Publications
J Fasquel, Z Fehily, E Fursman, S Nakatsuka - Connecting affine W-algebras: A case study on $\mathfrak{sl}_4$, arXiv:2408.13785 (math.QA).Â
J Fasquel, E Fursman, D Ridout - Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules, arXiv:2605.19708, (math.QA).
Ongoing Research Projects
Reduction for relaxed modules of sl(2) and their spectral flows (joint: David Ridout and Justine Fasquel)
Reduction functors for non-semisimple categories of sl(2)-modules
Construction of logarithmic modules with non-semisimple heisenberg actions (joint: Christopher Raymond)
Construction of q-deformed W-algebras via cluster algebra techniques (joint: Jean-Emile Bourgine and Mikhail Bershtein)
Research Support
Australian Government Research Training Program (RTP) Scholarship (2023-2026)