Recent Michigan Ph.D.'s in Mathematics The following is a list of the Ph. D. degrees awarded by academic year from Fall 2006 - Winter 2012 (in descending order) including the title of the dissertation, the thesis advisor(s) and when possible, the first place of employment. 2011 - 2012 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) 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 (Lagarias) Ajinkya More Symbolic Powers and other Contractions of Ideals in Noetherian Rings (M. Hochster) 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) 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 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) Military-Korea Daniel Kneezel Verlinde K-Theory (I. Kriz) Art of Problem Solving Manuel Rodrigo Parra Currents and Equidistribution in Holomorphic Dynamics (M. Jonsson) 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 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 Zhengjie Xu (AIM) Asymptotic Analysis and Numerical Analysis of the Benjamin-Ono Equation (P. Miller/J. Boyd) Bloomberg 2008 - 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 (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 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 (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 Stapledon 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 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) Frankfurt Institute of Advanced Studies, 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 2006 - 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 (AIM) Stochastic Control Models of Optimal Dividend and Capital Financing (J. Conlon/J. Keppo) 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 (AIM) First Passage Times in the Near-Continuum Limit of Birth-Death Processes (C. Doering/L. Sander) Sandia National Labs Matthew Smith On Solution-Free Sets for Simultaneous Additive Equations (T. Wooley) University of Georgia Andrew Stein (AIM) Mathematical Models for Glioblastoma Invasion in Vitro (T. Jackson/L. Sander) 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)