Edern Gillot

edern.gillot@lip6.fr
PolSys Team
Room 26-00-326 · 4 Place Jussieu · Paris

I am a PhD student in the PolSys team of the LIP6 lab, at Sorbonne Université, under the supervision of Jérémy Berthomieu and Mohab Safey El Din. My research is about designing efficient algorithms to solve systems of polynomial constraints over the real numbers. As of now, my work focuses on the computation of points per connected components of such solution sets.

Pre-prints

Computing points in connected components defined by a real inequation: algorithms, complexity and implementations, Part I

Jérémy Berthomieu, Edern Gillot, Mohab Safey El Din

May 2026

arXivHAL

Publications

Refined bit complexity for the computation of at least one point per connected component of a smooth complete intersection real algebraic set

Jesse Elliott, Mark Giesbrecht, Edern Gillot, Mohab Safey El Din, Éric Schost

Journal of Symbolic Computation, Vol. 138, 2026

JournalarXivHAL

Presentations & Posters

Journées Nationales du Calcul Formel (JNCF 2026)

Talk March 2026 · Marseille, FR

ProgramSlides

SIAM AG 2025, Mini-symposium on Computational Real Algebraic Geometry

Talk July 2025 · Madison, USA

ProgramSlides

Journées Nationales de l'Informatique Mathématique (JNIM 2025)

Poster March 2025 · Bordeaux, FR

ProgramPoster

Journées Nationales du Calcul Formel (JNCF 2025)

Talk March 2025 · Marseille, FR

ProgramSlides

Teaching

2026–2027(M1 / 4th year)~20hNumerical and Algebraic Computation Models
2026–2027(L2 / 2nd year)~40hData Structures in C
2025–2026(M1 / 4th year)~10hMasters Project Supervision
2025–2026(M1 / 4th year)~10hNumerical and Algebraic Computation Models
2025–2026(L2 / 2nd year)~40hData Structures in C
2025–2026(L2 / 2nd year)~20hIntroduction to Object Programming in Java
2025–2026(L1 / 1st year)~20hIntroduction to Programming in C
2024–2025(L3 / 3rd year)~40hIntroduction to Cryptography

Other Activities

SLMath Summer School: New perspectives on discriminants and their applications

July 2025 · Leipzig, DE

Program