Recent Ph.D. Grads

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.

December 2007

• Milos Ivkovic. Characterization and Coding Techniques for Long-Haul Optical Telecommunication Systems. Advisor: Bane Vasic (ECE). Employer: LSI Logic Corporation, Allentown, PA. Position: Research Scientist.
• Justin Miller. On p-adic Continued Fractions and Quadratic Irrationals. Advisor: Dinesh Thakur. Employer: IBM, Enterprise Storage Performance Department, Tucson, AZ. Position: Staff Firmware Engineer.

August 2007

• Lisa Berger. Ranks of Abelian Varieties in Towers of Function Fields.. Advisor: Douglas Ulmer. Employer: SUNY at Stony Brook. Position: Assistant Professor.
• Anthony Fernandes. A Partnership between a Middle School Teacher and a novice Mathematics Educator centered around the content. Advisor: Peter Wiles. Employer: University of North Carolina at Charlotte. Position: Assistant Professor.

May 2007

• Arlo Caine. Poisson Structures on U/K and Applications.. Advisor: Douglas Pickrell. Employer: Max-Planck-Institut fuer Mathematik, Bonn, Germany. Position: Visiting Scholar.
• 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.
• 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.

2002

• 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.

2001

• 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.

2000

• 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.

1999

• 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.

1998

• 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.

1997

• 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.

1996

• 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.

1995

• 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 Friendlander. 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.

1994

• 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.

1993

• 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.

1992

• 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.