Past Ph.D. Students

Former students who I officially advised:

• Bracy H. Elton, 1990, Applied Sciences, University of California at Davis, (co-advisor: Garry H. Rodrigue)
  A Numerical Theory of Lattice Gas and Lattice Boltzmann Methods in the
  Computation of Solutions to Nonlinear Advection-Diffusion Systems,
  Now: Technical Fellow, Signal and Image Processing, Ohio Supercomputer Center, Columbus, OH
  

• Marco Campini, 1991, Applied Mathematics, University of Arizona,
  The Fluid Dynamical Limits of the Linearized Boltzmann Equation,
  Last Known: Scientist, Italiel S.P.A., Italy
  

• Shi Jin , 1991, Applied Mathematics, University of Arizona,
  Numerical Transport in Diffusive Regimes,
  Now: Professor and Chair, Department of Mathematics, University of Wisconsin, Madison, WI
  

• Shan Jin, 1991, Applied Mathematics, University of Arizona,
  The Semiclassical Limit of the Defocusing Nonlinear Schrodinger flows,
  Last Known: MathSoft Inc., Seattle, WA
  

• Tai-Cheng Tso , 1992, Mathematics, University of Arizona,
  On the Incompressible Limit of the Compressible Navier-Stokes Equations,
  Now: Professor, Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan
  

• Chi-Kun Lin , 1992, Mathematics, University of Arizona,
  On the Incompressible Limit of the Compressible Navier-Stokes Equations
  Now: Professor, Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan
  

• Michael A. Wolfson, 1994, Applied Mathematics, University of Arizona (co-advisor: Frederick D. Tappert)
  Kinetic Theory of Waves in Random Media and Amelioration of Classical Chaos
  Now: Applied Mathematician, Ocean Acoustics Department, Applied Physics Laboratory, University of Washington, Seattle, WA
  

• Warren D. MacEvoy Jr. , 1994, Applied Mathematics, University of Arizona,
  Numerical and Analytical Studies of Instabilities in 1+1 and 2+1 Dimensional
  Periodic Fully Integrable Partial Differential Equations: Methods and Results,
  Now: Associate Professor, Computer Science, Mathematics, and Statistics Department, Mesa State College, Grand Junction, CO
  

• Peter D. Miller , 1994, Applied Mathematics, University of Arizona,
  Macroscopic Lattice Dynamics,
  Now: Professor, Department of Mathematics, University of Michigan, Ann Arbor, MI
  Director, Applied and Interdisciplinary Mathematics
  

• Aric Hagberg , 1994, Applied Mathematics, University of Arizona, (co-advisor: Ehud Meron)
  Fronts and Patterns in Reaction-Diffusion Equations,
  Now: Mathematical Modeling and Analysis Group (T-7), Theoretical Divivsion, Los Alamos National Laboratory, Los Alamos, NM
  

• Gustavo Cruz-Pacheco , 1995, Applied Mathematics, University of Arizona,
  The Nonlinear Schroedinger Limit of the Complex Ginzburg-Landau Equation,
  Now: Investigador Titular "A", Departamento de Matematicas y Mecanica, Instituto de Investigaciones en Mathematicas y en Sistemas (IIMAS),
  Universidad National Autonoma de Mexico, Mexico City, Mexico
  

• Donald R. Stark , 1996, Applied Mathematics, University of Arizona,
  Structure and Turbulence in the Complex Ginzburg-Landau Equation with a Nonlinearity of Arbitrary Order
  Now: Project Scientist, Scientific Computing Division (SCD), National Center for Atmospheric Research, Boulder, CO
  

• Marcel Oliver , 1996, Applied Mathematics, University of Arizona,
  A Mathematical Investigation of Models of Shallow Water with a Varying Bottom,
  Now: Professor of Mathematics, Jacobs University, Bremen, Germany
  

• Karla J. Horsch , 1997, Applied Mathematics, University of Arizona,
  Attractors for Lyapunov Cases of the Complex Ginzburg-Landau Equation
  Now: Research Associate, Kurt Rossmann Laboratories for Radiologic Image Research, University of Chicago, Chicago, IL
  

• David L. Ropp, 2000, Applied Mathematics, University of Arizona
  A Numerical Study of Shallow Water Models with Variable Topography
  Last Known: Department of Computational Mathematics and Algorithms, Sandia National Laboratory, Albuquerque, NM
  

• Cecilia Fosser, 2000, Applied Mathematics, University of Arizona,
  Statistics in Stochastic Automata Model for the Spread of Disease Among Mobile Individuals
  Now: Manager, Pfizer, New London/Norwich, CT
  

• Will Ott, 2004, Mathemaics, University of Maryland (co-advisors: James A. Yorke and Brian Hunt),
  Infinite-Dimensional Dynamical Systems and Projections
  Now: NSF Postdoctoral Fellow, Courant Institute, New York University, New York, NY
  

• Ning Jiang, 2006, Mathematics, University of Maryland,
  Weakly Compressible Navier-Stokes Approximation of Gas Dynamics
  Now: Courant Instructor, Courant Institute, New York University, New York, NY
  

• Cory Hauck, 2006, Applied Mathematics and Scientific Computation, University of Maryland,
  Entropy-Based Moment Closures in Semiconductor Models
  Now: Research Associate, Continuum Dynamics Group (CCS-2) and Center for Nonlinear Studies (CNLS),
  Los Alamos National Laboratory, Los Alamos, NM
  

• Weiran Sun, 2008, Applied Mathematics and Scientific Computation, University of Maryland,
  Mathematical Problems Arising when Connecting Kinetic to Fluid Regimes
  Now: Postdoctoral Research Associate, Department of Mathematics, University of Maryland, College Park, MD
  

Former students who I unofficially advised:

• Elizabeth Hunke , 1994, Applied Mathematics, University of Arizona, (advisor: Joseph A. Zehnder)
  The Time-Dependent Transformed Eliassen Balanced Vortex Model of a Tropical Cyclone
  Now: Climate, Ocean and Sea Ice Modeling (COSIM), Los Alamos National Laboratory, Los Alamos, NM
  

• G. John Lapeyre , 2000, Physics, University of Arizona (advisor: Daniel L. Stein)
  Random Walks on a Fluctuating Lattice
  Last Known: Staff, Department of Physics, University of Arizona, Tucson, AZ