I do research in maths, and in particular in motivic approachhes to study singularities. This lies in thhe intersection of homotopy theory and algebraic geometry, and with applications to singularity theory and arithmetics.
I study invariants which often lie in the Grothendieck-Witt ring of the base field; these invariants refine integer-valued invariants of enumerative geometry, and contain information on thhe schemes over different bases.
I am currently a senior postdctoral fellow at the Weizmann Institute of Science, in the research group of Shachar Carmeli.
Before that, I was a postdoc at the IMJ-PRG at Université Paris-Cité, and the LAGA Laboratoire, Université Sorbonne Paris Nord, as part of the group of Yonatan Harpaz.
I was also a postdoc in Joseph Ayoub's research group at the University of Zurich. I completed my PhD at the University of Duisburg-Essen in Marc Levine's group.
Some projects, completed or in progress:
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.
Expository notes on computing motivic nearby cycles and their monodromy at a singular point, written for the PCMI 2024 volume.
A work on a higher motivic Euler characteristic, with Anubhav Nanavaty, and Jesse Pajwani.
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.
You are very welcome to contact me if you have similar interests or would like to know more. My email address is firstname dot lastname at weizmann dot ac dot il.