Department of Mathematics and Computer Science
Miscellaneous
I am interested in dynamical systems, topology, and the interplay between the two. In particular, I am fascinated with the Conley index, notions of recurrence, expansiveness, homology and dynamical systems, dynamics on surfaces, symbolic dynamics, knot theory, graph theory, and mathematical billiards. I enjoy the history of mathematics, especially Euler's polyhedron formula and the birth of topology. I also enjoy recreational mathematics and puzzles.
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My CV
Download: mycompletebib.pdf
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According to the Mathematics Genealogy Project, my academic lineage is as follows...
Erhard Weigel
Gottfried Wilhelm von Leibniz (1646-1716)
Jacob Bernouli (1654-1705)
Johann Bernouli (1667-1748)
Leonhard Euler (1707-1783)
Joseph-Louis Lagrange (1736-1813)
Siméon Denis Poisson (1781-1840)
Michel Chasles (1793-1880)
Hubert Anson Newton (1830-1896)
Eliakim Hastings Moore (1862-1923)
George David Birkhoff (1884-1944)
Robert Daniel Carmichael (1879–1967)
Harold Meade Mott-Smith
Richard James Duffin
Raoul Bott (1923-2005)
Stephen Smale (1930-)
John Franks
Dave Richeson
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My Erdös number is 4 in two different ways:
Erdös->Andrzej Schinzel->Michal Misiurewicz->John Franks->Me
Erdös->Svante Janson->Steve Fisher->John Franks->Me
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American Mathematical Society
Mathematical Association of America
National Science Foundation
MathSciNet
MacTutor History of Mathematics Archive
MathWorld