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.

August 2023

• Banks, Robert. Improving PL Approximations of Harmonic Maps and a Penalty-Function Approach to Harmonic Maps. Advisor: David Glickenstein. Employer: University of Arizona, Tucson AZ. Position: Instructor.
• Doehrman, Thomas. Spaces of Spheres, Duality Structures, and the Finite Volume Laplacian. Advisor: David Glickenstein. Employer: University of Arizona, Tucson AZ. Position: Instructor.
• Knak, Rachel. Kisin Varieties Associated to Redicuble Galois Representations of Dimension 2. Advisor: Brandon Levine
• Nelson, Spencer. On the Arithmetic Gan-Gross-Prasad Conjecture for U(2) x U(3). Advisor: Hang Xue

May 2023

• Phillips, Tristan. Counting Rational Points of Bounded Height on Some Genus Zero Modular Curves. Advisor: Bryden Cais. Employer: Dartmoth College, Hanover, NH. Position: NSF Postdoctoral Researcher.

December 2022

• Rios, Jocelyn. Crticially Examining the Multilingual Undergraduate Mathematics Classroom: A
  Mixed Methods Study. Advisors: Marta Civil and Adi Adiredja.

August 2022

• Agrawal, Utkarsh. Central Values of Degree Six L-Functions: The Case of Hilbert Modular Forms. Advisor: Hang Xue. Employer: Ben-Gurion University of the Negev, Beer Sheva, Israel. Position: Postdoctoral Researcher.
• Elert, Eric. Algorithms for Finite Dimensional Algebras Over Finite Fields using Basic Algebras. Advisor: Klaus Lux. Employer: Savannah College of Art and Design, Savannah, GA. Position: Math Professor.
• Latifi Jebelli, Mohammad Javed. Loop Group Factorization, Lattice Systems and OPUC. Advisor: Douglas Pickrell. Employer: Dartmouth College, Hanover, NH. Position: Postdoctoral Researcher.
• Wu, Ruiyang. New Dimension Reduction Methods for Quadratic Discriminant Analysis. Advisor: Ning Hao. Employer: New York University School of Global Public Health, New York, NY. Postdoctoral Researcher.

May 2022

• Priver, Kyle. Generalizing Bondal-Orlov Criteria for Deligne-Mumford Stacks. Advisor: Jack Hall

August 2021

• Kaushish, Madhav. Theory Building in Geometry Education: Developing and Implementing a Course for 12 to 15 Year Old Students. Advisor: Rebecca McGraw
• Kling, Anthony. Comparison of Integral Structures on the Space Modular Forms of Full Level. Advisor: Bryden Cais.

December 2020

• Biegel, Hannah. Near Real-Time Forecasting of Epidemics Using Data Assimilation with Simple Models. Advisor: Joceline Lega. Employer: SomaLogic. Position: Scientist I- Bioinfomatics.
• Luo, Zhaorui (Jerry). Probabilistic Graphical Model Inference and Learning in Crowdsourcing and Turbulence. Advisor: Junming Yin. Employer: Google, Mountain View, CA. Position: Data Scientist.

August 2020

• Quinones, Jason. Mathematical Aspects of Gauge Theory: Nahm's Equations and Jacobi Forms. Advisor: Christoph Keller. Employer: Gallaudet University, Washington. D.C. Position: Assistant Professor.
• Ramalheira-Tsu, Jonathan. The Kostant-Toda Lattice, Combinatorial Algorithms and Ultra-Discrete Dynamics. Advisor: Nicholas Ercolani. Employer: University of Arizona, Tucson, AZ. Position:  Visiting Assistant Professor.

May 2020

• Coatney, Ryan. A Responsibile Softmax Layer in Deep Learning. Advisor: Marek Rychlik. Employer: Brevium. Position: Data Scientist.
• Hoskins, Philip. Analytical and Numerical Study of Inverse Problems Arising in Some Novel Imaging Modalities. Advisor: Leonid Kunyansky. Employer: Raytheon, Tucson, AZ. Position: Senior Systems Engineer.
• Lunderman, Spencer. Feature-Based Parameter Estimation of the Nonlinear Cloud and Rain Equation and Global Bayesian Optimization in Data Assimilation. Advisor: Matthias Morzfeld. Employer: CIT Bank, Pasadna CA. Position: Independent Model Validation.
• Oliver, Rachel. Superiority of Bayes Estimators Over the MLE in High Dimensional Models on Compact Riemannian Manifolds and its Implication for Nonparametric Bayes. Advisor: Rabindra Bhattacharya. Employer: Rincon Research Corporation, Tucson AZ. Position: Research Scientist.
• Taylor, J. David. Extending Oda's Theorem to Curves with Ordinary Singularities. Advisor: Bryden Cais.
• Tippings, Brandon. Discrete Painlevé Equations, Orthogonal Polynomials, and Counting Maps. Advisor: Nicholas Ercolani. Employer: Clothing Tech LLC. Austin, TX. Position: Software Developer.

August 2019

• Dai, Yan. Mirror Model and Critical Percolation. Advisor: Tom Kennedy. Employer: Jacksonville University, Jacksonville, FL. Position: Assistant Professor.
• Lippitt, William. Clumping, Stick-breaking, and an Inhomogeneous Markov Chain. Advisor: Sunder Sethuraman. Employer: University of Arizona, Tucson, AZ. Position:  Visiting Assistant Professor.
• Murphy, Dylan. Additions for Jacobi Operators and the Toda Hierarchy of Lattice Equations. Advisor: Nicholas Ercolani. Employer: University of Arizona, Tucson AZ. Position: Lecturer, School of Information.

May 2019

• Fang, Lanbo. Eigenvalue Asymptotics of Narrow Domains. Advisor: Leonid Friedlander.

January 2019

• Tao, Yuan. The Potential Exterior to Close-to-touching Discs. Advisor: Shankar Venkataramani. Employer: Ventana Medical Systems. Position: Biostatistician.

December 2018

• Gonzalez, Angelica. Spectral Properties of 3-Regular Graphs Related to One-Face Maps. Advisor: Nicholas Ercolani. Employer: Raytheon. Position: Engineer.
• MacLaughlin, Andrew. Using Homogeneous Structures to Measure Homogeneity of Riemannian Manifolds. Advisor: David Glickenstein. Employer: Raytheon. Position: Engineer
• Moussa, Mohamad. Beyond Raid 6 — Efficient Error Correcting Code for Dual-Disk Corruption. Advisor: Marek Rychlik. Employer: American Express. Position: Senior Engineer.
• Tsinnajinnie, Belin. Indigenous and Latinx Students' Developing Mathematical Identities. Advisor: Marta Civil. Employer: Santa Fe Community College. Position: Assistant Professor and Co-Chair in Mathematics.

August 2018

• Fox, Matthew. Spectrum of Random Hamiltonian Matrices. Advisor: Nicholas Ercolani. Employer: Raytheon. Position: Senior Engineer, Signal Processing.
• Liang, Jinjin. Curvature Flows on Polygons and Surface Clusters. Advisor: David Glickenstein. Employer: Wells Fargo Bank N.A. Position: Quantitative Associate.
• Wang, Jun. Invariants of Modular Curves and Sharifi's Conjectures. Advisors: Bryden Cais, Romyar Sharifi. Employer: University of British Columbia. Position: Postdoctoral Researcher, Department of Mathematics.

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 Binghamton, 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

• Lee, Hyereem. Triples in Finite Groups and a Conjecture of Guralnick and Tiep. Advisor: Pham H. Tiep. Employer: Samsung Insurance, Seoul, Korea. Position:  JP.
• Zhelezov, Gleb. Coalescing Particle Systems. Applications to Nonlinear Fokker-Planck Equations. Advisor: Ibrahim Fatkullin. Employer:Case Western Reserve University, Cleveland, OH. Position: Postdoctoral Researcher, Department of Biology.

August 2016

• Berard, Whitney. Explicit Serre Weight Conjectures in Dimension Four. Advisor: David Savitt. Employer: Mills College, Oakland, CA. Position:  Adjunct Assistant Professor.
• Brown, Tova. Asymptotics and Dynamics of Map Enumeration Problems. Advisor: Nicholas Ercolani. Current participant in the Program on Combinatorics and Interactions, Institut Henri Poincare, Marseille/Paris.
• Davis, Erik. Consistency of Modularity Clustering on Random Geometric Graphs. Advisor: Sunder Sethuraman.  Employer: University of Arizona, Tucson, AZ. Position:  Postdoctoral Fellow.
• Trefethen, Stephen. Non-abelian Composition Factors of m-Rational Groups. Advisor: Pham Huu Tiep.  Employer: The College of William and Mary, Williamsburg, VA. Position:  Visiting Assistant Professor.
• Williams, Ronnie Scott. Level Compatibility in the Passage from Modular Symbols to Cup Products. Advisor: Romyar Sharifi.  Employer: The University of Central Oklahoma,Edmond, OK. Position:  Assistant Professor.

May 2016

• Henniges, Alex. Kisin-Ren Classification of Pi-divisible O-modules via the Dieudonné Crystal. Advisor: Bryden Cais. Employer: Raytheon. Position: Sr. Software Engineer.
• Ma, Ding. Relations Among Multiple Zeta Values and Modular Forms of Low Level. Advisor: Romyar Sharifi. Employer: Duke University, Durham, NC. Position: Postdoctoral Research Associate.

August 2015

• Chavez, Angel. Werner's Measure on Self-Avoiding Loops and Representations of the Virasoro Algebra. Advisor: Douglas Pickrell. Employer: Pomona College. Position: Postdoctoral Fellow.
• Thomas, Joseph. Conformal Variations of Piecewise Constant Curvature Two and Three Manifolds. Advisor: David Glickenstein. Employer: ViaSat Inc. Position: Data Scientist/Software Engineer.

May 2015

• Jiang, Jianping. Random Walks and their Scaling Limits. Advisor: Thomas Kennedy.  Employer: NYU Shanghai. Position: Postdoctoral Fellow.
• Lafferty, Matthew J. Eichler-Shimura Cohomology Groups and the Iwasawa Main Conjecture.  Advisor: Romyar Sharifi. Employer: University of California, Los Angeles. Position: Adjunct Assistant Professor.
• Powell, Kevin J. Modular Symbols Modulo Eisenstein Ideals for Bianchi Spaces.  Advisor: Romyar Sharifi. Employer: Snow College. Position: Assistant Professor.
• Todd, George E. Linear Relations between Multizeta Values.  Advisor: Klaus Lux. Employer: Union College. Position: Visiting Assistant Professor of Mathematics.
• Waters, Patrick T. Combinatorics of the Hermitian 1-Matrix Model. Advisor: Nicholas Ercolani. Employer: Temple University. Position: Research Assistant Professor.

December 2014

• Blackburn, Chantel C. Mathematics According to Whom? Two Elementary Teachers and Their Encounters with the Mathematical Horizon. Advisor: Rebecca McGraw. Employer: Pacific Union College. Position: Assistant Professor of Mathematics.
• Hinkel, Dustin E. Constructing Simultaneous Diophantine Approximations of Certain Cubic Numbers. Advisor: Marek Rychlik.

August 2014

• Maienschein, Thomas D. Desingularizing the boundary of the moduli space of genus one stable quotients. Advisor: Yi Hu. Employer: Drake University. Position: Visiting Assistant Professor.
• Prasad, Priya V. Connection, motivation, & alignment: Exploring the effects of content-based mathematics professional development. Advisor: Rebecca McGraw. Employer:University of Texas, San Antonio. Position: Assistant Professor.

December 2013

• Herrera-Valdez, Marco.Geometry and non-linear dynamics underlying excitability phenotypes in biophysical models of membrane potential. Advisor: Joceline Lega.  Employer: National Institute of Public Health, Mexico. Position: Research Scientist.

August 2013

• Islambekov, Umar. Lieb-Robinson bounds for the Toda lattice. Advisor: Robert Sims.  Employer: Department of Mathematics, University of Pittsburgh. Position: Lecturer.
• Gilbert, Michael. Investigating the relationship between restriction measures and self-avoiding walks. Advisor: Thomas Kennedy. Employer: University of Arizona. Position: Instructor
• Leslie, Martin. Hypermap-homology quantum codes. Advisor: Marek Rychlik. Employer: Streamscale.
• Thomas, Matthew. Analyzing Conceptual Gains in Introductory Calculus with Interactively-Engaged Teaching Styles. Advisor: Guadalupe I. Lozano. Employer: Department of Mathematics, University of Central Arkansas. Position: Assistant Professor.

May 2013

• Acosta, Enrique. Leading order asymptotics of a partition function for colored triangulations. Advisor: Kenneth McLaughlin. Employer: Mathematics Department, Universite Catholique de Louvain, Belgium. Position: Postdoctoral Fellow.
• Bishop, Michael. Quantum Systems in Bernoulli Potentials. Advisor: Jan Wehr. Employer: Department of Mathematics, University of California, Davis, Davis, CA. Position: Krener Assistant Professorship.
• Hadad, Yaron. Integrable Nonlinear Relativistic Equations. Advisor: Vladimir Zakharov. Employer: Department of Mathematics, Universidad Nacional de Colombia, Medellin, Colombia. Position: Independent Researcher.
• Park, Chol. Semi-stable deformation rings in Hodge--Tate weights (0,1,2). Advisor: David Savitt. Employer: Mathematics Department, The University of Toronto, Toronto, Ontario, Canada. Position: Postdoctoral Fellow.
• Schaeffer Fry, Amanda. Irreducible Representations of Finite Groups of Lie Type:  On the Irreducible Restriction Problem and Some Local-Global Conjectures. Advisor: Pham H. Tiep. Employer: Department of Mathematics, Michigan State University, East Lansing, MI. Position: Postdoctoral Fellow.

August 2012

• Nguyen, Dong Quan. Nonexistence of rational points on certain varieties. Advisor: Romyar Sharifi. Employer: University of British Columbia, Vancouver. Position: Postdoctoral Fellow
• Smith, Ryan. Serre Weights: The Partially Ramified Case. Advisor: David Savitt.

May 2012

• Chuan Huang. Novel Methods for T2 Estimation Using Highly Undersampled Radial MRI. Advisor: Qiu-dong Wang. Employer: Harvard Medical School, Department of Radiology, Boston, MA. Position: Poctdoctoral Fellow.
• Matthew Johnson. A Classification of all Hecke Eigenform Product Identities. Advisor: Kirti Joshi.
• Lizhen Lin. Nonparametric Inference for Bioassay. Advisor: Rabindra Bhattacharya. Employer: Duke University, Statistical Science Department, Durham, NC. Position: Postdoctoral Associate.
• Aleksandar Petrov. On A-Expansions on Drinfeld Modular Forms. Advisor: Dinesh Thakur. Employer: Texas A&M University at Doha, Qatar, Mathematics Department. Position: Postdoctoral Research Associate.
• Victor Piercey. Resolutions of Collinearity Among Four Points in the Complex Projective Plane. Advisor:  Yi Hu. Employer: Ferris State University, Mathematics Department, Big Rapids, MI. Position: Assistant Professor (tenure-track).
• Jordan Schettler. The Change in Lambda Invariants for Cyclick p-Extensions of Z_p-fields. Advisor: William McCallum. Employer: University of California, Mathematics Department, Santa Barbara, CA. Position: Visiting Assistant Professor.

December 2011

• Yuliya Gorlina. Weighted Delaunay triangulations of piecewise-flat surfaces.  Advisor: David Glickenstein.

May 2011

• Daniel Champion. Mobius Structures, Einstein Metrics, and Conformal Variations on Piecewise Flat Two and Three Dimensional Manifolds.  Advisor: David Glickenstein. Employer: Ventana Medical Systems. Position: Consultant.
• David Herzog. Ergodicity of Certain Degenerate Complex Diffusion Processes. Advisor: Jan Wehr.  Employer: Duke University, Durham, NC. Position: Visiting Assistant Professor.

December 2010

• Yijun Shao. A Compactification of the Space of Algebraic Maps from P^1 to a Grassmannian. Advisor: Yi Hu. Employer: Wesleyan University, Middletown, CT. Position: Visiting Assistant Professor.

August 2010

• Jefferson Taft. Intrinsic Geometric Flows on Manifolds of Revolution.  Advisor:  David Glickenstein. Employer:  University of Arizona. Position:   Visiting Assistant Professor.
• Brad Weir.  The Transfer of Momentum from Waves to Currents due to Wave Breaking.  Advisor: Juan Restrepo.  Employer:  College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, OR.  Position:  Postdoc.
• Mei Yin.  Spectral Properties of the Renormalization Group.  Advisor: William Faris.  Employer:  University of Texas at Austin, Austin, TX.  Position:  Bing Instructorship.

May 2010

• John Kerl. Critical behavior for the model of random spatial permutations.  Advisor: Thomas Kennedy. Employer: Two Sigma Investments, New York, NY.  Position: Quantitative Software Developer.
• Thomas LaGatta. Geodesics of Random Riemannian Metrics.  Advisor:  Jan Wehr.  Employer: Courant Institute of Mathematical Sciences.  Position:  Postdoc.
• Thomas Occhipinti.  Mordell-Weil Groups of Large Rank in Towers.  Advisor:  Douglas Ulmer.  Employer: University of California, Irvine.  Position:  Postdoctoral Visiting Assistant Professor.

December 2009

• Grethe Hystad. Periodic Ising Correlations.  Advisor:  John Palmer. Employer: University of Arizona. Position:  Adjunct Instructor.
• McKenzie Lamb. Ginzburg-Weinstein Isomorphisms for Pseudo-Unitary Lie Groups.  Advisor: Philip Foth.  Employer:  Ripon College.  Position: Assistant Professor.
• Bridget Kennedy. Modeling pulse propagation in loss-compensated materials that exhibit the negative refreactive index property.  Advisor:  Ildar Gabitov.  Employer: Department of Defense.
• Aramian Wasielak. Various limiting criteria for multidimensional diffusion processes.  Advisor:  Rabindra Bhattacharya. Employer:  Lighthouse Financial.

August 2009

• Joshua Chesler. Interacting with Algebra: Mathematicians, mathematics educators, and teachers making sense of algebra content. Advisor: Rebecca McGraw.  Employer: California State University, Long Beach. Position: Assistant Professor.
• Benjamin Dyhr. The Chordal Loewner Equation Driven by Brownian Motion with a Linear Drift. Advisor: Tom Kennedy. Employer:  Metropolitan State College of Denver. Position: Visiting Assistant Professor.

May 2009

• Selin Kalaycioglu. Computing the projective indecomposable modules of large finite groups. Advisor: Klaus Lux. Employer. Kenyon College, Gambier, OH. Position: Visiting Assistant Professor.

December 2008

• Abhishek Bhattacharya. Nonparametric statistics on manifolds with applications to shape spaces. Advisor: Rabindra Bhattacharya. Employer: Duke University, Durham, NC. Position: Post-doctorate Researcher.

May 2008

• Cameron McLeman. A Golod-Shafarevich Equality and p-Tower Groups. Advisor: William McCallum. Employer: Willamette University, Salem, OR. Position: Post-doc.

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. Building alliances: A partnership between a middle school mathematics teacher and a university researcher. 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; 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.

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 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.

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.