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
-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
Accepted papers:
7. Non-tautological cycles on moduli spaces of smooth pointed curves (with Dario Faro)
Bulletin of the London Mathematical Society, vol. 57, (2025) 2630-2638
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)
Sel. Math. New Ser. 31, 47 (2025)
Preprint 2024: arXiv:2402.03874
5. Decomposable abelian G-curves and special subvarieties (with Irene Spelta)
Bulletin des Sciences Mathématiques, vol 201 (2025), 103616
Preprint 2023: arXiv:2305.19030
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
0. On totally geodesic subvarieties in the Torelli locus and their uniformizing symmetric spaces (Ph.D. thesis)
Events:
-Together with Elisabetta Colombo, Alessandro Ghigi, Manish Kumar and A.J. Parameswaran, I am organizing the workshop Topics in Hodge Theory, which will be held from 5-16 January 2026 at Ashoka University (Dehli).
-During the Winter-Semester 2023/24 I was organizer of the Reserach Seminar on Compact subvarieties of the moduli space of principally polarized Abelian varieties (in Essen)
-In September 2024 I was co-organizer, together with Matteo Costantini, Ulrich Görtz and Daniel Greb, of the School on Hodge Theory and Shimura varieties (in Essen).
-In December 2024 I was co-organizer, together with Irene Spelta and Davide Bricalli, of the workshop Algebraic Geometry in Pavia: young perspectives (in Pavia).
Supervision:
I was advisor of the following master theses:
-Samuele Taormina: Projective Structures on Riemann Surfaces, 2025.
-Edoardo Mason: Variations of Hodge structures and density of the Hodge locus, 2024.
Informationen zum Proseminar zur Lineare Algebra - Wintersemester 2025/26