Research

I do research in mathematical and geometric aspects of scattering amplitudes. My current projects at UC Davis focus most on understanding Grassmannian geometries related to non-planar on-shell diagrams in $N = 4$ SYM.

Non-planar on-shell diagrams:

Geometry of non-planar on-shell diagrams
Presentation at SwissMAP Event (Video Link) (Slides link)
Grassmannian Geometries for Non-Planar On-Shell Diagrams
arXiv:2512.25005 with U. Oktem, M. Sherman-Bennett, J. Trnka

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.

Hyperelliptic polylogarithms:

Representations of Kronecker forms at higher genus
Master's Thesis supervised by N. Beisert and J. Broedel
Schottky-Kronecker forms and hyperelliptic polylogarithms
arXiv:2406.10051 with K. Baune, J. Broedel, E. Im, F. Zerbini
Higher-genus Fay-like identities
arXiv:2409.08208 with K. Baune, J. Broedel, E. Im, Y. Moeckli