Publications and preprints

• Uniform Length Estimates for Trajectories on Flat Cone Surfaces,
  eprint, 2024,
  arXiv:2409.14188.


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

In progress

• Computing the Multiscale Boundary I. Real Linear Subvarieties of Abelian and Quadratic Differentials,
  with Vincent Delecroix and Bradley Zykoski.


• Siegel-Veech Measures of Convex Flat Cone Spheres.
  

Programming project

I have a strong interest in SageMath, an open-source mathematics software system built on Python.

Currently, I am working with Vincent Delecroix and Bradley Zykoski on Computing the Multiscale Boundary I. Real Linear Subvarieties of Abelian and Quadratic Differentials, and contributing new features to the package veerer.

We aim to compute compute all boundary strata of a real linear subvariety in the multi-scale compactification of the moduli space, given a tangent space of the subvariety. We construct blow-ups along the facets of the Delaunay cells and establish their connection to the boundary strata of the multi-scale compactification.

Talks