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Renato Feres Department of Mathematics Campus Box 1146, Cupples I, Room 17 Washington University Saint Louis Missouri, 63130 USA. feres@math.wustl.edu +1 (314) 935 - 6752 (phone) +1 (314) 935 - 6839 (fax) |
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Math 5051 - Measure Theory and Functional Analysis I - Fall 2008.
Math 545 - Topics in Riemannian Geometry - Geometry of Physics Fall 2008.
Math 132 - Calculus II - Sections 1, 2 - Spring 2008.
Math 450 - Topics in Applied Mathematics - Computational random processes Spring 2007.
Math 523 - Introduction to Ergodic Theory Fall 2006.
Math 449 - Numerical Applied Mathematics Fall 2006.
Math 5032 - Algebra II Spring 2006.
Math 5031 - Algebra I Fall 2005.
Math 535 - Topics in Combinatorics (Spectral Graph Theory) Fall 2005.
Math 309 - Matrix Algebra Spring 2005.
Math 495 - Stochastic Processes Spring 2005.
Math 545 - Topics in Riemannian Geometry (Discrete Subgroups of Lie Groups) Fall 2004.
Math 308 - Mathematics for the Physical Sciences Spring 2004.
Math 485 - Groups, Representations, and Physics Spring 2004.
Math 350 - Topics in Applied Math. (Mathematics of Reaction-Diffusion Systems) Fall 2003.
Math 308 - Mathematics for the Physical Sciences Spring 2003.
Math 418 - Introduction to Topology and Modern Analysis Spring 2003.
Math 417 - Introduction to Topology and Modern Analysis Fall 2002.
Math 441 - Geometry I Fall 2002.
Math 100 - Foundations for Calculus Spring 2002.
Math 545 - Geometry and Probability (Stochastic calculus on Riemannian manifolds.) Fall 2001.
My main research interests lie in differential/Riemannian geometry, ergodic theory for Lie groups and their discrete subgroups, and foliation theory. For a copy of my recent preprints in pdf format, go to the list of publications . For more info see my CV.
Here are some of my expository works. For a comprehensive survey of ergodic theory for general Lie groups and their discrete subgroups, see chapter 9 of Handbook of Dynamical Systems, volume 1A (Eds.: B. Hasselblatt, A. Katok. Elsevier, 2002), written by A. Katok and myself. See also this volume edited by P. Foulon. The differentiable dynamics of semisimple Lie groups and lattices is the subject of Dynamical Systems and Semisimple Groups (Cambridge University Press, 1998). A more gentle introduction to the main result of this book is contained in my contribution to the proceedings volume (Eds.: M. Burger, A. Iozzi. Springer, 2002) of a program on Ergodic Theory, Geometric Rigidity and Number Theory, that took place at the Newton Institute for the Mathematical Sciences, in Cambridge, UK, 2000.
Two topics of current interest for me are random billiards and the Liouville problem on foliated spaces. Here are two short sets of notes for talks I gave on the subject: Liouville , random billiards.
Note to authors: I am serving on the editorial board of the journal "Discrete and Continuous Dynamical Systems - Series A." If you have a manuscript ready for submission, consider sending it to the DCDS.