Dr. Riccardo Zuffetti

Arbeitsgebiet(e)

AG Algebra

Kontakt

work +49 6151 16-22467

Work S2|15 426
Schlossgartenstraße 7
64289 Darmstadt

News: Starting from April 2025, I will 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.

I am a postdoc at TU Darmstadt in the research group of Prof. Dr. Jan Bruinier. Previously, 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

  • 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).
    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.
    Manuscripta Math., vol. 175, 791–811 (2024). link
  • Unfolding and injectivity of the Kudla-Millson lift of genus 1.
    Math. Z. , 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

  • 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.

Organized events

  • 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.
  • International Seminar on Automorphic Forms link
    - winter semester 2024/25, organized with C. Burrin, L. García and Y. Li.
    - summer semester 2024, organized with C. Burrin, L. García and Y. Li.
    - winter semester 2023/24, organized with C. Burrin, L. García and Y. Li.
    - summer semester 2023, organized with C. Burrin, Y. Li and C. Röhrig.
    - winter semester 2022/23, organized with C. Burrin, Y. Li and C. Röhrig.
  • 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.