Dr. Riccardo Zuffetti
Arbeitsgebiet(e)
Kontakt
zuffetti@mathematik.tu-...
work +49 6151 16-22467
Work
S2|15 426
Schlossgartenstraße 7
64289
Darmstadt
Research interests
I am working on orthogonal Shimura varieties, with particular interest in their interaction with Siegel modular forms. More precisely, I deal with:
- (elliptic, Siegel, Hilbert, vector-valued, …) modular forms.
- The Kudla--Millson theta function and theta lifts.
- Orthogonal Shimura varieties.
- Special cycles and equidistribution.
Publications
- Injectivity of the genus 1 Kudla-Millson lift on locally symmetric spaces (with I. Metzler).
Preprint on arXiv (2023). link - The Kudla-Millson lift of Siegel cusp forms (with P. Kiefer).
Preprint on arXiv (2023). link - Cones of orthogonal Shimura subvarieties and equidistribution.
Preprint on arXiv (2022). link - Unfolding and injectivity of the Kudla-Millson lift of genus 1.
Preprint on arXiv (2022). link
Accepted for publication in Mathematische Zeitschrift. - 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 (2019). (wird in neuem Tab geöffnet) pdf
Downloads
- , a SageMath program to compute modular cones. modcone_genus_2 (wird in neuem Tab geöffnet) is an explanation on how to use it. Here
- My (wird in neuem Tab geöffnet)
at GU Frankfurt, under the supervision of Prof. Dr. Martin Möller. PhD thesis
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.
Organized events
- Winterseminar Manigod 2024, 8-15 March 2024, Manigod (France).
Co-organized with T. Driscoll-Spittler, A. Güthge and K. Jakob. - International Seminar on Automorphic Forms, winter semester 2023/24. link
Co-organized with C. Burrin, L. García and Y. Li. - International Seminar on Automorphic Forms, summer semester 2023. link
Co-organized with C. Burrin, Y. Li and C. Röhrig. - GAUS-AG , summer semester 2023. “Superconnections, theta series, and period domains” (wird in neuem Tab geöffnet) Program
Hybrid reading seminar of the universities of Darmstadt, Frankfurt and Heidelberg.
Co-organized with J. Bruinier and Y. Li. - International Seminar on Automorphic Forms, winter semester 2022/23. link
Co-organized with C. Burrin, Y. Li and C. Röhrig. - 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 , summer semester 2022. “The André–Oort Conjecture” (wird in neuem Tab geöffnet) Program
Hybrid reading seminar of the universities of Darmstadt, Frankfurt and Heidelberg.
Co-organized with J. Chen and J. Stix.
Teaching
- Teaching assistant of Höhere Mathematik I – Winter semester 2023/2024.
- Teaching assistant of Mathematics III (for Electrotechnics) – Winter semester 2022/2023.
- Teaching assistant of Linear Algebra II – Summer semester 2022.
- Teaching assistant of Algebra – Winter semester 2020/21.
- Teaching assistant of Elementary Number Theory – Summer semester 2020.
- Teaching assistant of Linear Algebra I – Summer semester 2019.
- Teaching assistant of Complex Algebraic Geometry I – Winter semester 2018/19.