For a list of my preprints and publications, please go here.
My research is in algebraic and arithmetic geometry, with a strong number theory bias. My recent work is focused on Iwasawa theory for function fields. I am particularly interested in the development of cohomological methods and their applications to problems with an arithmetic flavor. My recent work has focused on integral p-adic de Rham cohomology and its relation to the categories of linear algebra data that show up in integral p-adic Hodge theory, with applications to Iwasawa theory, p-adic Galois representations, and p-adic modular forms. The guiding philosophy behind this work is that understanding the geometry behind the linear algebraic structures in integral p-adic Hodge theory provides powerful geometric tools for analyzing integral (and torsion) p-adic Galois representations.
I completed my Ph.D. at the University of Michigan in August 2007 under the supervision of Brian Conrad. (My mathematical family tree and lineage can be found here.)