## Research

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.)

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