Justine Fasquel
I am currently a postdoc at the School of Mathematics and Statistics of the University of Melbourne. My postdoctoral mentor is David Ridout. I received my Ph.D. in 2022 from the University of Lille, under the supervision of Prof. Anne Moreau (Université Paris Saclay) and Tomoyuki Arakawa (RIMS Kyoto).
Research interests:
Vertex algebras and W-algebras,
Lie algebras,
Representation theory,
Mathematical physics.
E-mail : justine.fasquel[at]unimelb.edu.au
Teaching
This semester, I'm a lecturer for Calculus 2. If you're a student enrolled in this subject, you are very welcome to drop by my office (Peter Hall building, room 197) during my consultation hours to ask questions:
Mondays 10am-12pm and Fridays 2:15-3:15pm.
Publications
Rationality of the exceptional W-algebras W_k(sp(4),f_{subreg}) associated with subregular nilpotent elements of sp(4). Commun. Math. Phys., 2022, 390 (1), pp.33-65. ⟨10.1007/s00220-021-04294-6⟩
OPEs of rank two W-algebras. To appear in Contemp. Math., arXiv:2210.15728.
Orthosymplectic Feigin-Semikhatov duality. arXiv:2307.14574 with Shigenori Nakatsuka.
On a series of simple affine VOAs at non-admissible level arising from rank one 4D SCFTs. arXiv:2403.04472 with Tomoyuki Arakawa, Xuanzhong Dai, Bohan Li, Anne Moreau.
On the structure of W-algebras in type A. arXiv:2403.08212 with Thomas Creutzig, Andrew R. Linshaw, Shigenori Nakatsuka.
Upcoming schedule (conferences, visits)
May 2024: Integrable systems and automorphic forms, Lille (France).
June 2024: Vertex algebras, geometric representation theory and quantum groups, CIRM (France).
June 2024 : Topology, representation theory and higher structures, Gaelic College, Sabhal Mòr Ostaig (Isle of Skye).
October 2024: WIMSIG Conference, SMRI (Sydney) (co-organizer special session Math. Physics and Symmetry).
November 2024: Tensor Categories, Quantum Symmetries, and Mathematical Physics, Matrix (Australia) (co-organizer).
December 2024: Joint meeting of the NZMS, AustMS and AMS, University of Auckland (New Zealand) (co-organizer special session Math. Physics).
PhD
Geometry and new rational W-algebras, pdf, slides of the defense.