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 infinite-dimensional 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]

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

  2. A DG-extension 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.

  3. Uniqueness of quasi-Coxeter structures on Kac-Moody algebras (with V. Toledano Laredo)
    [arXiv:1508.01945] pp.61 (submitted)

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

  5. Quasi-Coxeter categories and quantum groups (with V. Toledano Laredo)
    [arXiv:1610.09741] pp.40

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

  7. Quasi-Coxeter categories and a relative version of Etingof-Kazhdan quantization functor (with V. Toledano Laredo)
    Notes on [arXiv:1212.6720]

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