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 2018 Postdoctoral grant, MPIM Bonn PhD, University of Copenhagen

Tracker   Shanghai, Tokyo (April-May), Cortona (June), Odense, Paris, Rome (August-September), Delft (October), Tokyo (December).

Preprints & publications

• «Hofstadter-Toda spectral duality and quantum groups » (arXiv) with P. Marra and X. Sheng. Preprint.
• «A geometric Elliott invariant and noncommutative rigidity of mapping tori» (arXiv) with H. Guo and H. Wang. Preprint.
• «Homology and K-theory of dynamical systems III. Beyond stably disconnected Smale spaces» (arXiv) with M. Yamashita. Preprint.
• «Homology and K-theory of dynamical systems IV. Further structural results on groupoid homology» (arXiv) with M. Yamashita.
  To appear in Ergodic Theory and Dynamical Systems.
• «Categorical approach to the Baum-Connes conjecture for étale groupoids» (arXiv) with C. Bönicke.
  Journal of the Institute of Mathematics of Jussieu (2024). Online First.
• «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.
• «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.
• «Index theory on the Miščenko bundle» (arXiv) with J. Kaad.
  Kyoto Journal of Mathematics 62-1 (2022), 103–131.
• «A note on homology for Smale spaces» (arXiv).
  Groups, Geometry, and Dynamics 14-3 (2020), 813–836.
• «Groups with Spanier-Whitehead duality» (Oberwolfach, arXiv) with S. Nishikawa.
  Annals of K-Theory 5-3 (2020), 465–500.

Last update April 2024.