William Hardesty


Myself.

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 under the mentorship of 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

  1. The Loewy structure of modules in a singular block of $\mathsf{Rep}(G_1T)$ for $SL_{n+1}(\mathbb{k})$ (preprint).

Published/Accepted

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

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

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

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


Collaborators:


Teaching:


Copyright © 2018 William Hardesty. All Rights Reserved.