About me

Hi! I am a postdoctoral researcher in the group of Applied Analysis at Max Planck Institute of Leipzig, under the supervision of László Székelyhidi.

 

I received my PhD in 2023 working with Prof. Stefano Bianchini at SISSA, in Trieste.

 

My research interests are quite varied. I enjoy working on problems that I find interesting, without any particular preference for a specific area. At the moment, I'm mainly working on Bressan's conjecture on fire confinement problems, in collaboration with Stefano Bianchini (with some well-deserved breaks), and on the Shnirelman inequality with Stefan Schiffer. The fire confinement problem is particularly adventurous and exciting. The main tools we use come from Geometric Measure Theory, Euclidean Geometry, and the study of solutions to certain Delay Differential Equations.
The second problem is based on a discrete interpretation of the motion of particles in an incompressible fluid. The parallel between particle permutations (and hence Discrete Mathematics problems) and purely fluid dynamics problems (Euler equations) is, in my opinion, still a largely underexplored topic.