Interests

I study interactions between algebraic geometry, number theory, and representation theory. I am also interested in syntax. Here is an incomplete and unordered set of words and phrases I find compelling:

\(p\)-adic, nonarchimedean, adic space, perfectoid, pro-étale, overconvergent, (bounded) Robba ring, D-module, perverse sheaf, rigid cohomology, de Rham(-Witt), crystalline, \(\mathbb{A}_{\mathrm{inf}}\), prismatic, condensed, pyknotic, locally analytic representation, Langlands correspondence, Riemann-Hilbert correspondence, Beilinson-Bernstein localization, Fargues-Fontaine curve, cotangent complex, category, derived, homological, topos, derivator, categorial grammar, minimalist program, …

Papers

See also: arXiv:agrawal_s_1

Talks

Here are slides/notes for some of my past talks. If you find any errors in these, please let me know!

Miscellaneous

Here are some miscellaneous writings. If you find any errors in these, please let me know!