Research Interests
Representation Theory, Mathematical Physics
Current Employment
2023–present: Associate Professor in Algebra, Università di Parma, Italy
Previous Appointments
2020–2022: Assistant Professor, Università di Parma, Italy
2017–2020: Research Fellow, University of Edinburgh, UK
2014–2017: Assistant Professor, University of Southern California, Los Angeles, USA
2013: Research Fellow, Hebrew University of Jerusalem, Israel
Education
2013: PhD in Mathematics, Northeastern University, Boston, USA
Advisor: Prof. V. Toledano Laredo
2008: MSc in Mathematics, Sapienza Università di Roma, Italy
Advisor: Prof. C. De Concini
2006: BSc in Mathematics, Sapienza Università di Roma, Italy
Advisor: Prof. M.J. de Resmini
ASN
Abilitazione Scientifica Nazionale alle funzioni di professore universitario di Prima Fascia nel Settore Concorsuale 01/A2 – Geometria e Algebra. Validità: 24/10/2023 – 24/10/2034.
Active Research Group Affiliations
INdAM, Istituto Nazionale di Alta Matematica
Research Group GNSAGA – Gruppo Nazionale Strutture Algebriche, Geometriche ed Applicazioni
INFN, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
Research Group GAST – Gauge and String Theory
CaLISTA, COST Action 2022–2026
CA21109 – Cartan geometry, Lie, Integrable Systems, quantum group Theories for Applications
Publications and Preprints
- The R-matrix of the affine Yangian (with S. Gautam and C. Wendlandt)
Journal of the European Mathematical Society (2026). Accepted for publication.
[arXiv:2309.02377, 57pp.]. - Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras (with B. Vlaar)
Journal of the European Mathematical Society (2025), 41pp. Published online first.
[DOI] [arXiv:2203.16503] - Boundary Transfer Matrices arising from Quantum Symmetric Pairs (with B. Vlaar)
Indagationes Mathematicae 36 (2025), 33pp.
Special Issue dedicated to Tom Koornwinder.
[DOI] [arXiv:2410.21654] - Tensor K-matrices for quantum symmetric pairs (with B. Vlaar)
Communications in Mathematical Physics 406 (2025), 57pp.
[DOI] [arXiv:2402.16676] - Monodromy of the Casimir connection of a Kac-Moody algebra (with V. Toledano Laredo)
Inventiones Mathematicae 236 (2024), 124pp.
[DOI] [arXiv:1512.03041] - Pure braid group actions on category O modules (with V. Toledano Laredo)
Pure and Applied Mathematics Quarterly 20.1 (2024), 51pp.
Special Issue dedicated to Corrado De Concini.
[DOI][arXiv:2208.05331] - Generalized Schur-Weyl duality for quantum affine symmetric pairs and orientifold KLR algebras (with T. Przeździecki)
Advances in Mathematics 435 (2023), 52pp.
[DOI][arXiv:2204.04123] - On a conjecture of Khoroshkin and Tolstoj (with S. Gautam and C. Wendlandt)
International Mathematics Research Notices IMRN 2023 n.24 (2023) 17pp.
[DOI] [arXiv:2206.14857] [OWP] - Universal K-matrices for quantum Kac-Moody algebras (with B. Vlaar)
Representation Theory 26 (2022), 61pp.
[DOI] [arXiv:2007.09218] - Continuum Kac-Moody algebras (with F. Sala and O. Schiffman)
Moscow Mathematical Journal 22 (2022), 48pp.
[DOI] [ arXiv:1812.08528] - Quantization of continuum Kac-Moody algebras (with F. Sala)
Pure and Applied Mathematics Quarterly 16 (2020), 55pp.
Special Issue dedicated to Kyoji Saito.
[DOI][arXiv:1903.01413] - An explicit isomorphism between quantum and classical sl(n) (with S. Gautam)
Transformation Groups 25 (2020), 36pp.
[DOI] [arXiv:1712.03601] - Coxeter categories and quantum groups (with V. Toledano Laredo)
Selecta Mathematica (N.S.) 25 (2019), 97pp.
[DOI] [arXiv:1610.09741] - Uniqueness of Coxeter structures on Kac-Moody algebras (with V. Toledano Laredo)
Advances in Mathematics 347 (2019), 104pp.
[DOI] [arXiv:1508.01945] - A 2-categorical extension of Etingof-Kazhdan quantisation (with V. Toledano Laredo)
Selecta Mathematica (N.S.) 24 (2018), 87pp.
[DOI] [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), 45pp.
[DOI] [arXiv:1704.00713]
Lecture Notes
- The interplay of R-matrices and quantum groups
Advances in Group Theory and Applications (2025) 20, 60pp.
[DOI]
PhD Thesis
• Monodromy theorems in the affine setting, PhD Thesis hdl.handle.net/2047/d20003201
Research Grants
2024–2026
PRIN – Progetto di Ricerca di Rilevante Interesse Nazionale Algebraic Aspects of 2dQFT with reflection symmetr
PRIN ID: 2022HMBTTL - CUP: D53C24003390001
Role: co-Principal Investigator and Local Coordinator of the Research Unit at the University of Parma. Scope: Research Funds. Amount: €125,162.00
2024–2026
Progetto di Ricerca INdAM 2024 – Linea 2 Consolidator Grants Bispectrality and Boundary Phenomena in Quantum Groups CUP: E53C23001740001.
Role: Principal Investigator. Scope: Research Funds. Amount: €30,000.00
2024–2025
Progetto d’Ateneo Università di Parma Bispectrality and Boundary Phenomena in Quantum Groups
Bando di Ateneo per la Ricerca 2024 Linea D. Role: Principal Investigator. Scope: Research Funds. Amount: €23,891.00
2023–2024
Progetto d’Ateneo Università di Parma Quantum groups at root of unity and integrable systems with boundary
Bando di Ateneo per la Ricerca 2022 Linea B (Young Researchers), partially funded by Fondazione Cariparma
Role: Principal Investigator. Scope: Research Funds. Amount: €8,500.00
2021–2022
Progetto d’Ateneo Università di Parma Reflection Symmetries arising from quantum loop algebras
Bando di Ateneo per la Ricerca 2020 Linea B (Young Researchers), partially funded by Fondazione Cariparma
Role: Principal Investigator. Scope: Research Funds. Amount: €8,500.00
2020
Programma per giovani ricercatori Rita Levi Montalcini 2018 (D.M. 511 – 24/8/2020)
Role: Principal Investigator. Scope: Salary and Research Funds. Amount: €180,481.44 + €43,000.00. Notes: grant declined
2015–2017
AMS–Simons Travel Grant, AMS–Simons Foundation
Role: Principal Investigator. Scope: Research Funds. Amount: $4,000
