A.Y. 2025/2026 - Courses

Area: MAT-01/MAT-02

Model theory of crystallographic groups

Gianluca Paolini (Universita' di Torino)

Type: PhD course, basic

Number of lectures: 15 hours

Period: March – June 2026

Referent: Martino Lupini

Area: MAT-02/MAT-03/MAT-05

Spazi simmetrici

Maria Beatrice Pozzetti

Type: PhD course, basic

Number of lectures: 20 hours

Period: June - July 2026

Referent: Stefano Francaviglia

Area: MAT-02/MAT-03

Groups acting on trees and related topics in geometric group theory

Giuseppe Bargagnati
Francesco Milizia

Type: PhD course, basic

Number of lectures: 20 or 30 hours

Period: November 2025 – January 2026

Referent: Martino Lupini

Area: MAT-02/MAT-03

Homological stability

Luigi Caputi

Type: PhD course, basic

Number of lectures: 16 hours

Period: January – March 2026

Referent: Martino Lupini

Area: MAT-02

Pseudoalgebre di Lie 

Alessandro D'Andrea

Type: PhD course, basic

Number of lectures: 20 hours

Period: I semester

Referent: Jacopo Gandini

Area: MAT-03

Topics in Algebraic Geometry: Fano varieties

Enrico Fatighenti

Type: PhD course, basic

Number of lectures: 20 hours

Period: II semester

Referent: Giovanni Mongardi

Area: MAT-05

Advanced Topics in Holomorphic Function Theory

Nicola Arcozzi

Type: PhD course, basic

Number of lectures: 20 hours

Period: January – March 2026

Referent: Nicola Arcozzi

Area: MAT-05

Free Boundary Problems for Elliptic Equations and Shock Analysis

Mikhail Feldman (University of Wisconsin-Madison)

Type: PhD course, basic/advanced

Number of lectures: 16 hours

Period: June 2026

Referent: Fausto Ferrari

Area: MAT-05

Harmonic mappings with free boundaries and their heat flows

Yannick Sire (JHU)

Type: PhD course, basic

Number of lectures: 6 hours

Period: November – December 2025

Referent: Giovanna Citti

Area: MAT-05

Second Order Parabolic Equations

Simone Ciani

Type: PhD course, basic

Number of lectures: 20 hours

Period: December 2025

Referent: Giovanna Citti

Area: MAT-05

Sub-Riemannian geodesics

Mattia Galeotti

Type: PhD course, advanced

Number of lectures: 15 hours

Period: January - February 2026

Referent: Giovanna Citti

Area: MAT-06

Topics in stochastic Analysis: Jump processes and Malliavin Calculus

Salvatore Federico
Arturo Kohatsu-Higa (Ritsumeikan University)

Type: PhD course, basic

Number of lectures: 20 hours

Period: March – June 2026

Referents: Stefano Pagliarani, Andrea Pascucci

Area: MAT-07

Continuous constraint satisfaction and optimization problems

Pierfrancesco Urbani (Université Paris-Saclay)

Type: PhD course, advanced

Number of lectures: 20 hours

Period: March – June 2026

Referent: Gabriele Sicuro

Area: MAT-05/MAT-07

Microlocal analysis and scattering theory

Martin Vogel

Type: PhD course, basic

Number of lectures: 20 hours

Period: February – March 2026

Referent: Daniele Tantari

Area: MAT-05/MAT-08

Boundary integral equations and boundary element methods

Eleonora Cinti
Michele Ruggeri

Type: PhD course, basic

Number of lectures: 20 hours

Period: March – May 2026

Referent: Eleonora Cinti

Area: MAT-05/MAT-08

Inverse Problems in PDEs: Numerical and Analytical Approaches

Luca Ratti
Andrea Aspri (Università Statale di Milano)

Type: PhD course, basic

Number of lectures: 20 hours

Period: January - February 2026

Referent: Valeria Simoncini

Area: MAT-08

Mathematics and Machine Learning for image analysis

ERASMUS+ BIP International PhD Summer School 2026

4 modules of 1 ECTS

Period: 10 June – 17 June 2026

Referent: Serena Morigi, Alessandro Lanza

1. Frequency-domain and sparsity in signal/image analysis. Lecturer: Ivan Selesnick, New York University, New York, US

 2. A Mathematical approach to Machine learning in imaging. Lecturer: Xue-Cheng Tai, Norwegian Research Center (NORCE), Bergen, Norway

3. Regularisation and Learned regularization for inverse problems. Lecturer: Martin Burger, University of Hamburg, Hamburg, Germany

4a. Optimization-based machine learning for computational imaging. Lecturer: Nelly Pustelnik, CNRS, Laboratoire de Physique de l’ENS Lyon, France

4b. Multi-resolution in image analysis. Lecturer: Barbara Pascal, CNRS LS2N,University of Nantes, Nantes, France

Area: ING-INF/05

An introduction to Data Science: theories and applications

Enrico Corradini (università politecnica delle Marche)

Type: PhD course, basic

Number of lectures: 25 hours

Period: February – March 2026

Referent: Lorenzo Cerboni Baiardi