I am a postdoctoral researcher at the University of Zurich, in Joseph Ayoub's research group. Before that I was a PhD student at the University of Duisburg-Essen in Marc Levine's group. My next postdoc position (2023) will be at Paris Nord University, in Yonatan Harpaz's group.
I am interested in interactions between homotopy theory and algebraic geometry. I work in the framework of 'A^1-homotopy theory' which allows one to consider 'motivic spectra', a category of a homotopic nature encompassing all (A^1-invariant, Nisnevich local) cohomology theories on smooth schemes.
In particular I am interested in information we 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; those refine integer-valued invariants from enumerative geometry.
Here is a
based on my PhD thesis, in which I prove a local formula refining an algebraic-geomteric version of the Milnor formula on singularities.
Here is a
on defining motivic Euler classes for singular varieties.