
Vincent Boulard
PhD student at CERMICS (École nationale des ponts et chaussées) and LJLL (Sorbonne Université).
CV
Research Experience
- PhD in Mathematics
École nationale des ponts et chaussées & Sorbonne University, 2025 - 2028
PhD research supervised by Amaury Hayat and Emmanuel Trélat. Research topic: F-equivalence and sub-Riemannian geometric analysis for the stabilization and control of partial differential equations.
- M2 Research Internship
CERMICS & LJLL, Summer 2025
Research internship on sharp observability estimates and F-equivalence for parabolic equations, under the supervision of Amaury Hayat and Emmanuel Trélat.
- M1 Research Internship
CERMICS, Summer 2024
Research internship on F-equivalence methods for parabolic systems, supervised by Amaury Hayat.
- Awarded Research Thesis (Fermat Junior Prize)
École nationale des ponts et chaussées, Summer 2023
Thesis on control and stabilization of dynamical systems, with applications to the double pendulum, supervised by Amaury Hayat. Awarded the Fermat Junior Prize 2023.
- Research Project in Riemannian Geometry
École nationale des ponts et chaussées, Winter 2023
Research project on the evolution of dynamical systems using a differential geometric formalism, supervised by Éric Cancès.
Education
- PhD in Mathematics
École nationale des ponts et chaussées & Sorbonne University, 2025 - 2028
Title: F-equivalence and sub-Riemannian geometric analysis for the stabilization and control of partial differential equations.
- Master 2 in Mathematics (Fundamental Mathematics and Modelling track)
Sorbonne University, 2024 - 2025
Graduated with highest honors (Très bien avec félicitations du jury), average: 19.32/20.
- Erasmus Exchange Program
ETH Zurich, 2024
Semester exchange in Mathematics.
- Engineering Degree in Mathematics and Applications
École nationale des ponts et chaussées, 2022 - 2025
Major in Mathematics and Applications.
- Autonomous Preparation for CPGE Competitive Exams
Independent candidate, 2020 - 2022
Self-preparation for the French competitive exams for entry into top engineering schools (CPGE MP track) as an independent candidate during two years.
Skills
- Mathematics: Geometric analysis, Control theory, Partial differential equations, Spectral theory, Riemannian and sub-Riemannian geometry
- Programming: C/C++, Python, Julia, MATLAB, LaTeX
- Languages: French (Native), English (Fluent), German (Beginner)
- Soft Skills: Self-learning, Teaching, Pedagogy
Interests
- Academic: Mathematical analysis, Geometric methods in PDEs
- Personal: Piano (composition and improvisation), Philosophical and scientific debates