I am a mathematician, working in geometric representation theory, with an emphasis on the modular representation theory of reductive algebraic groups, and in related areas of geometry and combinatorics. I have been an Assistant Professor of Mathematics at Westlake University, a Research Fellow in the School of Mathematics and Statistics at the University of Sydney, and a Postdoctoral Researcher at Louisiana State University. I recieved my Ph.D. from the University of Georgia in 2016 under the supervision of Daniel Nakano.

- On the centralizer of a balanced nilpotent section.

Preprint**arXiv:1810.06157**, 21 pp. (submitted)

- (with P. Achar) Silting complexes of coherent sheaves and the Humphreys conjecture.

To appear in**Duke Mathematical Journal**, 32 pp. - (with P. Achar) Co-t-structures on derived categories of coherent sheaves and the cohomology of tilting modules.

To appear in**Representation Theory of the American Mathematical Society**, 35 pp. - (with P. Achar) Nilpotent centralizers and good filtrations.

**Transformation Groups**(2022). - (with P. Achar, S. Riche) Integral exotic sheaves and the modular Lusztig-Vogan bijection.

**J. London Math. Soc.**106 (2022), 2403-2458. - (with P. Achar, S. Riche) Representation theory of disconnected reductive groups.

**Documenta Mathematica**, (2020), 25, 2149-2177. - Explicit calculations in an infinitesimal singular block of $SL_n$.

**Proceedings of the Edinburgh Mathematical Society**, 65(1), (2022), 19-52. - (with P. Achar, S. Riche)
Conjectures on tilting modules and antispherical $p$-cells.

To appear in**RIMS Kôkyûroku Bessatsu**, 20 pp. - (with P. Achar) Calculations with graded perverse-coherent sheaves.

**The Quarterly Journal of Mathematics**, Volume 70, Issue 4 (2019) 1327-1352. - (with P. Achar, S. Riche) On the Humphreys conjecture on support varieties of tilting modules.

**Transformation Groups**24, 597-657 (2019). - On support varieties and the Humphreys conjecture 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.

Pramod Achar, Daniel Nakano, Simon Riche, Paul Sobaje

- 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.