C u r ri cu l u m V i t Æ | V a l e ri o P ro i e t t iP e r s o n a l d e ta i l sBorn 4th May 1991 in Subiaco, Italy⌂ Niels Henrik Abels hus, Moltke Moes vei 35, 0851 Oslo✉ valeriop@math.uio.no

https://vproietti.gitlab.io/

E d u c at i o n2018

PhD in Mathematics at University of Copenhagen (Denmark). Title of the thesis:
𝐾-theory, groups, and topological dynamics. Adviser: Ryszard Nest.

2015

Master’s Degree (Laurea Magistrale) in Mathematics at Sapienza – Università diRoma, Rome (Italy). Title of the thesis: Quasi-crystals, aperiodic tilings, and gap
labeling. Adviser: Paolo Piazza.

2013

Bachelor’s Degree (Laurea) in Mathematics at Sapienza – Università di Roma,Rome (Italy). Title of the thesis: The invariant subspace problem (in Italian).
Adviser: Claudia Pinzari.

P osi t i o n ssince 2023

Marie Skłodowska-Curie postdoc fellow at University of Oslo (Norway).

2022

Special appointed researcher at The University of Tokyo (Japan).

2019

Postdoctoral researcher at Research Center for Operator Algebra, East China
Normal University, Shanghai.

G r a n t s & f e l l ow s h i p s
2024

Visiting fellow (2 months) at East China Normal University, Shanghai.

2023

Marie Skłodowska-Curie Action (MSCA) – Individual Fellowship (European Commission – Horizon Europe Research and innovation funding programme, Host
Institution: University of Oslo, Norway).

2022

FWO (Flanders – Research Foundation) Senior postdoctoral fellowship (3-yearsalaried position + 12000 EUR grant). Declined in favor of MSCA fellowship.

2021

Grant (70000 RMB) funded by the Foreign Young Talents program (National Natural Science Foundation of China).

2019

Postdoctoral Leibniz fellowship (3-month salaried position) at Oberwolfach Research Institute for Mathematics (Germany).

2018

Postdoctoral visitor grant (3-month salaried position) at Max-Planck-Institut fürMathematik, Bonn (Germany).
Visiting fellow (1 month) at Ochanomizu University, Tokyo.

2017

Visiting fellow (5 months) at University of Victoria, British Columbia (Canada).
Grant (70 000 DKK) for organization of International Masterclass, funded by theCentre for Symmetry and Deformation (Danish National Research Foundation)
at University of Copenhagen.

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2016

Visiting fellow at Simons semester program “Noncommutative Geometry the Next
Generation” at Mathematical Institute of the Polish Academy of Sciences, Warsaw(Poland).

2015

Erasmus+ scholarship (8 months) at Université Paris-Sud (Paris XI).

2014

Selected for the “Excellence program” (Percorso d’eccellenza) of the Departmentof Mathematical Sciences at Sapienza – Università di Roma.

S e rv i c esince 2024

Examiner in international expert panel for the Slovak Research and Development
Agency (SRDA).

since 2019

Referee reports and opinions for various journals in mathematics, e.g., Communications in Mathematical Physics, Transactions of the American MathematicalSociety, Annals of Functional Analysis.

since 2018

Reviewer for zbMATH Open.

2024

Internal examiner for PhD applications, University of Oslo.

2024

Co-organizer of the Operator algebras seminar, University of Oslo.

2022

Co-organizer of the Operator algebras seminar, East China Normal University.

2021

Co-organizer of the Special Week in Operator algebras, East China Normal University.

2017

Co-organizer of the Operator algebras seminar, University of Copenhagen.
Main organizer of the masterclass “Applications of the UCT for 𝐶 ∗ -algebras”,
University of Copenhagen.
Co-organizer of “YM𝐶 ∗ A” conference, University of Copenhagen.

2016

Co-organizer of the Operator algebras seminar, University of Copenhagen.

2015

Co-organizer of the PhD students’ seminar, University of Copenhagen.

T e ach i n g
2024

Preparation of MAT2000 projects (Bachelor’s course), University of Oslo.

2023

Lecture series: 𝐾-theory and solid state physics (Learning seminar), University ofOslo.

2022

Lecturer: Introduction to Index theory (Master’s and PhD students), East China
Normal University, Shanghai.

2021

Lecturer: Introduction to groupoids and 𝐾𝐾-theory (Master’s and PhD students),
East China Normal University, Shanghai.

2020

Lecturer: Introduction to 𝐾-theory and duality (Master’s and PhD students), EastChina Normal University, Shanghai.

2018

Teaching assistant: Introduction to 𝐾-theory (Master’s course), University of Copenhagen.

2017

Teaching assistant: Introduction to 𝐾-theory (Master’s course), University of Copenhagen.
Lecture: Geometric group theory (Master’s course), University of Copenhagen.

2014

Lecture: Ricci curvature (Master’s course), Sapienza – Università di Roma.

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S u p e rv i s i o n & m e n t o r i n gsince 2023

Junior mentor of the Operator Algebra Mentor Network.

2023

Co-supervision of a Master’s thesis, The University of Tokyo.

2020-2022

Mentor of several PhD and Master’s students under the supervision of Hang Wang,
East China Normal University, Shanghai.

2017

Supervision of an internship report (Exchange Master’s student from Ecole normale supérieure de Cachan), University of Copenhagen.

P u b l i c at i o n s
H. Guo, V. Proietti, and H. Wang. “A geometric Elliott invariant and noncommutative rigidity of mapping tori”. Journal of Functional Analysis 287.11 (2024),
p. 110625. doi: 10.1016/j.jfa.2024.110625.
P. Marra, V. Proietti, and X. Sheng. “Hofstadter-Toda spectral duality and quantum
groups”. Journal of Mathematical Physics 65.7 (2024), p. 071903. doi: 10.1063/5.
0202635.
V. Proietti and M. Yamashita. “Homology and 𝐾-theory of dynamical systems IV.
Further structural results on groupoid homology”. Ergodic Theory and DynamicalSystems (2024). Online First. doi: 10.1017/etds.2024.37.
C. Bönicke and V. Proietti. “Categorical approach to the Baum–Connes conjecturefor étale groupoids”. Journal of the Institute of Mathematics of Jussieu (2024).
Online First. doi: 10.1017/S1474748023000531.
V. Proietti and M. Yamashita. “Homology and 𝐾-theory of dynamical systems II.
Smale spaces with totally disconnected transversal”. Journal of NoncommutativeGeometry 17.3 (2023), pp. 957–998. doi: 10.4171/jncg/494.
J. Kaad and V. Proietti. “Index theory on the Miščenko bundle”. Kyoto J. Math. 62.1(2022), pp. 103–131. doi: 10.1215/21562261-2021-0021.
V. Proietti and M. Yamashita. “Homology and 𝐾-theory of dynamical systems I.
Torsion-free ample groupoids”. Ergodic Theory and Dynamical Systems 42.8 (2022),
pp. 2630–2660. doi: 10.1017/etds.2021.50.
S. Nishikawa and V. Proietti. “Groups with Spanier–Whitehead duality”. Annalsof 𝐾-theory 5.3 (2020), pp. 465–500. doi: 10.2140/akt.2020.5.465.
V. Proietti. “A note on homology for Smale spaces”. Groups, Geometry, and Dynamics 14.3 (2020), pp. 813–836. doi: 10.4171/GGD/564.
Preprints
V. Proietti and M. Yamashita. Homology and 𝐾-theory of dynamical systems III.
Beyond stably disconnected Smale spaces. arXiv:2207.03118 [math.KT]. 2022.

I n v i t e d c o n f e r e n c e ta l k s2024“Noncommutativity behind the dunes” workshop , TU Delft (Netherlands). Scheduled.
The rational HK conjecture. “NSeaG” workshop, University of Southern Denmark,Odense.
The rational 𝐾-theory of ample groupoids. “Noncommutative Geometry and Applications” conference , INdAM, Cortona (Italy).

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The rational 𝐾-theory of ample groupoids. Spring Operator algebras Program, East
China Normal University, Shanghai.
Elliott invariant in a geometric context. “Quantum symmetries” workshop, Mathematical Institute of the Polish Academy of Sciences, Warsaw (Poland).
2023

Nonlocal games and Grothendieck’s inequalities. “Operator algebras in TopologicalPhysics” workshop , Tohoku University, Sendai (Japan).

2022

Classification via index theory on the mapping torus. “Dirac Operators in Topology,
Geometry, and Representation Theory” conference, INdAM, Cortona (Italy).
Homology of groupoids and Smale spaces. “Smale spaces, their groupoids andC*-algebras” workshop (online), University of Colorado, Boulder.

2021

Introduction to groupoid 𝐶 ∗ -algebras. “Invitation to Operator algebras in Mathematical Physics” workshop , Beijing International Center for Mathematical Research.
Noncommutative algebraic topology of some dynamical systems. Special week onOperator algebras, East China Normal University, Shanghai.

2020

Homology and hyperbolic dynamics. “Noncommutative Geometry and Quantization” workshop at Sichuan University, Chengdu (China).

2019

Isomorphism conjectures in topological dynamics (Mini course). Autumn Operator
algebras Program, East China Normal University, Shanghai.

2018

𝐾-theory and homology in hyperbolic dynamics. “Bivariant 𝐾-theory in Geometryand Physics” conference, Erwin Schrödinger Institute, Vienna.

2017

Static correspondences for Smale spaces. “Danske Unge 𝐶 ∗ -algebra Studerende”(DU𝐶 ∗ S) conference, Aarhus University (Denmark).

S e l e c t e d s e m i n a r ta l k s
2024Friedrich-Alexander-Universität, Erlangen, Germany. Scheduled.
NYC Noncommutative geometry seminar (online), St. John’s University, NewYork. Scheduled.
A geometric Elliott invariant and noncommutative rigidity of mapping tori. Operator
algebras seminar, Fudan University, Shanghai.

2023

A geometric Elliott invariant and noncommutative rigidity of mapping tori. NCG
mini workshop, Leiden University, (Netherlands).
Nonlocal games and Grothendieck’s inequalities. Tor Vergata University of Rome.
Noncommutative algebraic topology and hyperbolic dynamics. Global NCG Seminar(online).

2022

Noncommutative algebraic topology of dynamical systems. Tor Vergata Universityof Rome.
A geometric mapping of the Elliott invariant. Operator algebras seminar, Universityof Wollongong (Australia, online).

2021

Index theory on mapping tori. Peking University, Beijing.
Nonlocal games and Grothendieck’s inequalities. Physics seminar, New York University Shanghai.

2020

Index theory on solenoidal tori. Operator algebras seminar, University of Copenhagen (online).

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Homology and 𝐾-theory of torsion-free ample groupoids and Smale spaces. Operatoralgebras seminar, University of Wollongong (Australia, online).
2019

The 𝐾-theoretic approach to the integrated density of states in quasi-crystals. Tor
Vergata University of Rome.

2018

Flat bundles are cohomologically trivial. Global Analysis Oberseminar, Universityof Bonn (Germany).
Flat bundles are cohomologically trivial. Operator algebras seminar, East China
Normal University, Shanghai.
Induction-Restriction and the 𝐾-theory of groupoids. Operator algebras seminar,
University of Southern Denmark, Odense.
Index theory on the Miščenko bundle. Operator algebras seminar, University ofTokyo.

2017

Index theory on the Miščenko bundle. Georg-August-Universität Göttingen (Germany).
𝐶 ∗ -algebras from Axiom A systems. Operator algebras seminar, University ofSouthern Denmark, Odense.
Index theory on the Miščenko bundle (two talks). Operator algebras seminar, University of Victoria, British Columbia (Canada).
𝐾-theory and the Riemann-Roch theorem (lecture series). Graduate students seminar, University of Victoria, British Columbia (Canada).
A remark on the Miščenko line bundle. Operator algebras seminar, University ofCopenhagen, Denmark.

S h o r t & o u t r e a c h ta l k s2023

What is the hypergame?. “What is …?” seminar, University of Oslo, Norway.

2018

𝐾-theory and homology for groupoids. Gong show at “Non-commutative Geometry,Index Theory and Mathematical Physics” workshop, Oberwolfach, Germany.

2017Line bundles on the sphere. General colloquium, Seattle University, Washington.
𝐾-theory and homology for groupoids. Gong show at “Secondary and delocalizedindex invariants” workshop, Copenhagen, Denmark.

2015

Oslo, October 2024

What is a Smale space?. “What is …?” seminar, University of Copenhagen, Denmark.