Research Interests
My research is in Representation Theory, with a special focus on
the interplay between algebra, geometry and combinatorics in quantum groups.
I am interested in infinitedimensional Lie algebras, quantum groups and braid groups, quantization and deformation
theory, integrable systems, hyperplane arrangements, and categorification.
A concise explanation of my research activity is given in this
Research Summary.
For a more detailed description see here.
Publications and Preprints
[arXiv]

A 2categorical extension of EtingofKazhdan quantisation functor
(with V. Toledano Laredo)
To appear in Selecta Mathematica N.S. (2018)
[DOI Link]
[arXiv:1610.09744]
pp.89.

A DGextension of symmetric functions arising from higher representation theory
(with I. Egilmez, M. Hogancamp, A. Lauda)
To appear in Journal of Combinatorial Algebra (2018)
[arXiv:1704.00713]
pp.34.

Uniqueness of quasiCoxeter structures on KacMoody algebras
(with V. Toledano Laredo)
[arXiv:1508.01945]
pp.61 (submitted)

An explicit isomorphism between quantum and classical sl(n)
(with S. Gautam)
[arXiv:1712.03601]
pp.33 (submitted)

QuasiCoxeter categories and quantum groups (with V. Toledano Laredo)
[arXiv:1610.09741]
pp.40

Monodromy of the Casimir connection of a KacMoody algebra
(with V. Toledano Laredo)
[arXiv:1512.03041]
pp.48

QuasiCoxeter categories and a relative version of EtingofKazhdan quantization functor
(with V. Toledano Laredo)
Notes on
[arXiv:1212.6720]

Monodromy theorems in the affine setting
PhD Thesis on [IRis]