Current position

postdoc at Northwestern/Simons Collab. on Perfection.

Contact

arpon.raksit@gmail.com or arpon@northwestern.edu.

Teaching

18.901: Introduction to Topology. Fall 2024 at MIT.

Research

THH(Z) and the image of J. With Sanath K. Devalapurkar. May 2025. Submitted.

A motivic filtration on the topological cyclic homology of commutative ring spectra. With Jeremy Hahn and Dylan Wilson. June 2022. Updated October 2024. To appear in Annals of Mathematics.

Hochschild homology and the derived de Rham complex revisited. July 2020. Updated September 2020. Submitted.

Motivic Gauss-Bonnet formulas. With Marc Levine. August 2018. Updated February 2020. Published in Algebra & Number Theory 14.7 (2020).

Exposition

Smash products & the J-homomorphism. September 2018. Notes.

Complex cobordism: geometry & algebra. April 2018. Updated August 2018. Talk notes.

Motivating infinity-categorical thinking. January 2017. Updated March 2017. Talk notes.

Characters in global equivariant homotopy theory. March 2015. Undergraduate thesis.