I am a fifth-year graduate student in the Department of
Mathematics at the University of Chicago, my advisor
is Benson Farb.
I like problems at the interface between low-dimensional topology and complex algebraic geometry.
Recently, I've been thinking about holomorphic maps between moduli spaces of curves and Lefschetz fibrations in 4-manifolds.
Previously, I completed a PhD in Ecology and evolution at the University of Chicago under the supervision of Stefano Allesina.
Before that, I was a biology undergrad working with Walter Cabrera-Febola at Universidad Nacional Mayor de San Marcos.
Here is my CV.
I like problems at the interface between low-dimensional topology and complex algebraic geometry.
Recently, I've been thinking about holomorphic maps between moduli spaces of curves and Lefschetz fibrations in 4-manifolds.
Previously, I completed a PhD in Ecology and evolution at the University of Chicago under the supervision of Stefano Allesina.
Before that, I was a biology undergrad working with Walter Cabrera-Febola at Universidad Nacional Mayor de San Marcos.
Here is my CV.
Contact:
Email: cmarceloservan at uchicago dot edu
Office: Eckarth 15-Basement.
Office: Eckarth 15-Basement.
Publications and preprints:
-
On the uniqueness of the Prym map, [arXiv] [pdf]
Preprint (Accepted in JDG), 2022. -
Isometric embeddings of Teichmüller spaces are covering constructions,
[journal]
[arXiv] [pdf]
with Frederik Benirschke. Advances in Mathematics, 2024. -
Lefschetz fibrations with infinitely many sections,
[arXiv] [pdf]
with Seraphina Lee. Preprint, 2024. -
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.
Mathematics
Theoretical Ecology-Selected publications
(last updated October, 2024.)