Joshua Mundinger's home page

On an identity of Hochschild:

A proof of an identity of Hochschild

Quantization of symplectic varieties in positive characteristic. This is my topic exam from 2020 at the University of Chicago. It contains an explicit formula for the first-order Frobenius-split quantization constructed by Bezrukavnikov and Kaledin.

From a talk in Kazhdan-Lusztig conjecture seminar, Winter 2020:

Regular holonomic D-modules and equivariant Beilinson-Bernstein

From a series of two lectures I gave on D-modules in the Fall of 2019:

Introduction to D-modules I

Introduction to D-modules II

I am writing a series of expository blog posts with Catherine Ray on 1/2’s that appear in mathematics, such as in the Duflo and HKR isomorphisms.

Relating the 1/2’s in Duflo and Harish-Chandra

The 1/2 in Harish-Chandra via the Fourier Transform

Note that these are hosted on Catherine’s website.