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. (with P. Achar) Silting complexes of coherent sheaves and the Humphreys conjecture.
    Preprint arXiv:2106.04268, 32 pp. (submitted)

  2. (with P. Achar) Nilpotent centralizers and good filtrations.
    Preprint arXiv:2106.04374, 14 pp. (submitted)

  3. (with P. Achar) Co-t-structures on derived categories of coherent sheaves and the cohomology of tilting modules.
    Preprint arxiv:2012.06098, 35 pp. (submitted)

  4. (with P. Achar, S. Riche) Integral exotic sheaves and the modular Lusztig-Vogan bijection.
    Preprint arXiv:1810.08897, 46 pp. (submitted)

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

Published/Accepted

  1. (with P. Achar, S. Riche) Representation theory of disconnected reductive groups.
    To appear in Documenta Mathematica, 23 pp.

  2. Explicit calculations in an infinitesimal singular block of $SL_n$.
    To appear in Proceedings of the Edinburgh Mathematical Society, 25 pp.

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

  4. (with P. Achar) Calculations with graded perverse-coherent sheaves.
    To appear in The Quarterly Journal of Mathematics, 23 pp.

  5. (with P. Achar, S. Riche) On the Humphreys conjecture on support varieties of tilting modules.
    To appear in Transform. Groups, 54 pp.

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

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

  8. 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


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