# William Hardesty

## Contact Information:

** Office:** 147 Lockett Hall

** Email: ** whardesty at math dot lsu dot edu

** Postal Address: **

## About Me:

I am a Postdoctoral Researcher in the Department of Mathematics at Louisiana State University, working with
Pramod Achar.
I recieved my Ph.D. from the
University of Georgia in Spring 2016 under
Daniel Nakano. Here is my CV.

My research is in representation theory, with an emphasis on representations of algebraic groups in positive characteristic, and their connections with geometry.

## Research

### Preprints

- (with P. Achar, S. Riche) Integral exotic sheaves and the modular Lusztig-Vogan bijection (in preparation).
- The smoothness of integral nilpotent centralizers (in preparation).
- (with P. Achar) Calculations with graded perverse-coherent sheaves (submitted).
- The Loewy structure of modules in a singular block of $\mathsf{Rep}(G_1T)$ for $SL_{n+1}(\mathbb{k})$ (submitted).

### Published/Accepted

- (with P. Achar, S. Riche) On the Humphreys conjecture on support varieties of tilting modules (to appear, Transform. Groups).

- On support varieties and the Humphreys conjecuture in type $A$, Adv. Math. 329 (2018), 392-421.

- (with D. Nakano, P. Sobaje) On the Existence of Mock Injective Modules for Algebraic Groups, Bull. Lond. Math. Soc. 49 (2017), 806-817.

- Support varieties of line bundle cohomology groups for $G=SL_3(k)$, J. Algebra 448 (2016), 127-173.

## Collaborators:

## Teaching:

- MATH 2065: Ordinary Differential Equations (Spring 2018, LSU)
- MATH 1551: Honors Calculus I (Fall 2016, LSU)
- MATH 2250: Calculus I (Fall 2015, UGA)
- MATH 1113: Pre-Calculus (Fall 2014, UGA)
- MATH 2250: Calculus I (Spring 2014, UGA)
- MATH 1113: Pre-Calculus (Fall 2013, UGA)

Copyright © 2018 William Hardesty. All Rights Reserved.