[ Research ]
I am a low-dimensional topologist working on problems lying at the interface between Teichmüler theory, complex algebraic geometry and symplectic topology. Recently, I've been thinking about holomorphic maps between moduli spaces, totally geodesic subvarieties of moduli space and Lefschetz fibrations in 4-manifolds.
Previously, I did research in Theoretical ecology mostly interested in understanding how nature assembles the large levels of biological diversity we observe in ecosystems.
Mathematics
- Appendix to: Section conjectures over \(\mathbb{C} \) and Kodaira fibrations by
Simon Shuofeng Xu, [arXiv]
with Seraphina Lee. - Local rigidity of covering constructions and Weil—Petersson subvarieties of \(\mathcal{M}_{g,n}\)
[arXiv] [pdf].
Preprint (submitted), 2025. -
Lefschetz fibrations with infinitely many sections,
[arXiv] [pdf]
with Seraphina Lee. Preprint (in review), 2024. -
Isometric embeddings of Teichmüller spaces are covering constructions,
[journal]
[arXiv] [pdf]
with Frederik Benirschke. Advances in Mathematics, 2024.
-
On the uniqueness of the Prym map [arXiv] [pdf].
Preprint (To appear in JDG Nov 2025), 2022.
Theoretical Ecology-Selected publications
-
Coexistence of many species in random ecosystems, [journal] [news] [blog]
with José Capitán, Jacopo Grilli, Kent E. Morrison and Stefano Allesina.
Nature Ecology and Evolution, 2018. -
Tractable models of ecological assembly, [journal]
with Stefano Allesina. Ecology Letters, 2021. -
Effects of phylogeny on coexistence in model communities, [journal]
with José Capitán, Zach Miller, Stefano Allesina. The American Naturalist, 2024.
