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On September 2025, I joined the Institut de Mathématiques de Bourgogne as Maître de conférences.
Previously, I was a postdoc at the University of Melbourne. My postdoctoral mentor was 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]u-bourgogne.fr
Publications
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), ⟨10.1007/s00220-021-04294-6⟩.
OPEs of rank two W-algebras. Contemp. Math., 2025, 813(2), ⟨10.1090/conm/813⟩.
Orthosymplectic Feigin-Semikhatov duality. Sel. Math. New Ser. 2025, 31(69), ⟨10.1007/s00029-025-01070-5⟩, with Shigenori Nakatsuka.
On some simple orbifold affine VOAs at non-admissible level arising from rank one 4D SCFTs. Commun. Math. Phys., 2025, 406(30), ⟨10.1007/s00220-024-05196-z⟩, with Tomoyuki Arakawa, Xuanzhong Dai, Bohan Li, Anne Moreau.
On the structure of W-algebras in type A. Jpn. J. Math., 2025, 20(1), ⟨10.1007/s11537-025-2414-2⟩, with Thomas Creutzig, Andrew R. Linshaw, Shigenori Nakatsuka.
Modularity of admissible-level sl_3 minimal models with denominator 2. arXiv:2406.10646, accepted in Commun. Math. Phys., with Christopher Raymond, David Ridout.
Connecting affine W-algebras: A case study on sl_4. arXiv:2408.13785 with Zachary Fehily, Ethan Fursman, Shigenori Nakatsuka.
On Virasoro-type reductions and inverse Hamiltonian reductions for W-algebras and W_\infty-algebras. arXiv:2411.10694 with Vladimir Kovalchuk, Shigenori Nakatsuka.
Minimal W-algebras of so_N at level minus one. arXiv:2506.15605 with Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw, Shigenori Nakatsuka.
The OPE project (under construction)
The OPE project (under construction)
Below are examples of OPEs for vertex algebras and W-algebras you can play with. They are encoded in Mathematica notebooks, and you need to load the Mathematica package 'OPEdefs' developed by K. Thielemans in order to run these files.
W-algebras of small ranks (computed with Shigenori Nakatsuka for arXiv:2403.08212)
Reduction of universal W-algebras (OPEs computed with Vladimir Kovalchuk and Shigenori Nakatsuka for arXiv:2411.10694)
Basic free field algebras
half lattice vertex algebra (bosonisation of a beta/gamma system)
PhD
PhD
Geometry and new rational W-algebras, pdf, slides of the defense.
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