Research

I am mainly interested in quantum algebra, more specifically, in factorization homology, topological quantum field theories, skein modules.

Projects

• I am currenctly working on the factorization homology over wild character varieties.
• Together with David Jordan, Matthias Vancraeynest and Monica Vazirani, we have computed the dimension of the skein module of the genus 1 mapping tori.
• During my master thesis, I have worked on categorical probabilities, under the supervision of Pr. Kathryn Hess
• During my bachelor project, I have worked on the existence of solutions of a nonlinear wave equation as limits of minimisers to elliptic energies, under the supervision of Pr. Maria Colombo and Dr. Riccardo Tione

Preprint

• The skein partition function of the mapping torus, Julia Bierent, David Jordan, Matthias Vancraeynest and Monica Vazirani, arXiv:2511.19139.

Poster

• New perspectives on skein modules, The skein partition function of the mapping torus, CIRM, July 2025.