T. Wooley, 2007) University of Georgia Andrew Stein Mathematical Models for Glioblastoma Invasion in Vitro (T. Jackson, 2007) University of Minnesota Janis Stipins On Finite k-Nets in the Complex Projective Plane (I. Dolgachev, 2007) Google, New York Ellen Veomett The Computational Complexity of Convex Bodies (A. Barvinok, 2007) California State University Kevin Wildrick Quasisymmetric Parameterizations of Two-Dimensional Metric Spaces (M. Bonk, 2007) University of Jyvaskyla Eric Zupunski A Bound on the Complexity of the JSJ Decomposition in the Bounded Case (G.P. Scott, 2007)   2006   Ilesanmi Adeboye: (Canary), “Volumes of Hyperbolic Orbifolds,” University of southern California, Los Angeles, CA Alina Andrei: (Fornaess), “The Parameter Space of Quadratic Polynomial Maps on C2,” University of Wisconsin, Madison, WI Trevor Arnold: (Skinner), “Anticyclotomic Iwasawa Theory for Modular Forms,” University of Washington, Seattle, WA Yann Bernard: (Smoller), “The Coupling of Gravity to Yang-Mills Fields and Fermions in Static Spherically Symmetric Spacetimes,” ETH Zurich, Zurich, Switzerland Sebastien Chivoret: (Doering), “Properties of Multiple Stochastic Integrals with Respect to Fractional Brownian Motion and Applications to Nonlinear Filtering,” Goldman Sachs, London, England Jungmin Choi: (Jonsson), “Partial Hedging in Financial Markets with a Large Agent.” Serban Costea: (Heinonen), “Strong A¥ -Weights and Scaling Invariant Besov and Sobelev-Lorentz Capacities.” McMaster University, Ontario, Canada Hailong Dao: (Hochster), “Homological Properties of Modules over Complete Intersections.” University of Utah, Salt Lake City, UT Peng Gao: (Montgomery), “N-Level Density of the Low-Lying Zeros of Quadratic Dirichlet L-Functions,” University of Montreal, Montreal, Canada Milena Hering: (Fulton), “Syzygies of Toric Varieties,” Institute for Mathematics & its Applications Minneapolis Research, Minneapolis, MN Thiradet Jiarasuksakun: (Blass), “On Expander Graphs and Hypergraphs.” King Mongkut’s University of Technology, Thonburi, Bangkok Leon Kaganovskiy: (Krasny), “Adaptive Hierarchical Tree-Based Panel Method for 3-D Vortex Sheet Motion,” New College of Florida, Sarasota, FL Bart Kastermans: (Blass), “Cofinitary Groups and Other Almost Disjoint Families of Reals,” University of Wisconsin, Madison, WI Krzysztof Klosin: (Skinner), “Congruences Among Automorphic Forms of the Unitary Group U(2,2),” University of Utah, Salt Lake City, UT Nam-Hoon Lee: (Dolgachev), “Constructive Calabi-Yau Manifolds,” Korea Institute for Advanced Study, Seoul, South Korea                                                                           William Lorenz: (Hanlon), “A Self-Adaptive random Walk Algorithm to Identify Genetic Epistatic Effects.” Lu Lu: (Doering), “Bounds on the Enstrophy Growth Rate for Solutions of the 3D Navier-Stokes Equations,” Wachovia Capital Markets, New York, NY Afsaneh Mehran: (Dolgachev), “Even Eights on a Kummer Surface,” University of Geneva, Geneva, Switzerland Samuel Payne: (Fulton),  “Toric Vector Bundles,” Clay Mathematics Institute, Cambridge, MA Benjamin Schmidt: (Spatzier), “Weakly Hyperbolic Group Actions,” University of Chicago, Chicago, IL    Sreekar Shastry: (Conrad), “The Drinfeld Modular Jacobian J1 (N) Has Connected Fibers,” Tata Institute for Fundamental Research, Mumbai, India Cornelia Yuen: (Smith), “Jet Schemes and Truncated Wedge Schemes,” University of Kentucky, Lexington, KY   2005 Tobias Berger: (Skinner), "An Einstein Ideal for Imaginary Quadratic Fields." Max-Planck Institute, Bonn, Germany Erik Bird: (Smoller), "A Proof of Existence of Particle-Like Solutions to Einstein-Dirac Equations." Grigoriy Blekherman: (Barvinok), "Convex Geometry of Orbits." Microsoft Corporation. Jim Brown: (Skinner), "Saito-Kurokawa Lifts, L-Values for GL2, and Congruencies Between Siegel Modular Forms." Ohio State University. Calin Chindris: (Derksen), "The Cone of Effective Weights for Quivers and Horn Type Problems." University of Minnesota. Mihaela Ciupe: (Nelson), "Development and Applications of Mathematical Tools in Models of Infectious Diseases and Biological Phenomenon." Los Alamos National Lab/Santa Fe Institute. Geoffrey Dietz: (Hochster), "Closure Operations in Positive Characteristic and Bi Cohen-Macaulay Algebras." University of Oklahoma. Thomas Fiore: (Kriz), "Pseudo Limits, Bi-Adjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory." University of Chicago. Jonathan Forde: (Nelson), “Delay Differential Equation Models in Mathematical Biology.” University of Utah. Tong Liu: (Conrad), “Potentially Good Reduction of Barsotti-Tate Groups.” University of Pennsylvania. Constantin Leonardo Mihalcea: (Fulton), “Equivariant Quantum Cohomology of Homogeneous Spaces.” Florida State University. Quang Minh Nguyen: (Dolgachev), “Dualities and Classical Geometry of the Moduli Space of Vector Bundles of Rank 3 on a Curve of Genus 2. Han Peters: (Fornaess), “Non-Autonomous Complex Dynamical Systems.” University of Wisconsin Zachariah Teitler: (Lazarsfeld), “Multiplier Ideals of Line Arrangements.” Southeastern Louisiana University. Yan-Chun James Tung: ( Duren ), “Fock Spaces.” Alexandre Wolfe: (Lazarsfeld), “Asymptotic Invariants of Graded Systems of Ideals and Linear Systems on Projective Bundles.” 2004 Sylvia-Pek Chiang Vacuum State Problems of Different Systems of Conservation Laws (J. Smoller, 2004) Temasek Laboratories, National University of Singapore, Singapore Georgios Dalakouras A New Fast and Robust Technique for Pricing and Hedging Asian Options (K. Moore, 2004) Susquehanna International Group, Philadelphia, PA Benjamin Keen A Kinetic Scheme for Gas Dynamics on Arbitrary Grids (S. Karni, 2004) Institute for Defense Analysis/Center for Computing Sciences, Bowie, MD Christopher Kennedy An Exploration of Deep Matrix Algebras (D. Winter, 2004) Scott Kravitz The Homology of a Filtered Boolean Algebra (P. Hanlon, 2004) Alex Kuronya Asmptotic Cohomological Functions on Projective Varieties (R. Lazarsfeld, 2004) Universitat Duisburg-Essen, Essen, Germany Krastio Lilov Skew Products (J. Fornaess, 2004) Department of Mathematics, Stony Brook University, New York Boris Mitavskiy A Mathematical Model of Evolutionary Computation and Some Consequences (A. Blass, 2004) Department of Computer Science, University of Birmingham, United Kingdom Craig Christopher Westerland Stable Splittings of Configuration Spaces of Surfaces and Related Mapping Spaces (I. Kriz, 2004) School of Mathematics, Institute for Advanced Study, Princeton, New Jersey Kevin Woods Rational Generating Functions and Lattice Point Sets (A. Barvinok, 2004) Department of Mathematics, University of California, Berkeley, California 2003 Jason Aubrey Pseudo-Dominating Families of Functions (A. Blass, 2003) Northern Iowa University Dean Chung Computation of Cache Misses in Matrix Multiplication (P. Hanlon, 2003) Quadstone Inc.> Haggai Elitzur Tight Closure in Artinian Modules (M. Hochster, 2003) Erik Ferragut Detection of Epistatic Effects in Genetic Data (P.Hanlon, 2003) Julia Gordon Some Applications of Motivic Integration to the Representation Theory of P-Adic Groups. (R. Griess, T. Hales, 2003) University of Toronto Theron Hitchman Rigidity theorems for large dynamical systems with hyperbolic behavior (R. Spatzier, 2003) Case Western Reserve University Amanda Johnson Multiplier Ideals of Determinantal Ideals ( K. Smith, 2003) National Security Agency Daniel Jupiter Envelopes of Holomorphy and Approximation Theorems (B. Stensones, 2003) Texas A & M University Elizabeth Klodginski Essential Surfaces in Fibered 3-Manifolds (P. Scott, 2003) University of California-Davis Elliot Lawes Motivic Integration and the Regular Shalika Germ (T. Hales, 2003) University of Michigan Mihran Papikian Optimal Elliptic Curves, Discriminants, and the Degree Conjecture over Function Fields (B. Conrad, 2003) Stanford University Marko Slapar Real Surfaces in Complex Surfaces (J. Fornaess, 2003) University of Ljubljana Peter Storm The Barycenter Method on Singular Spaces (R. Canary, 2003) University of Chicago Ronald Walker Concerning the Characterization of Boundaries of Holomorphic 1-Chains Within Complex Surfaces (D. Barrett, 2003) Ohio State University Alexander Yong On combinatorics of degeneracy loci and H*(G/B) (S. Fomin , 2003) University of California-Berkeley 2002 Morgen Bills On homomorphisms of Brauer Algebra Modules in the Non-Semisimple Case (P. Hanlon, 2002) National Security Agency Tszho Chan Pair Correlation and Distribution of Prime Numbers (H. Montgomery, 2002) Case Western University Seung-Il Choi Degenerate Principal Series for Exceptional p-adic Groups (A. Moy, 2002) William Correll, Jr. The Smith Normal Form and Kernel of the Varchenk Matrix (P. Hanlon, 2002) Veridian Daniel Haas A Geometric Study of the Toric Varieties Determined by the Root System An, Bn, and Cn (M. Roth, 2002) Zair Ibragimov The Apollonian Metric Sets of Constant Width and Mobius Modulud of Ring Domains (F. Gehring, 2002) Texas A&M University Marius Irgens Properties of Square Integrable Holomorphic Functions (J. Fornaess, 2002) Norwegian University of Science & Technology-Trondheim Stephen Keith A Differentiable Structure For Metric Measure Spaces (J. Heinonen, 2002) Eduard-Wilhelm Kirr Resonances in Hamiltonian Partial Differential Equations (A. Bloch, 2002) University of Chicago <Jonathan Korman A Character Formula for Compact Elements Using the Building (T. Hales, A. Moy, 2002) Jean-Francois Lafont Rigidity results for singular metric spaces (R. Spatzier, 2002) State University of New York-Binghampton Jianfeng Liang Nonlinear Hyberbolic Smoothing at a Focal Point (J. Rauch, 2002) Northwestern University Jesse Otero Bounds for the heat transport in turbulent convection (C. Doering, 2002) Ohio State University Joel Hyuck-Choon Pitkin A Twisted Kazhdan Density Theorem: An Application of the Stabilized Twisted Trace Formula (T. Hales, 2002) Daniel Rogalski Examples of Generic Noncommutative Surfaces (J. Stafford, 2002) University of Washington Kevin Rogovin Local compactedness and closedness of families of A-harmonic functions (J. Heinonen, 2002) University of Jyvaskyla Jessica Sidman On the Castelnuovo-Mumford Regularity of Subspace Arrangements (H. Derksen, R. Lazarsfeld, , 2002), University of California-Berkeley Tamon Stephen The Distribution on Values in Combinatorial Optimization Problems (A. Barvinok, 2002) Institute for Mathematics and its Applications (IMA) 2001 Manuel Blickle The Intersection Homology D-Module in Finite Characteristic (K. Smith, 2001) University of Essen Dariush Ehsani The Solution of the d-bar Neumann Problem on Non-Smooth Model Domains (D. Barrett, 2001) Texas A&M Florian Enescu A Study of F-rationality and F-injectivity (M. Hochster, 2001) University of Utah Patrick J. Hagerty Radiation Induced Instability (A. Bloch, 2001) University of Arizona Jason Howald Calculations with Multiplier Ideals (R. Lazarsfeld, 2001) University of Michigan Melinda Koelling Dynamics of Generalizations of the Toda Lattice (A. Bloch, 2001) Renssaelaer Polytechnic Institute Mihnea Popa Linear Series on Moduli Space of Vector Bundles on Curves (R. Lazarsfeld, 2001) Harvard University Ian Pulizzotto Heat Flow in a Random Medium and Homogenization (J. Conlon, 2001) Kimberly Retert Noncommutative Curves in Grothendieck Categories (T. Stafford, 2001) Texas A&M Timothy Schwider The Classification of Essential Laminations in Dehn Surgeries on the Figure Eight Knot (G.P. Scott, 2001) Craig Sutton Applications of Representation Theory to Dynamics and Spectral Geometry (R. Spatzier, 2001) Dartmouth Rachel Weir Canonical Divisors and Invariant Subspaces in Weighted Bergman Spaces (P. Duren, 2001) Virginia Polytechnic Institute 2000 Marius Dabija Algebraic and Geometric Dynamics in Several Complex Variables (J. Fornaess, 2000) Penn State University Richard Evans Deformation Spaces of Hyperbolic 3-Manifolds: Strong Convergence and Tameness (R. Canary, 2000) Rice University Sara Faridi Closure Operations on Ideals (K. Smith, 2000) George Washington University Bruce Fields Length Function Determined by Killing Powers of Several Ideals in a Local Ring (M. Hochster, 2000) Center for Information Technology Integration, University of Michigan Eric Hall Generic Extensions of Permutation Models of Set Theory (A. Blass, 2000) Purdue University John Holt The Global Topology of Deformation Spaces of KleinianGroups (R. Canary, 2000) Harvard University Bryan Johnston The Values of the Milnor Genus on Smooth Irreducible Projective Varieties over the Complex Numbers (I. Kriz, 2000) Satyajit Karnik Group Actions on Moduli of Vector Bundles (I. Dolgachev, 2000) Dennis Keeler Noncommutative Ample Divisors (T. Stafford, 2000) MIT Michael Knapp Forms in Many Variables Over p-adic Fields (T. Wooley, 2000) University of Rochester Joseph Palen Bounds for Class Numbers of Cyclotomic Function Fields (D. Lewis, 2000) Alma College Nandini Ranganathan Splitting in Module-finite Extension Rings and the Vanishing Conjecture for Maps of Tor (M. Hochster, 2000) University of Texas, Austin John Robertson Complex Dynamics in Higher Dimensions (J. Fornaess, 2000) SUNY Uriel Scott Sparse Systems of Parameters for Graded Rings (K. Smith, 2000) Susquehanna University Kendrick Smith The Mod 2 Cohomology of Some Classifying Spaces of Compact Lie Groups (I. Kriz, 2000) Adela Vraciu Tight Closure and Local Cohomology (M. Hochster, 2000) University of Kansas   1999 Deborah Alterman Diffractive Nonlinear Geometric Optics for Short Pulses (J. Rauch, 1999) University of Colorado Christopher Connell Rigidity and Dynamics of Negatively Curved Homogeneous Spaces (R. Spatzier, 1999) University of Illinois-Chicago Graham Denham Local Systems on the Complexification of an Oriented Matroid (P. Hanlon, 1999) University of Oregon Max Forester Splittings of Generalized Baumslag-Solitar Groups (G.P. Scott, 1999) University of Warwick Eric Freeman Quadratic and Cubic Diophantine Inequalities (T. Wooley, 1999) University of Colorado Doug Hanes Special Conditions of Maximal Cohen-Macaulay Modules, and Applications to the Theory of Multiplicities (M. Hochster, 1999) University of Minnesota Jahwan Kim Gamma Factors of Certain Supercuspidal Representations (Prasad, 1999) Levente Korpas Quantization of Symplectic Cobordisms (A. Uribe, 1999) Johns Hopkins University Eugene Kushnirsky Some Arithmetical Applications of Integration on Reductive Groups (G. Prasad, 1999) Indiana University Eugen Mihailescu Periodic Points and Hyperbolicity in Higher Dimensional Dynamics (J. Fornaess, 1999) Texas A&M University Rory Molinari Properties of Relative Recursive Enumerability (P. Hinman, 1999) Scott Parsell Exponential Sums and Diophantine Problems (T. Wooley, 1999) Texas A&M University Joel Rosenberg Geometry of Moduli of Cubic Surfaces (K. Smith, 1999) Institute for Defense Analysis Victor Scharaschkin Local Global Problems and the Brauer-Manin Condition (J. Milne, 1999) University of Southern California Nageswari Shanmugalingam An Extension of Sobolev Spaces to Metric Spaces (J. Heinonen, 1999) University of Ireland Srilatha Singh Uniqueness of the JSJ Decomposition for Negatively Curved Groups (G.P. Scott, 1999) Jeff Sink Asymptotic Expansions of Quantum Invariants and a Zeta-Function of a Knot (R. Lawrence, 1999) Bellcore Christopher Swanson Planar Cyclic Difference Packings (T. Storer, 1999) Ashland University Jeremy Tyson Geometric and Analytic Applications of a Generalized Definitions of the Conformal Modulus (J. Heinonen, 1999) SUNY-Stony Brook Nianqing Wang Equations and Properties of Flows with Drifting and Oscillating Bubbles (P. Smereka, 1999)