I'm an assistant professor at the University of Georgia. I'm part of the algebra research group.
My research lies in an area of algebra called geometric representation theory. I enjoy thinking about categories of perverse and coherent sheaves coming from some Lie theoretic data. Keywords related to things I've been thinking about include affine Grassmannian, affine flag manifold, exotic sheaves on the Springer resolution, generalized Springer correspondence, geometric Satake, Lusztig's character sheaves, modular representation theory, and Whittaker sheaves..
I completed my Ph.D (08.09.13) under the direction of Pramod Achar at Louisiana State University. My thesis work involved proving formality for the Springer block of (constructible) sheaves on the nilpotent cone. This required the construction of a suitable mixed version of the (equivariant, l-adic) category of sheaves on the nilpotent cone. You can find a copy of my thesis here.
- 09.09.2017 and 09.10.2017 --- AMS special session on Combinatorics and Representation Theory of Reflection Groups at University of North Texas.
- 12.04.2017 through 12.08.2017 --- Future Directions in Representation Theory at University of Sydney
- 06.04.2018 through 06.09.2018 --- Summer School on Geometric, Combinatorial, and Categorical Methods in Lie Theory at UGA.
- 10.20.2018-10.21.2018 --- AMS Special Session, Representations of Reductive groups over Local Fields and Related Topics, University of Michigan.
- 11.18.2018 through 11.24.2018 --- Oberwolfach Seminar: Character Formulas for Reductive Algebraic Groups.
- 03.15.2019-03.17.2019 --- AMS Special Session, Geometric Methods in Representation Theory, Auburn University
- 06.19.2019-06.23.2019 --- Hilbert Schemes, Categorification, and Combinatorics, UC Davis
- 01.6.2020-01.10.2020 --- IHP winter school on Categorifications, Moduli Spaces, and Representation Theory, Centre International de Rencontres Mathématiques
Formality for the nilpotent cone and a derived Springer correspondence, Adv. Math. 235 (2013), 208-236.
(with P. Achar) Parity Sheaves on the Affine Grassmannian and the Mirković–Vilonen Conjecture, Acta Math. 215, no. 2 (December 2015), 183-216.
(with P. Achar, and an appendix joint with S. Riche) The affine Grassmannian and the Springer resolution in positive characteristic, Compos. Math. 152 (2016), no. 12, 2627-2677.
(with A. Russell) Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence, in Lie algebras, Lie superalgebras, vertex algebras and related topics, 273-292,
Proc. Sympos. Pure Math., 92, Amer. Math. Soc., Providence, RI, 2016.
(with A. Russell) Formality and Lusztig's generalized Springer correspondence,
(with P. Achar) Nearby cycles for parity sheaves on a divisor with simple normal crossings,
Because everyone needs some poetry in their life:
- 08.17.2017.... Apocalypto for a Small Planet by Tess Taylor
- 08.25.2017.... Concerning the Shape of Time by Jeff Hardin
- 09.20.2017.... from obedience [the clock is on time] by Kari Edwards
- 09.28.2017.... The Sky by Natalie Shapero
- 10.05.2017.... Lines Breaking by José B. González
- 10.11.2017.... Fish ****ing by Michael Blumenthal
- 10.16.2017....If There is Something to Desire, 9, 17, 18 by Vera Pavlova
- 10.18.2017....Left-Handed Sugar by Jane Hirshfield
- 10.20.2017....This Was Once a Love Poem by by Jane Hirshfield
- 11.02.2017....René Descartes and the Clockwork Girl by Kathryn Nuernberger
- 11.15.2017....Lady Lazarus by Sylvia Plath
- 11.19.2017....Daysleep by Laura Kasischke
- 11.19.2017....The Time Machine by Laura Kasischke
- 11.19.2017....Star Turn by Graham Foust
- 11.21.2017....Good Bones by Maggie Smith
- 03.30.2018....What Seems Like Joy by Kaveh Akbar
- 03.30.2018....Imaginary Conversation by Linda Pastan
- 06.21.2018....Untitled [Do you still remember: falling stars] by Rainer Maria Rilke
- 06.21.2018....October by Helen Hunt Jackson
- 06.21.2018....My love is as a fever, longing still by Christopher Bursk
- 06.21.2018....#4 by Jane Miller
- 06.21.2018....Song [When I am dead, my dearest] by Christina Rossetti
- 06.21.2018....Killdeer by Nick Flynn
- 07.07.2018....Now by Robert Browning
- 07.07.2018....Water in Love by Ed Bok Lee
- 07.07.2018....Ways to Harm a Thing by Kaveh Akbar
- 07.11.2018....Kinky by Denise Duhamel
- 07.11.2018....Libido by Rupert Brooke
- 07.15.2018....American Sonnet for my Past and Future Assassin by Terrance Hayes
- 07.15.2018....This Page Ripped Out and Rolled Into a Ball by Brendan Constantine