Personal-Page

Thibaut Misme personal webpage

I am a PhD student at Trinity College Dublin (TCD) in Ireland (2023-2027). My work lies in Computational Number Theory. I am especially interested in explicit 2-descent for Jacobians of general curves and Theta Characteristics.

Visit my institution page.

Contact

You can contact me at mismet a t tcd.ie

Articles

• Computing Shafarevich-like groups afforded by 2-torsion representations of curves
  To appear
• Explicit generalized 2-descent on Jacobians of non-hyperelliptic curves of moderate genus
  To appear
• Computing Theta Characteristics and their Galois action on general curves of moderate genus
  • arXiv:2610.29449 (arXiv link)
• A trick to ensure positive Mordell-Weil rank
  • arXiv:2603.04100v3 (arXiv link)
  • Journal: Thibaut Misme. A trick to ensure positive Mordell–Weil rank. Polynesian Journal of Mathematics, Volume 4, Issue 15, Pages 1–14. (Sept. 2026) DOI: 10.69763/polyjmath.4.15
    You can access the article on the journal page

PARI/GP

For the sake of my research, I implement in PARI/GP, an open, free, number theory focused and efficient language. It includes a high level version that is designed for both involved and quick implementation. Visit their webpage for more infomations.