A Brief Introduction

I'm a fifth year graduate student in the Mathematics Department at Stanford University, and I expect to be graduating at the end of the '06-'07 school year. To the left you see a picture of me which has been compressed using the singular value decomposition from linear algebra. If you put your mouse over the image you can see the image compressed using singular values up to 41. If you'd like to see them again, just move your mouse off the image and then roll over it again. Don't know about this amazing theorem or why it should allow you to compress images? I have a quick overview of the theory available here.

My basic research interests are number theory and algebraic geometry, though more specifically I'm interested in Galois module structures of 'interesting' objects and Hilbert 90-like results. You can find copies of papers and preprints for my work on my research page.

I also enjoy teaching a great deal, and have had the good fortune of teaching both calculus and linear algebra while here at Stanford. Links for the classes I have taught so far can be found on my teaching page.