A.Y. 2024/2025 - Courses

Area: MAT-01/MAT-02/MAT-03

Uniform and coarse structures on Polish groups

J. Zielinski

Type: PhD course, basic

Number of lectures: 16 hours, for a total of 8 meetings

Period: February – June 2025

Referent: Martino Lupini

Area: MAT-01/MAT-03

Topological Dynamics and Universal Minimal Flows

A. Codenotti

Type: PhD course, basic 

Number of lectures: 8 lectures, for a total of 16 hours 

Period: February-May 2025

Referent: Martino Lupini

Area: MAT-02/MAT-03

Geometry of tensor decomposition

Pierpaola Santarsiero

Type: basic

Number of lectures: 20 hours

Period: January-February 2025

Referent: Giovanni Mongardi

Area: MAT-02/MAT-03

Homological and representation stability

Luigi Caputi

Type: PhD course, basic

Number of lectures: 16 hours, for a total of 8 meetings

Period: November 2024

Referent: Martino Lupini

Area: MAT-02/MAT-03

Tropical and algebraic geometry of curves

Luca Battistella and Alejandro Vargas

Type: basic

Number of lectures: 15 hours + 15 hours

Period: November 2024 - April 2025

Area: MAT-03

Automorfismi di varietà algebriche

Claudio Onorati

Type: advanced

Number of lectures: 20 hours

Period: November 2025 - January 2025

Referent: Giovanni Mongardi

Area: MAT-03

Combinatorial topology and group theory

Giovanni Paolini

Type: basic

Number of lectures: 20 hours

Period: November - December 2024

Area: MAT-03

Topology of Manifolds and Stratified Spaces

Julius L. Shaneson

Type: Advanced

Number of lectures: 20-30 hours

Period: January - March 2025

Referent: Roberto Pagaria

Area: MAT-05

Advanced Topics in Holomorphic Function Theory

Nicola Arcozzi

Type: basic

Number of lectures: 20 hours

Period: January-March 2025

Area: MAT-05

Fully nonlinear elliptic equations

David Joao Brandligt De Jesus

Type: advanced

Number of lectures: 10 hours

Period: January 2025 

Referent: Fausto Ferrari

Area: MAT-05

Non-autonomous dynamical systems: invariant manifolds and chaos

Matteo Franca

Type: advanced

Number of lectures: 20 hours

Period: February - March 2025

Area: MAT-05

Qualitative properties of solutions of p-Laplace equations

Eugenio Vecchi and Stefano Biagi

Type: basic

Number of lectures: 20 hours

Period: April - May 2025

Area: MAT-05

Singular integral operators in harmonic analysis

Joan Verdera

Type: basic

Number of lectures: 24 hours

Period: April - May 2025

Referent: Loredana Lanzani

Area: Mat-06

Topics in stochastic Analysis: Singular Control and Malliavin Calculus

Giorgio Ferrari and Arturo Kohatsu-Higa

Type: basic

Number of lectures: 10 hours + 10 hours

Period: March - June 2025

Referents: Stefano Pagliarani, Andrea Pascucci

Area: MAT-07

Continuous constraint satisfaction and optimization problems

Pierfrancesco Urbani

Type: advanced

Number of lectures: 12 hours

Period: March- June 2025

Referent: Daniele Tantari

Area: MAT-07

Elements of Fractional Calculus

Andrea Giusti and Ivano Colombaro

Type: basic

Number of lectures: 20 hours + 10 hours

Period: November - December 2024

Referent: Andrea Mentrelli

Area: MAT-08

Numerical methods for stochastic differential equations and uncertainty quantification

Andrea Pascucci and Michele Ruggeri

Type: basic

Number of lectures: 10 hours + 10 hours

Period: April - May 2025

Referents: Andrea Pascucci, Valeria Simoncini

Area: ING-IND/11 FISICA TECNICA AMBIENTALE

An Introduction to Physical Modelling Sound Synthesis

Michele Ducceschi

Type: advanced

Number of lectures: 10 hours

Period: 2nd semester

Referent: Fabiana Zama

Area: MAT-08

International PhD Summer School 2025: Mathematics and Machine Learning for image analysis

• Optimization-based machine learning for computational imagIng, Lecturer: Thomas Pock,  Affiliation: Graz University of Technology, Graz, Austria 1ECTS
• Regularisation theory coupled with machine learning, Lecturer: Martin Benning, Affiliation: University College London, London, United Kingdom  1ECTS
• Applications of inverse problems in imaging, Lecturer: Andreas Hauptmann, Affiliation: University of Oulu, Oulu, Finland 1ECTS
• Bayesian imaging methods, Lecturer: Marcelo Pereyra, Affiliation: Heriot-Watt University, Edinburgh, United Kingdom  1ECTS

Period: 3 June – 11 June 2025

Referent: Serena Morigi