Research interests
My research interests lie in and around geometric topology. I like when mathematics gives us new insights about shapes we can visualize.
A particular aspect of geometry that I am fond of is the study of moduli spaces, such as Teichmüller spaces, character varieties, and strata of abelian differentials. I find it fascinating that the geometric properties of a moduli space can give us insight into the geometric properties of the shapes that it parametrizes.
I am currently interested in the topology, geometry, and dynamics of strata of abelian differentials.
Papers
4. The L
∞-isodelaunay decomposition of strata of abelian differentials (
arXiv)
3.
Strongly obtuse rational lattice triangles (
arXiv)
with
Anne Larsen and
Chaya Norton
Transactions of the AMS, 2021
2.
A simplified approach to Fiedler-like pencils via block minimal bases pencils (
arXiv)
with
María Isabel Bueno,
Froilán M. Dopico,
Javier Pérez, and
Rafael Saavedra
Linear Algebra and its Applications, 2018
1.
Lower bound cluster algebras: presentations, Cohen-Macaulayness, and normality (
arXiv)
with
Gregory Muller and
Jenna Rajchgot
Algebraic Combinatorics, 2018