Research

I do research in mathematical and geometric aspects of scattering amplitudes. My master's thesis and following work in Zurich focused on hyperelliptic polylogarithms, a type of special function defined on higher genus surfaces relevant to the integrations carried out in amplitude calculations. I am getting started with research at UC Davis to do with understanding Grassmannian geometries related to non-planar diagrams in $N = 4$ SYM.

Non-planar on-shell diagrams:

Conference Presentation, given at SwissMAP Event (Video Link) (Slides link)

Hyperelliptic polylogarithms:

Master's Thesis (Representations of Kronecker forms at higher genus)
arXiv:2406.10051 (Schottky-Kronecker forms and hyperelliptic polylogarithms)
arXiv:2409.08208 (Higher-genus Fay-like identities)