I am a postdoctoral researcher of mathematics at the LAGA Laboratoire, Université Sorbonne Paris Nord. I am part of the group of Yonatan Harpaz.
Before that I was a postdoc at the University of Zurich, in Joseph Ayoub's research group. Even before, I was a PhD student at the University of Duisburg-Essen in Marc Levine's group.
My interests lie around interactions between homotopy theory and algebraic geometry, in particular within the setting of motivic homotopy theory.
I am interested in information one can gather from different motivic invariants for the study of singularities.
In my research I combine the machinery of nearby cycles with the study of invariants for schemes lying in the Grothendieck-Witt ring of the base field; these invariants refine integer-valued invariants of enumerative geometry.
Some projects I'm working on:
Feel free to contact me if you have similar interests or would like to know more. My email is firstname at math dot univ-paris13 dot fr.
based on my PhD thesis, in which I prove a local formula refining an algebraic-geomteric version of the Milnor formula on singularities.
on defining motivic Euler classes for singular varieties.
A work in progress with Emil Jacobsen is on the Picard Lefschetz Theorem for motives.
- A work in progress with Niels Feld, Yonatan Harpaz, Tasos Moulinos, and Simon Pepin Lehalleur, on trace formula for singularity categories with duality.