William Hardesty

Myself.

Contact Information

Email: hardes11 at gmail dot com
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About Me

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.

Additional Resources

Research

Preprints

  1. On the centralizer of a balanced nilpotent section.
    Preprint arXiv:1810.06157, 21 pp. (submitted)

Published/Accepted

  1. (with P. Achar) Silting complexes of coherent sheaves and the Humphreys conjecture.
    To appear in Duke Mathematical Journal, 32 pp.

  2. (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.

  3. (with P. Achar) Nilpotent centralizers and good filtrations.
    Transformation Groups (2022).

  4. (with P. Achar, S. Riche) Integral exotic sheaves and the modular Lusztig-Vogan bijection.
    J. London Math. Soc. 106 (2022), 2403-2458.

  5. (with P. Achar, S. Riche) Representation theory of disconnected reductive groups.
    Documenta Mathematica, (2020), 25, 2149-2177.

  6. Explicit calculations in an infinitesimal singular block of $SL_n$.
    Proceedings of the Edinburgh Mathematical Society, 65(1), (2022), 19-52.

  7. (with P. Achar, S. Riche) Conjectures on tilting modules and antispherical $p$-cells.
    To appear in RIMS Kôkyûroku Bessatsu, 20 pp.

  8. (with P. Achar) Calculations with graded perverse-coherent sheaves.
    The Quarterly Journal of Mathematics, Volume 70, Issue 4 (2019) 1327-1352.

  9. (with P. Achar, S. Riche) On the Humphreys conjecture on support varieties of tilting modules.
    Transformation Groups 24, 597-657 (2019).

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

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

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

Collaborators

Pramod Achar, Daniel Nakano, Simon Riche, Paul Sobaje

Teaching

Copyright © 2018 William Hardesty. All Rights Reserved.