Hadrien Brochet

I am a PhD student in the MATHEXP team at Inria Saclay under the supervision of Frédéric Chyzak and Pierre Lairez. My interests lie in computer algebra and experimental mathematics. My PhD thesis focuses on creative telescoping and computational D-module theory.

Publication

• Faster multivariate integration in D-modules
With F.Chyzak and P. Lairez, submitted in April 2025
• Reduction-Based Creative Telescoping for Definite Summation of D-finite Functions
With B.Salvy, published in nov. 2024

Software

• MultivariateCreativeTelescoping
It is a Julia package to perform multivariate integration of D-finite functions using creative telescoping. This package comes with its own implementation of Weyl algebras and non-commutative Gröbner bases.
• CreativeTelescoping
It is a Maple package to perform definite summation and integration of D-finite functions using creative telescoping.

Talks

• Domoschool 2024: A Reduction-Based Creative Telescoping Algorithm for Multiple Integrals slide
• JNCF 2024: A Reduction-Based Creative Telescoping Algorithm for Multiple Integrals slide
• ACA 2023: Reduction Based Creative Telescoping for Summation of D-finite Functions slide
• JNCF 2023: Faster symbolic integration in D-modules slide

Poster

• Holonomic techniques for Feynman integrals 2024: A Reduction-Based Creative Telescoping Algorithm for Multiple Integrals and an application to counting k-regular graphs poster

Teaching

• 2023-2024: Topology and multivariable calculus
• 2022-2023: Computer Programming