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:
A motivic refinement for the Milnor formula on quasi-homogeneous singularities, based on my PhD thesis (Journal of Algebra, 2025).
A preprint on the Picard-Lefschetz formula for motives, joint with Emil Jacobsen.
A
preprint
on defining motivic Euler classes for singular varieties.
A work in progress about motivic and real DT invariants, with Felipe Espreafico Guelerman.
A work in progress on a trace formula for singularity categories with duality, with Niels Feld, Yonatan Harpaz, Tasos Moulinos, and Simon Pepin Lehalleur.
A work in progress on a higher quadratic Euler characteristic, with Stephen McKean, Anubhav Nanavaty, and Jesse Pajwani.
You are welcome 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.