Louis Gaillard

I am a PhD student in the LIP (Laboratoire de l'Informatique et du Parallélisme) at ENS de Lyon, in the team Pascaline (formerly AriC).

I am supervised by Alin Bostan, Bruno Salvy, and Gilles Villard.

My research interests lie in computer algebra, particularly algorithms for linear differential equations and recurrences.

Publications

• Degree bounds for linear differential equations and recurrences,
  Louis Gaillard, 2026, Preprint [hal]
• A unified approach for degree bound estimates of linear differential operators,
  Louis Gaillard, 2025, Proc. ISSAC 2025, Guanajuato, Mexico [doi] [hal] [slides]
• Solving parameter-dependent semi-algebraic systems,
  Louis Gaillard and Mohab Safey El Din, 2024, Proc. ISSAC 2024, Raleigh (NC), USA [doi] [hal] [slides]
• On the order of power series and the sum of square roots problem,
  Louis Gaillard and Gorav Jindal, 2023, Proc. ISSAC 2023, Tromsø, Norway [doi] [arXiv]