I am currently a postdoc at the Hebrew University of Jerusalem (October 15, 2023 - October 14, 2025). Previously, I received my Ph.D. from the University of Chicago under Benson Farb.
I’m interested in combinatorial questions connected to the algebraic geometry/topology of varieties/manifolds (or the converse). Examples include Euler characteristic-like invariants such as characteristic polynomials of linear subspace arrangements (e.g. encoded by h-vectors of simplicial complexes) along with algebro-geometric properties of matroids. Some topics I'm currently thinking about include questions related to intrinsic geometric properties in the context of gamma positivity or real-rootedness of invariants involved in triangulations of manifolds or wonderful compactifications and how they interact with characteristic classes and group actions (e.g. how close they are to being uniquely defined by them). Their “minimal building blocks” also led to my interest in equality cases of mixed volume inequalities from the perspective of the exponents in addition to those of the polytopes.
Here is my CV. Further details are listed in the tabs above.
Contact information:
Email: lalaland [dot] cappelletti [at] gmail [dot] com
An older version was created using Zev Chonoles' guide. The current version is on Google Sites.