CV

Current Employment

• Postdoctoral Researcher at Université de Toulon
  • Supervisors : Thierry Champion and Guy Bouchitté

Education

• Ph.D in Applied Maths, Heriot-Watt University / University of Edinburgh, 2025
  • Supervisors : David Bourne and Beatrice Pelloni
• Bachelor of Arts in Math-Physics, Reed College, 2021

Teaching Experience

• Fall 2024: Teaching Associate
• Fall 2022 - Spring 2025: Teaching Assistant
  • Heriot-Watt University
  • Duties included: Face to face tutorials

Publications

Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators

Usman Hafeez, Theo Lavier, Lucas Williams, Lyudmila Korobenko. (2021) "Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators." EJDE. No. 82, pp. 1-19

An immersed boundary vector potential-vorticity meshless solver of the incompressible Navier–Stokes equation

Bourantas GC, Zwick BF, Lavier TP, et al. An immersed boundary vector potential-vorticity meshless solver of the incompressible Navier–Stokes equation. Int J Numer Meth Fluids. 2023; 95(1): 143–175. doi:10.1002/fld.5146

Semi-Discrete Optimal Transport Techniques for the Compressible Semi-Geostrophic Equations

David Bourne, Charlie Egan, Theo Lavier, Beatrice Pelloni. (2025) "Semi-Discrete Optimal Transport Techniques for the Compressible Semi-Geostrophic Equations."

Optimal Transport Techniques for Atmospheric Dynamics

Théo Philippe Lavier. (2025). "Optimal Transport Techniques for Atmospheric Dynamics." Heriot-Watt University.

A Semi-Discrete Optimal Transport Scheme for the 3D Incompressible Semi-Geostrophic Equations

Théo Lavier, A semi-discrete optimal transport scheme for the 3D incompressible semi-geostrophic equations, IMA Journal of Applied Mathematics, 2025; hxaf023, https://doi.org/10.1093/imamat/hxaf023

Talks

Optimal transport and the compressible semi-geostrophic equations

June 06, 2023

Talk at Fourth AGM Meeting Geophysical Fluid Dynamics, Edinburgh, Scotland, UK

Optimal transport and the compressible semi-geostrophic equations

March 27, 2024

Talk at Maxwell Institute Analysis Day, Edinburgh, Scotland, UK

Optimal transport and the compressible semi-geostrophic equations

October 29, 2024

Talk at Basque Centre for Applied Mathematics - Maxwell Institute Joint Analysis Conference, Edinburgh, Scotland, UK

Service and Leadership

• Organized a mini-course; ‘School on Weak Optimal Transport, Wasserstein Barycenters and Applications’; More information here
• Serving as student representative for maths PhD students at Heriot-Watt University; 2023 - 2025
• Organized a research afternoon; ‘Intersections in Optimisation and Fluid Mechanics’; More information here