The University of Arizona

Recent Ph.D. Graduates

This section gives information about all students who completed Ph.D. degrees in Mathematics since 1992. Data provided are: year of graduation, student's name, dissertation title, advisor, and initial post-doctoral employment (if available), according to our records.

May 2018

Gunton, Cody. Torsion 1-Crystalline Representations and Néron Component Groups in the Semi-stable Case. Advisor: Bryden Cais. Employer: University of Copenhagen, Copenhagen, Denmark. Position: Postdoctoral Researcher, Department of Mathematics.

Pounder, Kyle. Nearly Singular Jacobi Matrices and Applications to the Finite Toda Lattice. Advisor: Nicholas Ercolani. Employer: Emailage, Chandler, AZ. Position: Fraud Decision Scientist.

Rossi, Daniel. Fields of Values in Finite Groups: Characters and Conjugacy Classes. Advisor: Pham H. Tiep. Employer: SUNY Bimghamton, Binghamton, NY. Position:  Visiting Assistant Professor.

Shahar, Doron. Hydrodynamic limits for long range asymmetric processes and probabilistic opinion dynamics. Sunder Sethuraman.

Shih, Sheng-Chi. On Congruence Modules Related To Hilbert Eisenstein Series. Advisors: Bryden Cais, Romyar Sharifi. Employer: University of Lille 1. Position: Postdoctoral Researcher, Department of Mathematics.

December 2017

Stone, Megan. Eigenvalue Densities for the Hermitian Two-Matrix Model and Connections to Monotone Hurwitz Numbers. Advisor: Nicholas Ercolani.

May 2017

August 2016

May 2016

August 2015

May 2015

December 2014

August 2014

December 2013

August 2013

May 2013

August 2012

May 2012

December 2011

May 2011

December 2010

August 2010

May 2010

December 2009

August 2009

May 2009

December 2008

May 2008

December 2007

August 2007

May 2007

  • Arlo Caine. Poisson Structures on U/K and Applications. Advisor: Douglas Pickrell. Employer: Max-Planck-Institut fuer Mathematik, Bonn, Germany; Notre Dame. Position: Visiting Scholar; Postdoctoral Fellow.
  • Assane Lo. Witten Laplacian Methods for Critical Phenomena.. Advisor: Haru Pinson. Employer: KFUPM (King Fahd University of Petroleum & Minerals), Dhahran, Saudi Arabia. Position: Assistant Professor.
  • Predrag Punosevac. Regularization of Simultaneous Binary Collisions in Some Gravitational Systems.. Advisor: Qiu-dong Wang. Employer: The University of Arizona. Position: Adjunct Lecturer.

August 2006

  • Derek Habermas. Compact Symmetric Spaces, Triangular Factorization, and Cayley Coordinates. Advisor: Douglas Pickrell. Employer: State University of New York, Potsdam. Position: Assistant Professor.
  • Panagiota Konstantinou. Homomorphisms of the fundamental group of a surface into PSU (1,1), and the action of the mapping class group. Advisor: Douglas Pickrell. Employer: Frederick University, Cyprus. Position: Lecturer.
  • Benjamin Levitt. Tate-Shafarevich Groups of Jacobians of Fermat Curves. Advisor: William McCallum. Employer: California State University, Chico. Position: Assistant Professor.
  • Adam Spiegler. Stability of generic equilibria of the 2n dimensional free rigid body using the energy-Casimir method. Advisor: Hermann Flaschka. Employer: The University of Arizona. Position: Visiting Assistant Professor.

May 2006

  • Robert Pawloski. Computing the Cohomology Ring and Ext-Algebra of Group Algebras. Advisor: Klaus Lux. Employer: Monmouth University, West Long Branch, NJ. Position: Assistant Professor.

August 2005

  • Jason Belnap. Putting TAs into Context: Understanding the Graduate Mathematics Teaching Assistant. Advisor: Marta Civil. Employer: Brigham Young University. Position: Faculty Position in Mathematics Education.
  • Frederick Leitner. Deformation Theory of Noncommutative Formal Groups in Positive Characteristic. Advisor: Minhyong Kim. Employer: Ben Gurion University, Beer Sheva, Israel. Position: Postdoc.

August 2004

  • Guadalupe Lozano. Poisson Geometry of the Ablowitz-Ladik Equations. Advisor: Nicholas Ercolani. Employer: University of Michigan, Ann Arbor, MI. Position: Assistant Professor.
  • Alexander Perlis. On the projective geometry of curves of genus one, and an algorithm for the jacobian of such a curve. Advisor: William McCallum. Employer: The University of Arizona Department of Mathematics. Position: Computer System Administration.
  • Katrina Piatek-Jimenez. Undergraduate Mathematics Students' Understanding of Mathematical Statements and Proofs. Advisor: Marta Civil. Employer: Mathematics Department, Central Michigan University, Mount Pleasant, MI. Position: Assistant Professor.
  • Patrick Shipman. Plant Patterns. Advisor: Alan Newell. Employer: Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany. Position: Postdoc.

May 2004

  • Thomas Hoffman. Constructing Basic Algebras for the Principal Block of Sporadic Simple Groups. Advisor: Klaus Lux. Employer: Department of Applied Mathematics, Coastal Carolina University, Conway, SC. Position: Assistant Professor.
  • Virgil Pierce. The Asymptotic Expansion of the Partition Function of Random Matrices. Advisor: Nicholas Ercolani. Employer: Brandeis University, Waltham, MA. Position: Postdoc.
  • Christopher Rasmussen. Jacobians of Etale Covers of the Projective Line Minus Three Points. Advisor: Minhyong Kim. Employer: Mathematics Department, Rice University, Houston, TX. Position: G.C. Evans Instructorship.
  • Jeffrey Selden. The Density of States in a Quasi-Gap. Advisor: Leonid Friedlander. Employer: Erwin Schroedinger International Institute for Mathematical Physics, Vienna, Austria. Position: Postdoc.
  • Aaron Wootton. Defining Algebraic Polynomials for Cyclic Prime Covers of the Riemann Sphere. Advisor: Klaus Lux. Employer: Department of Mathematics, The University of Portland. Position: Assistant Professor.


  • Fahd Al-Shammari. Jacobians of Plane Quintic Curves of Genus One. Advisor: William McCallum. Employer: King Khalid Academy, Riyadh, Saudi Arabia. Position: Mathematics Assistant Professor.
  • Maria Agrotis. Pure and Applied Reflections on the Reduced Maxwell-Bloch System. Advisor: Nicholas Ercolani. Employer: University of Massachusetts, Amherst, MA. Position: Postdoctoral Fellow.
  • Jennifer Smith. An Investigation of Undergraduates' Understanding of Congruence of Integers. Advisor: Marta Civil. Employer: University of Texas, Austin. Position: Assistant Professor.


  • Jeffrey Edmunds. A Study of a Stage-Structured Model of Two Competing Species. Advisor: Jim Cushing. Employer: University of Mary Washington, Fredericksburg, VA. Position: Assistant Professor.
  • Seog Young Kim. Vector Bundles on an Elliptic Curve Over a Discrete Valuation Ring. Advisor: Minhyong Kim. Employer: Samsung Insurance Company, Seoul, Korea. Position: Administrative Manager.
  • Weiye Li. Stability of Equilibria in Dynamic Oligopolies. Advisors: Marek Rychlik and Ferenc Szidarovsky. Employer: Los Alamos National Laboratory. Position: Postdoctoral Fellow.
  • Susan Hammond Marshall. Crystalline Representations and Néron Models. Advisor: Minhyong Kim. Employer: University of Texas, Austin. Position: VIGRE Postdoctoral Fellow.


  • Geoffrey Cunningham. Sums of Squares in Function Fields of Elliptic Curves. Advisor: Douglas Ulmer. Employer: National Security Agency. Position: Cryptologic Mathematician.
  • Jia-Ling Dai. Conjugacy Classes, Characters, and Co-adjoint Orbits of Diff+(S1). Advisor: Doug Pickrell. Employer: Zhejiang University, Hangzhou, PR China. Position: Instructor.
  • David Marshall. Galois Groups and Greenberg's Conjecture. Advisor: William McCallum. Employer: McMaster University, Hamilton, Ontario. Position: Postdoctoral Fellow.
  • Chunnan Wang. Analysis of a Bivariate Distribution in Reliability Theory. Advisor: Moshe Shaked. Employer: Premera Blue Cross, Seattle, WA. Position: Actuary.


  • Maref Alzoubi. A Dispersal Model for Structured Populations. Advisor: Jim Cushing. Employer: Yarmouk University, Irbid, Jordan. Position: Instructor.
  • Micaela Avila de Brau. Controlled Markov Chains with Exponential Risk-Sensitive Criteria: Modularity, Structured Policies and Applications. Advisor: Emmanuel Fernandez (SIE). Employer: Universidad Nacional Autónoma de México, Hermosillo.
  • Agustin Brau Rojas. Controlled Markov Chains with Risk-Sensitive Average Cost Criterion. Advisor: Emmanuel Fernandez (SIE). Employer: Universidad Nacional Autónoma de México, Hermosillo.
  • Aaron Ekstrom. On the Infinitude of Elliptic Carmichael Numbers. Advisor: Dinesh Thakur. Employer: Alfred University (NY). Position: Assistant Professor.
  • Jack Jackson II. Splitting in Finite Metacyclic Groups. Advisor: Larry Grove. Employer: Westark College, Fort Smith, AR. Position: Instructor.
  • Scott Sakamoto. The Cranmer Abacus: Its Use in Teaching Mathematics to Students with Visual Impairments. Advisor: Steve Willoughby. Employer: Chapman University, Orange, CA. Position: Assistant Professor.


  • Gregory Gillis. Design Considerations in Composite Conductors: an Exposition of Percolation Theory. Advisor: David Gay. Employer: Southern Utah University. Position: Assistant Professor.
  • Matthew Kruse. Smooth, Cusped, and Discontinuous Traveling Waves in the Fluid Resonance Equation. Advisor: Moysey Brio. Employer: Rincon Research Corporation, Tucson, AZ. Position: Research Mathematician.
  • Olga Simek. Heat Trace Asymptotics for Domains with Singular Boundaries. Advisor: Leonid Friedlander. Employer: Lawrence Livermore National Laboratory, Computer Application Organization. Position: Computer Scientist.


  • Edward Alexander. An Investigation of the Results of a Change in Calculus Instruction at the University of Arizona. Advisor: Steve Willoughby. Employer: The University of Arizona, Tucson, AZ. Position: Adjunct Lecturer.
  • Christopher Bowman. Pattern Formation and Wavelets. Advisor: Alan Newell. Employer: University of Warwick (UK). Position: Research Fellow.
  • Yu-Wen Cheng. Endomorphisms of Modules over Discrete Valuation Domains. Advisor: Warren May. Employer: The Chinese Cultural University, Taipei, Taiwan. Position: Assistant Professor.
  • Cheryl DeLorme. The Shafarevich-Tate Group of an Elliptic Curve. Advisor: William McCallum. Employer: The Mathematical Sciences Research Institute, Berkeley, CA. Position: Postdoctoral Fellow. Currently at Sandia National Laboratories, Albuquerque, NM..
  • Cynthia Kaus. Topological and Geometrical Considerations for Maxwell's Equations on Unstructured Meshes. Advisor: Richard Ziolkowski (ECE). Employer: The University of Minnesota, Minneapolis, MN. Position: Assistant Professor.
  • Amy Rabb-Liu. Teaching Methods and Student Understanding in Calculus. Advisor: Steve Willoughby. Employer: Montclair State University, New Jersey. Position: Assistant Professor.
  • Stephen Shipman. A Continuum Limit of a Finite Discrete Nonlinear Schrödinger System. Advisor: Nicholas Ercolani. Employer: Louisiana State University. Position: Assistant Professor, Mathematics Department.
  • Mark Torgerson. Algebraic Non-integrability of the Cohen Map. Advisor: Marek Rychlik. Employer: The National Security Agency, Ft. George G. Meade, Maryland.


  • Son-Xuan Dang. The C-function for Affine Kac-Moody Algebras. Advisor: Doug Pickrell.
  • Javier Diaz-Vargas. On Zeros of Characteristic p Zeta Functions. Advisor: Dinesh Thakur. Employer: Universidad Autónoma Metropolitana, México. Position: Profesor Titular.
  • Mohamed El Hadrami. Poisson Algebras and Convexity. Advisor: Hermann Flaschka. Employer: Ajman University, United Arab Emirates.
  • Utith Inprasit. Equilibria In Size-Structured Population Models. Advisor: Jim Cushing. Employer: College Science, Ubon Ratchathani University, Ubon, Thailand. Position: Mathematics Professor.
  • John Keisling. Approach to Equilibrium for Markovian Infinite Particle Systems with Exclusion Interaction. Advisor: William Faris. Employer: Science Applications International, Caracas, Venezuela. Position: Risk Assessment.


  • Will-Matthis Dunn II. Algorithms and Applications of Comprehensive Groebner Bases. Advisor: Marek Rychlik. Employer: Montgomery College, Conroe, TX. Position: Instructor.
  • Gregory Holmberg. The Lower Bound of the Spectrum of the Dirichlet Laplacian in Unbounded Domains. Advisor: Leonid Friedlander. Employer: Al Akhawayn University Ifrane, Department of Science & Engineering, Ifrane, Morocco. Position: Assistant Professor.
  • Barbara Shipman. Convex Polytopes and Duality in the Geometry of the Full Kostant-Toda Lattice. Advisor: Nicholas Ercolani. Employer: University of Texas, Arlington. Position: Assistant Professor, Mathematics Department.
  • Hsin-Min Sun. Planar Nearrings and Block Designs. Advisor: James Clay. Employer: Chia Nan Junior College of Pharmacy. Position: Associate Professor.


  • Ronald Bollschweiler. Valued Modules Over Valuation Domains. Advisor: Warren May.
  • Michael Brilleslyper. The Dirichlet Problem For Harmonic Maps From The Disk Into A Sphere. Advisor: Doug Pickrell. Employer: Arizona State University, Tempe, AZ. Position: Lecturer.
  • Haijun Li. Contributions To The Theory of Stochastic Convexity and Stochastic Majorization. Advisor: Moshe Shaked. Employer: Washington State University, Pullman, WA. Position: Assistant Professor.
  • Steven Olson. Homomorphisms of Planar Nearrings. Advisor: James Clay. Employer: University of Arizona, Tucson, AZ. Position: Adjunct Lecturer.
  • Rigoberto Vera-Mendoza. Applications of Non-Standard Analysis to Locally Convex Spaces. Advisor: Carl DeVito. Employer: Universidad Michoacana, Morella, Michoacan, Mexico. Position: Professor.
  • Tailiang Xie. Positive Definite Matrix-Valued Functions and Variogram Modeling. Advisor: Donald Myers. Employer: University of Arizona, Medical Center, Tucson, AZ. Position: Research Specialist.
  • Chun-Woo Yang. Parameter Conditions for the Existence of Homoclinic Orbits in the Lorenz Equations. Advisor: Marek Rychlik. Employer: Hansin University, South Korea. Position: Assistant Professor.


  • Steven T. Files. Mixed Modules and Endomorphisms over Incomplete Discrete Valuation Rings. Advisor: Warren May. Employer: University of Connecticut, Storrs, CT. Position: Instructor.
  • Huyi Hu. Subadditivity of Entropies of Commuting Diffeomorphisms and Examples of Non-Existence of SBR Measure. Advisor: Lai-Sang Young. Employer: University of Maryland, College Park, MD. Position: Post Doctoral Fellow.
  • Matthew Klassen. Algebraic Points of Low Degree on Curves of Low Rank. Advisor: William McCallum. Employer: University of The Pacific, Stockton, CA. Position: Visiting Lecturer.
  • Zheng Liu. Dynamical System and its Random Perturbations. Advisor: Lai-Sang Young. Employer: Yunnan University, ROC. Position: Faculty.


  • Christian Ballot. Density of Prime Divisors in Linear Recurring Sequences. Advisor: John Brillhart. Employer: Université de Caen, Caen, France. Position: Faculty.
  • Jian Cheng. Horseshoes in the Standard Map. Advisor: Maciej Wojtkowski. Employer: Nanjing University, Nanjing, PRC. Position: Junior Faculty.
  • Wen-Fong Ke. Structures of Circular Planar Nearrings. Advisor: James Clay. Employer: National Cheng Kung University, Tainan, ROC. Position: Associate Professor.
  • Chi-Kun Lin. On The Incompressible Limit of The Compressible Navier-Stokes Equations. Advisor: David Levermore. Employer: National Cheng Kung University, Tainan, ROC. Position: Associate Professor.
  • Janet McShane. Computation of Polynomial Invariants of Finite Groups. Advisor: Larry Grove. Employer: Northern Arizona University, Flagstaff, AZ. Position: Associate Professor.
  • Tai-Cheng Tso. The Zero Dispersion Limits of Nonlinear Wave Equations. Advisor: David Levermore. Employer: Kaohsiung Normal University, Kaohsiung, Taiwan, ROC. Position: Associate Professor.
  • Haolong Zhu. Some Contributions to Reliability Theory. Advisor: Moshe Shaked. Employer: Pima Community College, Tucson, AZ. Position: Instructor.
  • Maorong Zou. Geometry of Two Degree of Freedom Integrable Hamiltonian Systems. Advisor: Hermann Flaschka. Employer: University of Texas, Austin, TX. Position: Instructor.


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