Since Octobre 1st 2025, I am a full time researcher (Chargé de Recherche CNRS) in mathematics (PDE - fluid mechanics) at the Laboratoire de Mathématiques et Applications of Poitiers, France. Previsouly, I worked as a teaching assistant and a postdoc at the Institut Fourier between 2022 and 2025, funded by the ANR BOURGEONS and the Simons Collaboration On Wave Turbulence.
I did my PhD Thesis at Institut Camille Jordan, Université Claude Bernard Lyon 1, under the supervision of Dragoș Iftimie, and defended on September 15th 2022.

I study mathematically vortex structures in incompressible fluids.
A few PDEs : Euler equations, Navier-Stokes equations, SQG equations.
A few topics :

• Point-vortex dynamics : collisions, stability and instability,
• Localization and confinement of vorticity,
• Effect of the boundary in bounded planar domains,
• Vortex filaments,
• Weakly viscous interacting vortices.

Contact : martin.donati at math.univ-poitiers.fr .
My various web profiles : Google Scholar, ResearchGate, Orcid, Web of Science.

A career in mugs :