Open positions

Do not hesitate to contact me if you are interested in one of the following opportunities:

• Preparing a PhD on a computer algebra subject.
• Being a PostDoc in a computer algebra team (PolSys team).
• Preparing a Master’s thesis on a computer algebra topic.
• [to be confirmed for the 2026 edition] Carrying out a Google Summer of Code (GSoC) project within the SageMath organization.

Research interests

My primary interest is the design of fast algorithms in computer algebra, and more particularly for computations with polynomials both in univariate contexts (Hermite-Padé approximation, linear system solving, basis reduction, Hermite normal form) and multivariate settings (interpolation, polynomial system solving, change of monomial order, syzygies).
The basic problems mentioned above are ubiquitous in algebraic computations, and I am also interested in studying specific contexts where they occur. This involves error-correcting codes (e.g. the Guruswami-Sudan list-decoding algorithm for Reed-Solomon codes and AG codes), as well as cryptography (e.g. in algebraic cryptanalysis).

Software development is a significant part of my research activity (more details here):

• GitHub profile: https://github.com/vneiger/
• co-creation of PML (Polynomial Matrix Library): https://github.com/vneiger/pml
• co-lead developer of msolve: https://msolve.lip6.fr/ | https://github.com/algebraic-solving/msolve
• developer for FLINT: https://flintlib.org/ | https://github.com/flintlib/flint
• developer for SageMath: https://www.sagemath.org/ | https://github.com/sagemath/sage

Career path

Currently, I am a Maître de Conférences (teaching and research permanent position) at Sorbonne University / Faculty of Science and Engineering / PolSys team.

From September 2017 to August 2021, I have been working as a Maître de Conférences in the Computer Algebra Group of XLIM Research Institute, with my teaching at the Faculty of Science and Technology of University of Limoges.

From December 2016 to August 2017 I have been working at DTU Compute in the Algebra Group of the Department of Applied Mathematics and Computer Science. I was a postdoctoral researcher, supervised by Johan Rosenkilde, within the H.C. Ørsted program of the Technical University of Denmark.

On November 30, 2016, I defended my PhD thesis: thesis document PDF / defense slides PDF.
My PhD research and teaching took place at

• the ENS de Lyon (sept. 2013–nov. 2016) — directors: Claude-Pierre Jeannerod and Gilles Villard,
• Western University (sept. 2013–june 2015) and the University of Waterloo (july 2015–nov. 2016) — director: Éric Schost.

In 2013, I passed the “Agrégation” competitive exam in Mathematics and also earned a Master’s Degree in Teaching (specializing in Mathematics and Experimental Sciences) at the ENS de Lyon.
In 2012, I earned a Master’s Degree in Fundamental Computer Science at the ENS de Lyon.