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Email: zacfehily [at] gmail [dot] com
I am a secondary school teacher. In a past life, I was a Research Fellow at the School of Mathematics and Statistics at The University of Melbourne. My research focused on the representation theory of vertex operator algebras and associated mathematical creatures.Β
Papers
Connecting affine W-algebras: A case study on sl4 Β - J.Fasquel, Z.Fehily, E.Fursman, S.NakatsukaΒ π
Inverse reduction for hook-type W-algebras - Z.Fehily Β π
Subregular W-algebras of type A - Z.Fehily Β π
Modularity of Bershadsky-Polyakov minimal models - Z.Fehily, D.Ridout π
Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras - Z.Fehily, K.Kawasetsu, D. Ridout π
Theses
Talks
Introduction to Supersymmetry - Highlights in Mathematical Physics, 2024Β ππ₯
Triangularity and Inverse Reduction - Vertex Algebras, Tensor Categories and Related Topics, 2024Β π
The Path of Hooks- UniMelb Mathematical Physics Seminar, 2023Β π
Exploring Subregular W-algebras - PhD Completion Seminar, 2022Β π
Relating W-algebras using inverse quantum hamiltonian reduction- ANZAMP Annual Meeting, 2022Β π
Understanding Subregular W-algebras -Subfactors, Vertex Operator Algebras, and Tensor Categories, 2021Β π
Subregular W-algebras - Rocky Mountain Representation Theory Seminar, 2021Β ππ₯
Modularity in Logarithmic Conformal Field Theories - UniMelb Mathematical Physics Seminar, 2021Β π
Relaxed Highest-Weight Modules for Bershadsky-Polyakov Algebras - Vertex Operator Algebras and Related Topics in Kumamoto, 2020Β π
Modularity in Logarithmic Conformal Field Theories - 64th AustMS Annual Meeting, 2020Β π
W-Algebras related to sl(3) - ANZAMP Annual Meeting, 2020Β π
Relaxed Highest-Weight Modules for Bershadsky-Polyakov Algebras - 63rd AustMS Annual Meeting, 2019Β π
Representation Theory of Non-Rational Vertex Operator Algebras - PhD Confirmation Seminar, 2019Β π
Supersymmetry and Superspace - Masters Research Presentation, 2017Β π
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