Publications | my author profile on Google Scholar | My Thesis Students |
Main Research interest: Topology & Geometry
Ideas combining low-dimensional topology & geometry, often with a bit of physics thrown in. Some examples:
- helicity of 3-dim. (and 2n+1-dim.) vector fields
- writhe of knots & other geometric/physical knot theory concerns
- ropelength of knots & its applications
- symmetries of knots & links
Voting Theory
In my spare time, I think about voting theory.
- the geometry (polytopes) & combinatorics (posets) of weighted voting
- a new power index
- applications of topology to ranking
- exit polls: my first-year seminar conducted (successfully!!!) an exit poll for Forsyth County in the 2008 election
Window on Wake Forest: my discussion of math and voting, Nov. 2008
My two advisors and me, April 2004
Herman Gluck, me, and Dennis DeTurck