I am a sixth-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, totally geodesic subvarieties of moduli space 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.
I will be on the postdoctoral job market in the Fall of 2025. 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, totally geodesic subvarieties of moduli space 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.
I will be on the postdoctoral job market in the Fall of 2025. Here is my CV.
Contact:
Email: cmarceloservan at uchicago dot edu
Office: Eckarth 109A.
Office: Eckarth 109A.
Publications and preprints:
- Local rigidity of Weil—Petersson subvarieties of the moduli space of curves and covering constructions, [pdf]. Preprint, 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), 2022. -
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 September, 2025.)