I am a Professor of Mathematics at the University of California San Diego, where I have been since 2005. Before that I was a C. L. E. Moore Instructor at MIT (2003-2005) and an NSF Postdoctoral fellow at the University of Washington (2002-2003). I was a graduate student at the University of Michigan (1997-2002), where I studied with Toby Stafford.
My research is in noncommutative algebra. In particular I study noncommutative graded rings, and the theory of noncommutative projective geometry.
Please use the tabs above to find more detailed information about my research and teaching.
MSRI notes on noncommutative geometry
I wrote lecture notes, together with exercises, for a series of five lectures on noncommutative projective geometry which I gave at the MSRI graduate workshop in Berkeley in June 2012.
These notes are planned to be published as a book together with the lecture notes of the other courses at the workshop; further details TBA.
Here is a (current as of August 2014) copy of my CV