Publications and preprints

• Siegel-Veech Measures of Convex Flat Cone Spheres,
  to appear in Compositio Mathematica,
  arXiv:2504.14731.


• Uniform Length Estimates for Trajectories on Flat Cone Surfaces,
  to appear in Annales de l'Institut Fourier,
  arXiv:2409.14188.


• Bounds on saddle connections for flat spheres,
  with Guillaume Tahar, eprint, 2023, submitted,
  arXiv:2308.08940.

In progress

• $L^\infty$-Delaunay Cells and Linear Subvarieties of Abelian Differentials,
  with Vincent Delecroix and Bradley Zykoski.

Programming project

I am interested in SageMath, an open-source mathematics software system built on Python.

Currently, I am working with Vincent Delecroix on the computation of real linear subvarieties in the moduli spaces of Abelian differentials.

More precisely, we develop algorithms to determine whether a given linear subspace in a period chart is tangent to a linear subvariety. We also compute the boundary of a linear subvariety in the multiscale compactification. This project is being implemented in the package veerer.

PhD thesis

• Geodesics on convex flat cone spheres.

Talks