Michael Sullivan SIUC, Mathematics Professor   Ph.D. University of Texas at Austin, 1992   Topological Dynamical Systems and Knot Theory   Office: Neckers A 465 Satellite View Office Phone: 618-453-6517 Email: msulliva at math.siu.edu Web Page: www.math.siu.edu/sullivan Home Page: http://galileo.math.siu.edu/~msulliva/ Summer 2008 Course: Math 221: Linear Algebra In the Fall I will teach Math 109 & Math 251 at unknown times.

Research Interests

The lay person's term for my research area is Chaos Theory. I mostly study flows on three-dimensional spaces using tools from topology, knot theory and symbolic dynamics.

My hobbies include ballroom dancing, collecting art and reading, especially Russian literature.

Selected Publications

1. (with R. Ghrist and P. Holmes) Knots and Links in Three-Dimensional Flows, Springer-Verlag, 1997. 208 pages.
2. Knot factoring. Mathematics Monthly, April 2000.
3. (with Mike Boyle) Equivariant flow equivalence of ahifts of finite type by matrix equivalence over group rings, Proceedings of the London Mathematical Society. Volume 91, Part 1 (July 2005).
4. Visually building Smale flows in S^3, Topology and Its Applications, 106 (2000), no. 1, 1-19.
5. Prime decomposition of knots in Lorenz-like templates, Journal of Knot Theory and its Ramifications Vol. 2, No. 4 (1993) 453-462.