Research

My research focuses on the study of categorical objects in connection with representation theory.

I worked during my PhD. on representations of infinite dimensional Lie algebras. Currently, I work on Hecke algebras and Soergel bimodules, and in parallel I continue researching vertex (operator) algebras and their modular tensor structures. I am also interested in tensor categories and braided-enriched categories.

Articles and preprints

On rationality of C-graded vertex algebras and applications to Weyl vertex algebras under conformal flow, with Katrina Barron, Florencia Orosz Hunziker, Veronika Pedić Tomić and Gaywalee Yamskulna

Journal of Mathematical Physics (2022)

Vol. 63, No. 9, 091706 .

Kazhdan-Lusztig polynomials for affine B_2, with Aram Bingham and David Plaza

Journal of Pure and Applied Algebra (2023)

Volume 227, Issue 9, September 2023, 107385

QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators , with Carina Boyallian

Revista de la Unión Matemática Argentina (2018)

Vol. 59, No. 2, Pages 205–240 .

Lie subalgebras of the matrix quantum pseudo-differential operators, with Carina Boyallian

Advances in Mathematical Physics (2016)

vol. 2016, Article ID 9218693, 11 pages.

Geometric representation of the affine Weyl group of type B_2, in"Kazhdan-Lusztig polynomials for affine B_2"

Arxiv

ResearchGate