Valerio Proietti

I am a postdoctoral fellow in mathematics at University of Oslo, Norway.

I am interested in noncommutative geometry and ideas involving algebraic topology, operator algebras, and group theory. For example: K-theory, homology of dynamical systems, index theory, quantum groups.

News   From September 2026 my work will be supported by the Researcher Project for Early Career Scientists Dynamics: Noncommutativity, Groupoids, Homotopy theory funded by The Research Council of Norway.

Contact info

address
Niels Henrik Abels hus
Moltke Moes vei 35
0851 Oslo
e-mail
xp@math.uio.no
replace x with my first name (lowercase)

Abridged vita

2025
National Scientific Habilitation (Italy)
2023
Marie Skłodowska-Curie postdoc fellow, UiO
Special appointed researcher, UTokyo
2022
FWO Senior postdoctoral fellowship (declined)
Foreign Young Talents grant (NSFC)
2019
Postdoc fellow, RCOA, ECNU Shanghai
Oberwolfach Postdoc Leibniz fellow
2018
Postdoctoral grant, MPIM Bonn
PhD, University of Copenhagen
Portrait of Valerio Proietti

Tracker   Trento, Karlsruhe (July), Oslo, Prague (August), Münster (September).

Preprints & publications

  1. «Chern character for torsion-free ample groupoids» (arXiv) with M. Yamashita.
    Preprint (Sept. 2025).
  2. «Homology and K-theory of dynamical systems III. Beyond stably disconnected Smale spaces» (arXiv) with M. Yamashita.
    Transactions of the American Mathematical Society 378 (2025), 2129-2155.
  3. «Homology and K-theory of dynamical systems IV. Further structural results on groupoid homology» (arXiv) with M. Yamashita.
    Ergodic Theory and Dynamical Systems 45-1 (Jan. 2025), 247-273.
  4. «A geometric Elliott invariant and noncommutative rigidity of mapping tori» (arXiv) with H. Guo and H. Wang.
    Journal of Functional Analysis 287-11 (Dec. 2024), 110625.
  5. «Categorical approach to the Baum-Connes conjecture for étale groupoids» (arXiv) with C. Bönicke.
    Journal of the Institute of Mathematics of Jussieu 23-5 (Sept. 2024), 2319-2364.
  6. «Hofstadter-Toda spectral duality and quantum groups » (arXiv) with P. Marra and X. Sheng.
    Journal of Mathematical Physics 65-7 (July 2024), 071903.
  7. «Homology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal» (Oberwolfach, arXiv) with M. Yamashita.
    Journal of Noncommutative Geometry 17-3 (2023), 957-998.
  8. «Homology and K-theory of dynamical systems I. Torsion-free ample groupoids» (Oberwolfach, arXiv) with M. Yamashita.
    Ergodic Theory and Dynamical Systems 42-8 (Aug. 2022), 2630-2660.
  9. «Index theory on the Miščenko bundle» (arXiv) with J. Kaad.
    Kyoto Journal of Mathematics 62-1 (Apr. 2022), 103-131.
  10. «A note on homology for Smale spaces» (arXiv).
    Groups, Geometry, and Dynamics 14-3 (Aug. 2020), 813-836.
  11. «Groups with Spanier-Whitehead duality» (Oberwolfach, arXiv) with S. Nishikawa.
    Annals of K-Theory 5-3 (July 2020), 465-500.