Webpage of Simon Ruget

About me

I am a PhD graduate and an engineer from the École Nationale des Ponts et Chaussées, specializing in mathematical modeling, numerical simulation, and data-driven approaches for complex systems.

I am seeking opportunities to apply my expertise across sectors including quantitative finance/insurance, AI, and engineering.

You can download my CV here (english) or here (french).

You can contact me at [name].[surname]@enpc.fr.

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Skills & Expertise

Technical Skills:

Professional Skills:

Languages:

Professional Experience

PhD Researcher in Applied Mathematics | Inria Paris & École Nationale des Ponts et Chaussées | October 2022 - December 2025

I was a member of the MATHERIALS team, and of the CERMICS laboratory. My PhD supervisors were Claude Le Bris and Frédéric Legoll.

  • Developed novel mathematical methods to reconstruct effective properties of multiscale PDEs from (quantitatively and qualitatively) limited data.
  • Presentations at 8 national and international seminars (SIAM, ECCOMAS, GAMM, etc.).
  • Author of two scientific articles in preparation.
  • Supervision of 5 students (Bachelor and Master levels).
  • Keywords: PDEs | Optimization | Inverse problems | Python/C++.
  • Thesis manuscript | Slides (en) | Slides (fr).

R&D Engineer | EDF | April - September 2022

  • Designed and implemented new numerical schemes for turbulent incompressible flow simulation.
  • Authored a publication in Comptes Rendus Mécanique.
  • Keywords: Mathematical model | Numerical methods.

Research Assistant | CEA | March - August 2021

  • Developed an innovative method for computing eigenvalues of Schrödinger operators in systems with defects. This enabled efficient extraction of resonant states in quantum mechanics.
  • Authored a publication in Journal of Computational Physics.
  • Keywords: Quantum mechanics | Spectral Theory | Scientific computing.

DevOps Engineer | Thales Alenia Space | September 2020 - February 2021

  • Implementation of an integrated architecture including transport, storage and exploitation of satellite data as part of the MEOLUT NEXT project.
  • Keywords: Datalake (InfluxDB) | Dashboards | Docker | Kafka.

Personal Projects

Here are some codes related to statistical learning methods:

[-] introduction to PCA analysis (jupyter notebook available here).
[-] introduction to K-mean algorithm (jupyter notebook available here).

Research Activities

Here is a list of my publications:

[3] C. Le Bris, F. Legoll, S. Ruget, Effective approximations of solutions to highly oscillatory diffusion equations from coarse measurements, arXiv: https://arxiv.org/abs/2602.14820.
[2] M. Ferrand, J.-M. Hérard, T. Norddine, S. Ruget, Stable schemes for second-moment turbulent models for incompressible flows, Comptes Rendus. Mécanique, 2023, DOI: https://doi.org/10.5802/crmeca.202.
[1] I. Duchemin, L. Genovese, E. Letournel, A. Levitt, S. Ruget, Efficient extraction of resonant states in systems with defects, Journal of Computational Physics, 2023, DOI: https://doi.org/10.1016/j.jcp.2023.111928.

Here is a list of the conferences I attended:

[NAVIER25] Multiscale Seminar at Laboratoire Navier, École des Ponts et Chaussées, November 21st 2025, Champs-sur-Marne, France, slides.
[SMAI25] 12ème Biennale Française des Mathématiques Appliquées et Industrielles, SMAI, June 2nd 2025 - June 6th 2025, Carcans Maubuisson, France, slides.
[ROMCEP25] Reduced-Order Modeling for Complex Engineering Problems From Analysis to Practical Implementation, IMSI Insitute, January 29th 2025 - February 7th 2025, Chicago, United States, poster, slides.
[ECCOMAS24] 9th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, June 3rd 2024 - June 7th 2024, Lisbon, Portugal, slides.
[CANUM24] 46ème Congrès National d'Analyse Numérique, SMAI, May 27th 2024 - May 31st 2024, Île de Ré, France, slides.
[GAMM24] Seminar on Microstructures, GAMM, Januar 25th 2024 - Januar 26th 2024, Bochum, Germany, slides.
[FJM23] Forum des Jeunes Mathématicien et Mathématiciennes, Association Femmes et Mathématiques, November 22nd 2023 - November 24th 2023, Bruxelles, Belgium, slides.
[CJCMA23] Congrès des Jeunes Chercheurs en Mathématiques et Applications, SMAI, September 25th 2023 - September 27th 2023, Gif-sur-Yvette, France, poster.
[CSE23] Conferences on Computational Science and Engineering (CSE23), SIAM, Februar 27th 2023 - March 3rd 2023, Amsterdam, Netherlands.

Here is the list of journals for which I have done review of research articles:

Springer, Archive for Rational Mechanics and Analysis.
SIAM, SIAM Journal on Numerical Analysis.

Teaching Activities

I am also a teaching assistant at École des Ponts ParisTech. I have given the following courses:

[-] Analysis of Partial Differential Equations , 34h, 24 students (first year ENPC), webpage. This course introduces several theoretical tools (such as Banach spaces, Hilbert spaces, Lebesgue spaces, Notion of Measure Theory, Fourier Analysis, Fourier Transform, Notion of Distribution Theory, ...) to handle PDE.
[-] Partial Differential Equations: Variational and Energetical Approaches, 15h, 25 students (first year ENPC), webpage. This course focuses on the mathematical analysis of various PDEs: from Poisson equation and variants, to non-symmetric equations (such as advection-diffusion problems) and vector-valued equations (such as linear elasticity).

I have also been the supervisor of:

[-] Lucas Le Gall, Paul-Émile Marcus, Ilan Ouzen, Simon Poirson (BsC Student). The course-project lasted from January 2025 to June 2025.
[-] Ethem Colak (MsC Student). The internship lasted from June 2024 to September 2024.