publications

2026+

1. Computing in the asymptotic category

   Ben Elias, Liam Rogel, and Daniel Tubbenhauer

   2026+

   In preparation

   Bib

   @misc{elias2025computingasymptotic,
     title = {Computing in the asymptotic category},
     author = {Elias, Ben and Rogel, Liam and Tubbenhauer, Daniel},
     year = {2026+},
     note = {In preparation},
   }

2. DiagrammaticHecke.jl: a Julia package for the diagrammatic Hecke category

   Liam Rogel

   2026+

   In preparation

   Bib HTML Code

   @software{DiagrammaticHecke,
     author = {Rogel, Liam},
     title = {{DiagrammaticHecke.jl}: a {J}ulia package for the diagrammatic {H}ecke category},
     year = {2026+},
     note = {In preparation},
     url = {https://github.com/rogeliam/DiagrammaticHecke.jl},
   }

3. Circular leaves for the diagrammatic Hecke category

   Liam Rogel

   2026+

   In preparation

   Bib

   @unpublished{Ro-circular-leaves,
     author = {Rogel, Liam},
     title = {Circular leaves for the diagrammatic {H}ecke category},
     year = {2026+},
     note = {In preparation},
   }

2026

1. Asymptotic Hecke Categories

   Liam Rogel

   2026

   DOI Bib

   @phdthesis{Rogel2026,
     author = {Rogel, Liam},
     title = {Asymptotic Hecke Categories},
     type = {doctoralthesis},
     pages = {IX, 149},
     school = {Rheinland-Pf{\"a}lzische Technische Universit{\"a}t Kaiserslautern-Landau},
     doi = {10.26204/KLUEDO/9643},
     url = {https://nbn-resolving.de/urn:nbn:de:hbz:386-kluedo-96434},
     year = {2026},
   }

2. The center of the asymptotic Hecke category and unipotent character sheaves

   Liam Rogel and Ulrich Thiel

   Representation Theory, 2026

   DOI arXiv Bib HTML

   @article{rogel2026centerasymptoticheckecategory,
     title = {The center of the asymptotic Hecke category and unipotent character sheaves},
     author = {Rogel, Liam and Thiel, Ulrich},
     journal = {Representation Theory},
     volume = {30},
     pages = {196--227},
     year = {2026},
     publisher = {American Mathematical Society},
     doi = {10.1090/ert/714},
   }

2025

1. Idempotents, traces, and dimensions in Hecke categories

   Ben Elias, Liam Rogel, and Daniel Tubbenhauer

   2025

   Bib

   @misc{elias2025idempotentstracesdimensionshecke,
     title = {Idempotents, traces, and dimensions in Hecke categories},
     author = {Elias, Ben and Rogel, Liam and Tubbenhauer, Daniel},
     year = {2025},
     archiveprefix = {arXiv},
     primaryclass = {math.RT},
     url = {https://arxiv.org/abs/2507.10061},
   }