About me
Hi! I’m Benjamin Haïoun.
I am a post-doc at the University of Edinburgh since September 2024. Here’s my CV.
I obtained my PhD A higher-algebraic apporach to non-semisimple quantum invariants in Mathematics in Toulouse, France, in June 2024 under the supervision of Francesco Costantino and David Jordan.
My research interests lie on the bridge between low dimensional topology and higher algebra, using the cobordism hypothesis. My current project is to describe how to obtain non-semisimple variants of the Witten–Reshetikhin–Turaev TQFT from a boundary condition to a fully extended 4-dimensional TQFT analogous to Crane–Yetter. I use tools from skein theory and category theory. I study the representation theory of quantum groups, braided tensor categories, stated skein algebras, skein categories, dualizability in higher categories, and more!
Contact me: benjamin.haioun at ens-lyon.fr