Research
Monograph
Jan 18, 2021: A polished and concise version of my three papers on decomposition matrices and finite-dimensional representations of rational Cherednik algebras. Submitted.
Papers organized by year of appearance on the arXiv. Work in progress not listed.
2023
Decomposition numbers for unipotent blocks with small sl2-weight in finite classical groups, joint with O. Dudas, arXiv preprint.
2022
Oriented Temperley-Lieb algebras and combinatorial Kazhdan-Lusztig theory, joint with C. Bowman, M. De Visscher, N. Farrell, and A. Hazi, arXiv preprint.
The anti-spherical Hecke categories for Hermitian symmetric pairs, joint with C. Bowman, M. De Visscher, and A. Hazi, arXiv preprint.
2021
Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions, joint with C. Bowman and J. Simental, to appear in Journal of the Institute of Mathematics of Jussieu.
Decomposition numbers for the principal $\Phi_{2n}$-block of $\mathrm{Sp}_{4n}(q)$ and $\mathrm{SO}_{4n+1}(q)$, joint with O. Dudas, accepted in Annales de l'Institut Fourier.
2020
Unitary representations of type B rational Cherednik algebras and crystal combinatorics, Canadian Journal of Mathematics 75 (2023), no. 1, 140–169.
The modular Weyl-Kac character formula, joint with C. Bowman and A. Hazi, Mathematische Zeitschrift 302 (2022), no. 4, 2207-2232.
2019
On modular Harish-Chandra series of finite unitary groups, Representation Theory 24 (2020), 483-524.
Irreducible calibrated representations of periplectic Brauer algebras and hook representations of the symmetric group, joint with M.S. Im, Journal of Algebra Volume 560, 15 October (2020), pp. 442-485.
On calibrated representations of the degenerate affine periplectic Brauer algebra, joint with Z. Daugherty, I. Halacheva, and M.S. Im, Surveys in Mathematics and its Applications 16 (2021), 207-222.
The Dipper-Du Conjecture revisited, Representation Theory 25 (2021), 748-759.
2018
Generalized Mullineux involution and perverse equivalences, joint with T. Gerber and N. Jacon, Pacific Journal of Mathematics 306-2 (2020), 487--517.
Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras, joint with C. Bowman and J. Simental, Sel. Math. New Ser. 28, 29 (2022).
The affine VW supercategory, joint with M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M.S. Im, G. Letzter, V. Serganova and C. Stroppel, Sel. Math. New Ser. 26, 20 (2020).
2017
The sl∞-crystal combinatorics of higher level Fock spaces, joint with T. Gerber, Journal of Combinatorial Algebra Volume 2, Issue 2 (2018), pp. 103-145.
2016
The finite-dimensional representations of the rational Cherednik algebra of E8 when c=1/3, arXiv preprint. Has been edited, combined with its two sister papers, and submitted as a Memoir. See above.
Irreducible representations of rational Cherednik algebras for exceptional Coxeter groups, part II: some decomposition matrices of H_c(E_8) and H_c(F_4), arXiv preprint. Has been edited, combined with its two sister papers, and submitted as a Memoir. See above.
Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n), joint with M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, V. Serganova and C. Stroppel, Mathematical Research Letters Volume 26, No. 3 (2019).
2015
Character formulas and Bernstein-Gelfand-Gelfand resolutions for Cherednik algebra modules, joint with S. Griffeth, Proceedings of the London Mathematical Society 113 (2016), 868-906.
2014
Irreducible representations of rational Cherednik algebras for exceptional Coxeter groups, Part I, arXiv preprint. Has been edited, combined with its two sister papers, and submitted as a Memoir. See above.
2013
Symplectic reflection algebras in positive characteristic as Ore extensions, Communications in Algebra (2020).