Thomas Wanner Associate Professor Office: Science & Technology Building I, Room 205 Phone: (703) 993-1472 Fax: (703) 993-1491 E-mail: wanner@math.gmu.edu Personal Homepage: math.gmu.edu/~wanner

Education

• Ph.D., 1993, Universität Augsburg (Germany), Random Dynamical Systems

• Diplom, 1991, Universität Augsburg (Germany)

Research

• Pattern formation phenomena in materials science and biology: Spinodal decomposition, nucleation, slow motion, Turing patterns

• Dynamics of partial differential equations: Cahn-Hilliard-type models, parabolic systems, geophysical equations

• Stochastic dynamics: Qualitative theory, stochastic partial differential equations, random dynamical systems

Selected Publications

• Evolution of pattern complexity in the Cahn-Hilliard theory of phase separation. Acta Materialia 53:693-704, 2005, with Marcio Gameiro and Konstantin Mischaikow

• Maximum norms of random sums and transient pattern formation. Transactions of the American Mathematical Society 356:2251-2279, 2004.

• Polarization decorrelation in optical fibers with randomly varying elliptical birefringence. Optics Letters 28:1799-1801, 2003, with B. Marks, C. Menyuk, and J. Zweck.

• Pattern formation in a nonlinear model for animal coats. Journal of Differential Equations 191(1):143-174, 2003, with E. Sander.

• Invariant foliations and decoupling of non-autonomous difference equations. Journal of Difference Equations and Applications 9(5):459-472, 2003, with B. Aulbach.

• Existence and uniqueness of risk-sensitive estimates. IEEE Transactions on Automatic Control 47(11):1945-1948, 2002, with J. Lo.

• Enstrophy dynamics of stochastically forced large-scale geophysical flows. Journal of Mathematical Physics 43(5):2616-2626, 2002, with D. Blömker and J. Duan.

Professional Awards and Invitations

• Department of Energy Grant, Multiscale Analysis of Nonlinear Systems using Computational Homology, 2005-2008.

• National Science Foundation Grant, Complex Transient Patterns in Phase-Field Models, 2004-2007.

• Invited lecture series at the Summer School on Conley-Index and Computational Homology, Pappenheim, Germany, September 2004.

• Invited minisymposium talk at the Fifth International Conference on Dynamical Systems and Differential Equations, Pomona, California, June 2004.

• Two invited minisymposium talks at the SIAM Conference on Mathematical Aspects of Materials Science, Los Angeles, California, May 2004.

• Invited talk at Hokkaido University, Sapporo, Japan, March 2004.

• Invited talk at the US-Japan Workshop on Dynamics and Computation, Shonan, Japan, March 2004.

Students

• Valeriy Korostyshevskiy: A Hermite Spectral Approach to Homoclinic Solutions of Ordinary Differential Equations, Ph.D. in Applied Mathematics (UMBC), 2005.

• Jonathan Desi: A Study of the Cahn-Hilliard Equation on the Unit Disk, M.S. in Applied Mathematics (UMBC), 2004.

• Eli Leyman: Solidification Phenomena in Pure Materials, Summer Research Project, 2003.

• Jonathan Desi: A Numerical Study of Nucleation in Stochastic Cahn-Morral Systems, Undergraduate Senior Thesis (UMBC), 2003.

• Jennifer Deering: Computation of the Bifurcation Structure of the Cahn-Hilliard Equation, M.S. in Applied Mathematics (UMBC), 2002.