This semester (Spring 2008), I am in charge of a Calculus III recitation: Math 241 BD4

My research interests lie in the areas of symplectic and contact geometry/topology. In particular, my research often deals with symplectic and contact manifolds equipped with a suitably "nice" (Hamiltonian) Lie group action. Within this framework, I have studied certain types of geodesic flows on Riemannian manifolds. I am currently trying to generalize results in symplectic geometry to the presymplectic world, restricting attention to allow only prescribed degeneracies of a closed two-form.

Some math stuff I've been doing:

• Paper: Obstructions to toric integrable geodesic flows in dimension 3 published in Annals of Global Analysis and Geometry.

• I'm currently writing another paper, tentatively titled "Toric Integrable Geodesic Flows on Odd-Dimensional Manifolds" with Sue Tolman. I will post it here when it's ready for public viewing

Math Related

• Lecture notes for Eugene Lerman's differential geometry course (TeXed by David Rose, any and all mistakes are his and not Prof. Lerman's).
• Lecture notes for Eugene Lerman's course on Lie groups (TeXed by yours truly, any and all mistakes are mine and not Prof. Lerman's).
• Allen Hatcher's Web page with a downloadable copy of his algebraic topology text and some other unfinished works.
• PlanetMath An excellent online resource for topics mathematical.
• The American Mathematical Society

Good Deeds

• Heifer International
• The Humane Society of the United States
• Bat Conservation International

Hobby Related

• Everything SG! A webpage devoted to the greatest guitar ever made: the Gibson SG.
• ModSquadHockey
• National Hockey League
• Illini Hockey
• HomeBrewTalk

• (Non-Mathematical) Things I like
• My cats are brats

I should probably say something about the University of Illinois not being responsible for any opinions or views or whatever expressed on this page. Hm, well I just did.