Talks & Notes

Expository write-ups and slides from various seminars and conferences.

Research Talks

Research

Isogenies, $p$-Hecke correspondences and Rapoport-Zink spaces

Jan 2026

Talk at AIM Special Session on Arithmetic Geometry of Shimura varieties at the JMM 2026

Research

Overview of the construction of derived cycles

Feb 2025

Talk at a workshop in Darmstadt on special cycles on Shimura varieties

Expository talks

Expository

BC Undergraduate Colloquium on Fermat's Last Theorem

Nov 2025

Talk targeted at undergrads about the history of Fermat's Last Theorem and its resolution by Andrew Wiles

Miscellanea

Letters

Grothendieck's letter to Illusie

Dec 1969

Letter from Grothendieck to Illusie where he sketches a proof of the smoothness of the stack truncated Barsotti-Tate groups

Old notes from graduate school

Notes

Log $p$-divisible groups after Kato

Sep 2009

Exposition of work of Kato on log $p$-divisible groups. Kato's paper is now available on the arXiv .

Notes

Commutative algebra

Sep 2007
Notes

Algebraic geometry

Sep 2007
Notes

Homological algebra

Sep 2007
Notes

Noetherian spaces

Sep 2007
Notes

Notes on sheaves

Sep 2007
Notes

Ringed spaces

Sep 2007
Notes

$D$-modules

Jan 2008

Notes from a course on $D$-modules taught by Victor Ginzburg .