Dr. Riccardo Zuffetti
Arbeitsgebiet(e)
Kontakt
zuffetti@mathematik.tu-...
work +49 6151 16-22467
Work
S2|15 426
Schlossgartenstraße 7
64289
Darmstadt
I have a Temporary Position as Principal Investigator („Eigene Stelle“), funded by the German Research Foundation (DFG).
Title of my project: Arithmetic and geometry of the Kudla-Millson theta function. link
Funding received: 225K €.
Hosting university: TU Darmstadt.
Previously, I was a postdoc at TU Darmstadt in the research group of Prof. Dr. Jan Bruinier. Before that, I was a PhD student at GU Frankfurt under the supervision of Prof. Dr. Martin Möller.
Research interests
- Shimura varieties and moduli spaces.
- Modular forms.
- Theta functions and theta lifts.
- Special cycles and equidistribution.
Publications
- Extremal divisors on moduli spaces of K3 surfaces (with I. Barros and L. Flapan).
Preprint on arXiv (2025). link - Lefschetz decompositions of Kudla-Millson theta functions (with J.H. Bruinier).
Preprint on arXiv (2024). link - Injectivity of the genus 1 Kudla-Millson lift on locally symmetric spaces (with I. Metzler).
J. Number Theory, vol. 279, 792-826 (2025). link - The Kudla-Millson lift of Siegel cusp forms (with P. Kiefer).
Preprint on arXiv (2023). link - Cones of orthogonal Shimura subvarieties and equidistribution.
Manuscripta Math., vol. 175, 791–811 (2024). link - Unfolding and injectivity of the Kudla-Millson lift of genus 1.
Math. Zeitschrift, vol. 307, no. 10 (2024). link - Cones of special cycles of codimension 2 on orthogonal Shimura varieties.
Trans. Amer. Math. Soc., vol. 375, no. 10 (2022). link - Strongly ambiguous Hilbert squares of projective K3 surfaces with Picard number one.
Rend. Sem. Mat. Univ. Politec. Torino, vol. 77, no. 1 (2019). pdf (wird in neuem Tab geöffnet)
Downloads
- My lecture notes for the introductory course of the summer school „Formulas of Siegel and Weil“, Bielefeld, September 2025.
- extremal_rays, a SageMath program to compute extremal rays of the pseudoeffective cone of orthogonal modular varieties. Here (wird in neuem Tab geöffnet) is an explanation on how to use it.
- modcone_genus_2, a SageMath program to compute modular cones. Here (wird in neuem Tab geöffnet) is an explanation on how to use it.
- My PhD thesis (wird in neuem Tab geöffnet) at GU Frankfurt, under the supervision of Prof. Dr. Martin Möller.
Title: Cones of special cycles and unfolding of the Kudla-Millson lift.
Final mark: Summa cum laude (with distinction).
PhD period: September 2018 – March 2022.
Date of defense: 15.3.2022.
Its 4 chapters are now 4 different papers (see „Publications“). These papers provide revised versions and improvement of results of my thesis.
Organizer of the following events
- GAUS-AG „Noether-Lefschetz loci in A_g and modularity“, winter semester 2025/26. Reading seminar of the universities of Darmstadt, Frankfurt, Heidelberg and Mainz. Co-organized with J. Bruinier and M. Möller.
- International Seminar on Automorphic Forms link
Ongoing, organized every semester since 2022 with C. Burrin, L. García and Y. Li. - International Workshop on Automorphic Forms link
31 August – 5 September 2025, SwissMAP Research Station in Les Diablerets, Switzerland. Co-organized with C. Burrin, L. García and Y. Li. - Winterseminar Manigod 2025, 8-15 March 2024, Manigod (France).
Co-organized with T. Driscoll-Spittler, C. Lang and P. Siemon. - Winterseminar Manigod 2024, 8-15 March 2024, Manigod (France).
Co-organized with T. Driscoll-Spittler, A. Güthge and K. Jakob. - GAUS-AG “Superconnections, theta series, and period domains”, summer semester 2023. Program (wird in neuem Tab geöffnet)
Hybrid reading seminar of the universities of Darmstadt, Frankfurt, Heidelberg and Mainz.
Co-organized with J. Bruinier and Y. Li. - Early Number Theory Researchers (ENTR) Workshop, 26-28 October 2022, Darmstadt. link
Workshop for young researchers in Number Theory. Co-organized with G. Cesana, L. Kleinemeier, I. Metzler and A. Mono. - GAUS-AG “The André–Oort Conjecture”, summer semester 2022. Program (wird in neuem Tab geöffnet)
Hybrid reading seminar of the universities of Darmstadt, Frankfurt, Heidelberg and Mainz.
Co-organized with J. Chen and J. Stix.
Teaching
Lecturer of:
- Complex Manifolds – Winter semester 2024/2025.
Teaching assistant of:
- Automorphic Forms - Summer semester 2024
- Höhere Mathematik I – Winter semester 2023/2024.
- Mathematics III (for Electrotechnics) – Winter semester 2022/2023.
- Linear Algebra II – Summer semester 2022.
- Algebra – Winter semester 2020/21.
- Elementary Number Theory – Summer semester 2020.
- Linear Algebra I – Summer semester 2019.
- Complex Algebraic Geometry I – Winter semester 2018/19.