|My specialty is algebraic geometry. This means, roughly, the study of the geometric properties of solutions of systems of algebraic equations. What I love about this subject is the interplay among geometry, algebra, analysis, and number theory. I am especially interested in applying differential and integral calculus in an algebraic setting. I am also involved in "logarithmic geometry," which is a systematic way of dealing with two important phenomena in mathematics: compactification and degeneration. Currently I am studying various aspects of algebraic differential equations, especially differential equations modulo p and differential equations with log poles.|
(Version of January 15, 2016)
(email me for password)
I welcome comments and criticisms, especially corrections of mistakes, of which I fear many remain.
Current and Recent Students
I love cycling, and used to be the adviser to the Cal Cycling Club:
I also love music, especially the jazz of Patricia Barber: