I am a postdoctoral researcher of mathematics at the IMJ-PRG at Université Paris-Cité, and the LAGA Laboratoire, Université Sorbonne Paris Nord. I am part of the group of Yonatan Harpaz.
Before that I was a postdoc in Joseph Ayoub's research group at the University of Zurich. 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:
- A
paper
based on my PhD thesis, in which I prove a local formula refining an algebraic-geomteric version of the Milnor formula on singularities (Journal of Algebra, 2025).
-
A
preprint
on defining motivic Euler classes for singular varieties.
-
A work in progress with Emil Jacobsen on the Picard Lefschetz formula for motives.
-
A work in progress with Felipe Espreafico Guelerman about motivic and real DT invariants.
- A work in progress with Niels Feld, Yonatan Harpaz, Tasos Moulinos, and Simon Pepin Lehalleur, on trace formula for singularity categories with duality.
- A work in progress with Stephen McKean, Anubhav Nanavaty, and Jesse Pajwani, on motivic invariants of morphism pairs (a one level higher version of the quadratic Euler characteristic).
Feel free to contact me if you have similar interests or would like to know more. My email is firstname dot lastname at imj-prg dot fr.