I received my Ph.D. from Northeastern University in Boston in 2013. Subsequently, I have held several postdoctoral positions: at the Hebrew University of Jerusalem (2013), at the University of Southern California in Los Angeles (2014-2017), and at the University of Edinburgh (2017-2020). I am at the University of Parma since 2020.
My research is in Representation Theory and Mathematical Physics. My interests include Lie algebras and Kac-Moody algebras, quantum groups, Yangians and quantum loop algebras, classical and quantum integrable systems, Coxeter and Artin groups, combinatorics, and categorification.
I am accepting Ph.D. students. Potential candidates are encouraged to contact me.
Publications
- Monodromy of the Casimir connection of a symmetrisable Kac–Moody algebra (with V. Toledano Laredo).
Inventiones Mathematicae (2024), 104pp.
arXiv:1512.03041. - Pure braid group actions on category O modules (with V. Toledano Laredo).
Pure and Applied Mathematics Quarterly (2024), 52 pp.
arXiv:2208.05331. - Generalized Schur-Weyl duality for quantum affine symmetric pairs and orientifold KLR algebras (with T. Przezdziecki).
Advances in Mathematics 435 (2023), Part B, 109383, 52pp.
DOI:10.1016/j.aim.2023.109383 arXiv:2204.04123. - On a conjecture of Khoroshkin and Tolstoy (with S. Gautam and C. Wendlandt).
International Mathematics Research Notices - IMRN, 2023 (2023) no.24, 17pp. DOI:10.1093/imrn/rnac334. arXiv:2206.14857. Oberwolfach Report. - Universal K-matrices for quantum Kac–Moody algebras (with B. Vlaar).
Representation Theory 26 (2022), 61pp.
DOI:10.1090/ert/623. arXiv:2007.09218. - Continuum Kac–Moody algebras (with F. Sala and O. Schiffmann).
Moscow Mathematical Journal 22 (2022) no.2, 48pp.
DOI:10.17323/1609-4514-2022-22-2-177-224. arXiv:1812.08528. - Quantization of continuum Kac–Moody algebras (with F. Sala).
Pure and Applied Mathematics Quarterly 16 (2020) no.3, 55pp.
DOI: 10.4310/PAMQ.2020.v16.n3.a5. arXiv:1903.01413. - An explicit isomorphisms between quantum and classical sln (with S. Gautam).
Tranformation Groups 25 (2020) no.4, 36pp.
DOI:10.1007/s00031-019-09543-6. arXiv:1712.03601. - Coxeter categories and quantum groups (with V. Toledano Laredo).
Selecta Mathematica (N.S.) 25 (2019), no.3, 97pp.
DOI:10.1007/s00029-019-0490-y. arXiv:1610.09741. - Uniqueness of Coxeter structures on Kac–Moody algebras (with V. Toledano Laredo).
Advances in Mathematics 347 (2019), 104pp.
DOI:10.1016/j.aim.2019.02.022. arXiv:1508.01945. - A 2–categorical extension of Etingof–Kazhdan quantisation (with V. Toledano Laredo).
Selecta Mathematica (N.S.) 24 (2018), no.4, 89pp.
DOI:10.1007/s00029-017-0381-z. arXiv:1610.09744. - A DG-extension of symmetric functions arising from higher representation theory (with I. Egilmez, M. Hogancamp, A. Lauda).
Journal of Combinatorial Algebra 2 (2018), no.2, 45pp.
DOI:10.4171/JCA/2-2-3. arXiv:1704.00713.