Greetings! I am a mathematician in the field of representation theory. Currently, I'm doing a postdoc at the University of Sydney under the supervision of Kevin Coulembier.
My research interests focus mostly on understanding the connections between supergeometry and super representation theory. In my thesis, under the supervision of Vera Serganova at UC Berkeley, I studied the generalizations of spherical varieties and symmetric varieties to the super setting.
Activities/programs I help organize
I will be organizing, with Sam Jeralds, a course on Kazhdan-Lusztig equivalences in semester 2 at the University of Sydney. Details forthcoming...
I am organizing, with Nate Harman, a special session on Representation theory and tensor categories at the joint AustMS-NZMS-AMS meeting in Auckland, NZ 2024.
I help organize the University of Sydney Algebra Seminar. If you'd like to join the mailing list or suggest a speaker, shoot me a line.
With Harini Desiraju, I organize Shut Up and Write in the Quad. See scnews for details.
Recently organized activities
Magma Mondays, organized jointly with Bregje Pauwels in the second semester of 2023.
Tensor categories and their modules: a course organized jointly with Anna Romanov in the first semester of 2024.
Preprints and publications:
(all links lead to arXiv version)
Sylow theorems for supergroups, joint with Vera Serganova and Dmitry Vaintrob
The Cartan-Helgason theorem for supersymmetric spaces: spherical weights for Kac-Moody superalgebras
A queer Kac-Moody construction, joint with Lior Silberberg.
It takes two spectral sequences, joint with Inna Entova-Aizenbud and Vera Serganova. Accepted to Journal of Algebra, special issue in memory of Georgia Benkart.
Localization theorem for homological vector fields, joint with Vera Serganova. Communications in Mathematical Physics, Vol. 405, no. 39.
Ghost distributions on supersymmetric spaces II: basic classical superalgebras, International Mathematics Research Notices, Volume 2024, Issue 5, March 2024, Pages 3706–3747
Splitting quasireductive supergroups and volumes of supergrassmannians, joint with Vera Serganova. Accepted for publication in Algebraic Geometry and Physics.
On the Grothendieck ring of a quasireductive Lie superalgebra, joint with Maria Gorelik and Vera Serganova.
On the Duflo-Serganova functor for the queer Lie superalgebra, joint with Maria Gorelik. Advances in Mathematics, Vol. 441, April 2024.
On symmetries of the Duflo-Serganova functor. Accepted for publication in the Israel Journal of Mathematics.
The Duflo-Serganova functor, vingt ans après, joint with Maria Gorelik, Crystal Hoyt, and Vera Serganova. Journal of the Indian Institute of Science, Vol. 102 (2022): 961-1000.
Layers of the coradical filtration. Journal of Algebra, Vol. 632, no. 15 (2023): 102-116.
Iwasawa decomposition for Lie superalgebras. Journal of Lie Theory, Vol. 32 (2022): 973-996.
Spherical supervarieties. Annales de L'institut Fourier, Tome 71, no 4, p. 1449-1492 (2021).
Indecomposable spherical representations of Lie superalgebras. Journal of Algebra, Volume 547, 1 April 2020, Pages 262-311
Spherical and symmetric supervarieties (PhD thesis).
From Fields-MITACS REU (2012): Omitting types and AF algebras; joint with Kevin Carlson, Enoch Cheung, Ilijas Farah, Alexander Gerhardt-Bourke, Bradd Hart, Leanne Mezuman and Nigel Sequeira : Journal for Mathematical Logic, 53, pages 157–169 (2014)