Valerio Proietti


I am a Marie Skłodowska-Curie (MSC) postdoctoral fellow in mathematics at University of Oslo, Norway.
My CV is available here.
For more details on my MSC Action see here.

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.

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

2023          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
2018Postdoctoral grant, MPIM Bonn
PhD, University of Copenhagen

Tracker   Rome (November), Tokyo (December), Paris (January).

Preprints & publications

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

Last update November 2024.