Dr. Riccardo Zuffetti

Arbeitsgebiet(e)

AG Algebra

Kontakt

work +49 6151 16-22467

Work S2|15 426
Schlossgartenstraße 7
64289 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

I am working on orthogonal Shimura varieties, with particular interest in their interaction with Siegel modular forms. More precisely, I deal with cones of special cycles, the problem of their polyhedrality, the equidistribution of the irreducible components of such cycles, and the injectivity of the Kudla-Millson theta lift.

Publications

  • 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
  • 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). 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.
    Date of defense: 15.3.2022.
    Final mark: Summa cum laude (with distinction).
    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 Seminar on Automorphic Forms, winter semester 2023/24. link
    Organized together with C. Burrin, L. García and Y. Li.
  • International Seminar on Automorphic Forms, summer semester 2023. link
    Organized together with C. Burrin, Y. Li and C. Röhrig.
  • 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 and Heidelberg.
    Organized together with J. Bruinier and Y. Li.
  • International Seminar on Automorphic Forms, winter semester 2022/23. link
    Organized together 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. Organized together 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 and Heidelberg.
    Organized together 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.