Overview

I study algebraic geometry: more specifically, I am interested in \(p\)-adic cohomology theories and \(p\)-adic analytic geometry.

Here are some mathematical phrases that I find exciting/intriguing: \(p\)-adic, nonarchimedean, adic space, perfectoid, pro-étale, overconvergent, (bounded) Robba ring, (arithmetic) D-module, rigid cohomology, de Rham(-Witt), crystalline, cotangent complex, (higher) category, derived, homological, topos, derivator, non-noetherian, …

I completed my PhD at UC Berkeley in 2018. My advisor was David Nadler.

Papers

All papers at arXiv.org/a/agrawal_s_1.

My PhD thesis is available here. There are a few typos in this document, but they’re not terribly serious. The arXiv and published versions correct these typos, but they do omit some of the expository content that’s in my thesis.

Talks

Here are some slides and/or notes for some of the talks I’ve given.

If you find errors in any of these, please let me know!

Miscellaneous

Here are some miscellaneous mathematical writings.

If you find errors in any of these, please let me know!