Hi! I'm a graduate student at Princeton university. My current interests are
in topology, and theoretical neuroscience. I'm also looking to branch out into areas of representation
theory and dynamical systems at some point or other (yeah right).
In Spring 2010 I will be at the MSRI at Berkeley, for the programs in knot homologies and symplectic geometry.
Currently I'm thinking about instanton homology, other knot homology theories, and their relationships.
Here's my (marginally related) NSF research proposal (note that there are a few egregious errors, hopefully
not enough to negate the entire thing. Read at your own risk!):
Khovanov homology, the Volume Conjecture, and Zeta functions
Here's my undergraduate thesis, more riddled with typos than errors. Though long and slightly unwieldy, it might
be of interest to someone out there:
The Volume Conjecture
Feedback on the above is highly desired and highly appreciated. Likewise for the following: