Research

Publications/preprints

1. Representations of Coxeter groups over fusion rings and hyperplane complements. Submitted.

   • Edmund Heng, Luis Paris.

   • Arxiv link 

2. Normalisers of parabolic subgroups of Artin--Tits groups and Tits cone intersections. Submitted.

   • Owen Garnier, Edmund Heng, Oded Yacobi, Anthony Licata. 

   • Arxiv link

3. Periodic elements in finite-type Artin-Tits groups and stability conditions. IMRN 2025. 

   • Edmund Heng, Anthony Licata, Oded Yacobi. 

   • DOI 

   • Arxiv link 

4. A non-semisimple non-invertible symmetry. Phys. Rev. B 2025. 

   • Clement Delcamp, Edmund Heng, Matthew Yu.

   • DOI

   • Arxiv link 

5. Stability conditions and Artin--Tits groups. Submitted 

   • Edmund Heng, Anthony Licata. 

   • Arxiv link 

6. Classification of finite type fusion quivers. Submitted. 

   • Ben Elias, Edmund Heng.

   • Arxiv link 

7. Fusion-equivariant stability conditions and Morita duality. Math. Z. 2025. 

   • Hannah Dell, Edmund Heng, Anthony Licata. 

   • DOI. 

   • ArXiv link

8. Coxeter quiver representations in fusion categories and Gabriel's theorem, Sel. Math. New Ser. 2024. 

   • Edmund Heng

   • DOI. SharedIt link. 

   • ArXiv link. 

9. Zigzag algebras and faithfulness of the 2-braid groups in type B. Journal of AustMS 2023. 

   • Edmund Heng, KieSeng Nge,

   • DOI 

   • ArXiv link 

10. Curves in the disc, the type B braid group, and the type B zigzag algebra. Quantum Topology 2023. 

    • Edmund Heng, KieSeng Nge, 

    • DOI 

    • ArXiv link

11. Categorification and Dynamics in Generalised Braid Groups, PhD Thesis. 

    • Edmund Heng, 

    • ArXiv link to updated thesis.  Note: the ANU open research repository version contains minor errors, in particular the proof of Proposition 3.3.4 is incorrect. Please refer to the arXiv version for a corrected proof (or see this paper).