Ho ottenuto il Ph.D. in Matematica alla Northeastern University di Boston nel 2013. Successivamente, ho avuto varie posizioni all'estero: Hebrew University of Jerusalem (2013), University of Southern California a Los Angeles (2014-2017) e University of Edinburgh (2017-2020). Dal 2020 sono all'Università di Parma.
La mia ricerca è in Teoria delle Rappresentazioni e Fisica Matematica. I miei interessi comprendono le algebre di Lie e di Kac-moody, i gruppi quantici, Yangiani e algebre quantiche affini, sistemi integrabili classici e quantici, gruppi di Coxeter e di Artin, combinatoria e categorificazione.
Progetti per tesi di dottorato sono disponibili in vari ambiti. Gli studenti interessati sono invitati a contattarmi.
Pubblicazioni
- Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras (with B. Vlaar).
Journal of the European Mathematical Society, to appear.
arXiv:2203.16503, 37pp. - Tensor K-matrices for quantum symmetric pairs (with B. Vlaar).
Communications in Mathematical Physics, to appear.
arXiv:2402.16676, 42pp. - 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.
DOI:10.4310/PAMQ.2024.v20.n1.a3 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.