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/
 

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.

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.

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