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 with Pramod Achar. I recieved my Ph.D. from the University of Georgia in Spring 2016 under the supervision of Daniel Nakano. Here is my CV.

My research is in geometric representation theory, with an emphasis on the modular representation theory of reductive algebraic groups, and in related areas of geometry and combinatorics. See my Research Statement for a more detailed description. My papers on the arXiv can be found here.


Research

Preprints

  1. (with P. Achar) Co-t-structures on derived categories of coherent sheaves and the cohomology of tilting modules (in preparation).

  2. (with P. Achar, S. Riche) Integral exotic sheaves and the modular Lusztig-Vogan bijection (submitted).

  3. (with P. Achar, S. Riche) Representation theory of disconnected reductive groups (submitted).

  4. On the centralizer of a balanced nilpotent section (submitted).

  5. (with P. Achar) Calculations with graded perverse-coherent sheaves (submitted).

  6. Explicit calculations in an infinitesimal singular block of $SL_n$ (submitted).

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 conjecture 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.