About me

I have a post-doctorate position in the Laboratoire Jacques Louis Lions in Paris.
My research mostly focus on first order non-linear equations, you can find more about it in the research section.
These equations can model the pedestrian flow in evacuation contexts. You can find results of simulations in the simulation section.
Apart from the theoretical research, I also create synthesizers and scenography. These activities have their respective sections.

Research

Topics

  • Discontinuous scalar conservation law - entropy solutions, dissipative germs, finite volume schemes.
  • Macroscopic pedestrian flow models - non-linear coupling, fixed point arguments, splitting methods.
  • Discontinuous Hamilton-Jacobi-Bellman equations - viscosity solutions, flux-limited solutions, finite difference schemes.
  • Eikonal equation - Monge solutions, fast marching methods.

Presentations and publications

An abstract existence result for generalised Hughes’ model

Presented in Roma, Bangalore, Rouen and Tours

Pedestrian crowd models

Introductive presentation in Nouant-Le-Fuzelier

Existence and numerics for Hughes' model

Presented in Orleans and Valparaiso

A numerical scheme for the discontinuous Eikonal equation

Presented in Besançon

On the correspondence between Hamilton-Jacobi equations and scalar conservation laws.

Presented in Besançon

Macroscopic pedestrian flows: from Hughes’ model to mean field games.

Presented in Montpellier


Teachings

I teach mathematics and computer science in the university of Tours and the Supinfo school. Here is a list of the subject I taught:

  • Linear algebra (Supinfo), Algebra III (Université de Tours)
  • Analysis III (Université de Tours)
  • Geometry (Université de Tours)
  • Python programming (Université de Tours), C programming (Supinfo)
  • Internet of things and embedded systems (Supinfo)
  • Mathematical reasonning (Université de Tours), Mathematical tools for biology students (Université de Tours)
  • Advanced SQL (Supinfo)
  • Supply chain and software engineering (MECEN, Université de Tours)

Supports de cours

Applied graph theory

For MECEN students

Projects and ressources

Musical instruments

The musical instruments I make are synthesizers inspired by wind instruments. The Polyclav is a numeric modular synth made to be compatible with the DM48 midi harmonica from Lekholm instruments. The Soubasynth is a synth inspired by the sousaphone. The Brassynth is an improved and portable version of the Soubasynth compatible with trombone and trumpet mouthpieces. The Soubasynth and the Brassynth both use a Bela board. This constructor made a post about my instruments on their blog.

Soubasynth

Brassynth

Polyclav

Scenography

Pole dance platforms with wheels

Scenography for a fanfare show

LED signs for a music festival

Metal jellyfish for a techno event

Giant teapot for a music festival

Scuttle lights for a music festival

Contact

You can contact me by e-mail at theo.girard /@/ math.cnrs.fr
Bureau : E1350 bâtiment E2
Faculté Sciences et techniques, Campus Grandmont
40 avenue Monge 37200 Tours, France