Lorenzo Pettinari

Currently Ph.D. student at the University of Trento, Trento (IT)

In Ancona, Marche (IT) – photo credit: Nives Morani

Research interests

  • Statistical mechanics of (classical and quantum) lattice systems: thermal and topological quantum phase transitions
  • Many body physics: Bose-Einstein condensation, spectral theory and quantum field theory
  • Spectral theory and semiclassical techniques applied to Schrödinger equation

Academic Carrier

2023
Ph.D. student in Mathematics at University of Trento

Thesis project on KMS states for lattice systems and their high temperature properties. Thesis Advisors: Prof. Nicolò Drago and Dr. Christian J. F. van de Ven

2021
Master in Physics at University of Pisa

Master thesis project on orientational zero modes for non abelian monopoles in SU(3) classical gauge theories – Supervisor: Prof. Stefano Bolognesi  

2018
Bachelor in Physics at University of Pisa

Bachelor thesis project on Montecarlo methods applied to topologically frustrated quantum systems in statistical mechanics – Supervisor: Prof. Massimo D’Elia

View from Povo, Trento
View from ponte di mezzo, Pisa

Publications

Published articles

  1. Corrigendum to: quantization and the resolvent algebra [j. funct. anal. 277 (8) (2019) 28152838]
    With Teun D. H. von Nuland, Journal of Functional Analysis, 290 (2026)
  2. On Classical Aspects of Bose-Einstein Condensation
    Annales of Henri Poincaré (2025)
  3. Classical and quantum KMS states on spin lattice systems
    With Nicolò Drago and Christian J. F. van de Ven, Comm. Math. Phys. 406, 163 (2025)

Preprints

  1. Subcriticality at high temperatures in spin lattice systems
    With Nicolò Drago and Christian J. F. van de Ven, ArXiv:2511.12651 preprint
  2. Damping of phonons in Bose gas at low temperature
    With Jan Dereziński, ArXiv:2602.07701 preprint
  3. Coupling of the continuum and semiclassical limit. Part I: convergence of eigenvalues
    With Matthias Keller and J. F. Christian van de Ven, ArXiv:2602.23156 preprint

Conference proceedings

  1. Algebraic approaches to Bose-Einstein condensation
    IQSA 2025 conference proceeding – to appear in International Journal of Theoretical Physics

Selected talks

  1. The damping of phonons in Bose gas at low temperature SLIDES
    University of Milan, Milan (IT), 18 March 2026
  2. New uniqueness results for high temperature KMS states SLIDES
    University of Warsaw, Warsaw (PL), 06 November 2025
  3. On Classical Aspects of Bose-Einstein Condensation SLIDES
    Workshop LQP50 – Workshop on Foundations and Constructive Aspects of Quantum Field Theory, Göttingen (GE), 05 April 2025
  4. Coupling of the continuum and semiclassical limits for Schrödinger equations on a lattice SLIDES
    University of Warsaw, Warsaw (PL), 24 Aprile 2026

Contacts

Lorenzo Pettinari
Dipartimento di Matematica
Università di Trento
Via Sommarive 14, 32183 Trento (IT)
Office: 2-29
University email: lorenzo.pettinari@unitn.it
Personal email: lorenzo.pettinari23@gmail.com