Renato's teaching and research page

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 (office phone)


TEACHING

Current courses

Past courses


RESEARCH

My main research interests lie in differential/Riemannian geometry, ergodic theory for Lie groups and their discrete subgroups, foliation theory and probability 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.

Some of the topics of my current interest are random dynamical systems, fundations of statistical mechanics, and harmonic functions and group actions. Here are a few lectures on these subjects: Harmonic functions over group actions , random billiards , catalysis. A lecture given to incoming freshmen at Wash. U. interested in science and math: Billiards and statistical physics.