Dr. Carolina Tamborini
I am a post-doc in complex algebraic geometry in the group of Daniel Greb.
Research interests:
-Moduli of curves and Abelian varieties
-Geometry of the Torelli locus
-Symmetric subspaces of the Siegel space
-Families of Galois coverings
-Hodge theory
Short CV:
Since October 2023, I am a post-doc at the Essener Seminar für Algebraische Geometrie und Arithmetik of Universität Duisburg-Essen. My mentor is Daniel Greb.
From February 2022 to September 2023 I was a post-doc at the Mathematical Institute of Utrecht University. My mentor was Carel Faber.
I received my Ph.D. in April 2022 at the University of Pavia from the joint Ph.D. program Milano Bicocca-Pavia-INdAM. My supervisor was Alessandro Ghigi.
Previous education:
-University of Pavia, M.Sc in Mathematics, 2018
-University of Pavia, B.Sc in Mathematics, 2016
Preprints:
7. Non-tautological cycles on moduli spaces of smooth pointed curves (with Dario Faro)
Preprint 2024: arXiv:2410.04400
6. Holomorphic forms and non-tautological cycles on moduli spaces of curves (with Veronica Arena, Samir Canning, Emily Clader, Richard Haburcak, Amy Q. Li, and Siao Chi Mok)
Preprint 2024: arXiv:2402.03874
5. On totally decomposable abelian G-curves and special subvarieties (with Irene Spelta)
Preprint 2023: arXiv:2305.19030
Accepted papers:
4. Theta bundle, Quillen connection, and the Hodge theoretic projective structure (with Indranil Biswas and Alessandro Ghigi)
Commun. Math. Phys. 405, 243 (2024)
Preprint 2023: arXiv:2310.05843
3. A topological construction of families of Galois covers of the line (with Alessandro Ghigi)
Algebraic & Geometric Topology 24 (2024) 1569–1600
Preprint 2022: arXiv:2204.07817
2. Bergman kernel and period map for curves (with Alessandro Ghigi)
Preprint 2021: arXiv:2102.04825
1. Symmetric spaces uniformizing Shimura varieties in the Torelli locus
Annali di Matematica Pura ed Applicata, vol 201, p. 2101–2119 (2022)
Preprint 2020: arXiv:2010.13159
Ph.D. Thesis: On totally geodesic subvarieties in the Torelli locus and their uniformizing symmetric spaces.