When I'm not doing physics, I have an interest in the mathematics of elections. I'll eventually add more content to this page to explain what the mathematical theory of elections is all about (there's more to it than just counting votes) and why anybody should care.
For now, however, click on the link below to see a manuscript that I'm working on. The manuscript is a work in progress. At the moment, I have sections introducing the problem and the formalism, and some of the first results. The bigger results are next on the agenda. Everything after section 6 is a bunch of notes to myself in my own jargon and shorthand, so ignore everything from section 7 onward (except the bibliography, which is at the end).
So check this out and send me feedback:
Voting methods that protect voters' first choices: A geometric construction (.pdf)