A. Y. 2026/2027 - Courses

Area: MATH-02/A, MATH-02/B

Topics on polytopes and matroids

Giulia Codenotti (FU Berlin), Filippo De Dominicis (Univ. Dell’Aquila), Luca Moci, Jacinta Torres (Jagellonian Krakow)

Type: PhD course, basic

Number of lectures: 20 hours

Period: November - December 2026

Referent: Giovanni Mongardi

Area: MATH-02/B

A second course in Algebraic Geometry

Andrea Petracci, Giovanni Mongardi

Type: PhD course, basic

Number of lectures: 20 hours

Period: December 2026 – May 2027

Referent: Andrea Petracci, Giovanni Mongardi

Area: MATH02/B

Homology of braid groups and mapping class groups 

Andrea Bianchi

Type: PhD course, basic

Number of lectures: 20 hours

Period: November 2026 - February 2027

Referent: Giovanni Mongardi

Area: MATH-02/B

Symplectic singularities 

Yoshinori Namikawa (RIMS Kyoto)

Type: PhD course, advanced

Number of lectures: 10 hours

Period: November 2026 – July 2027

Referent: Giovanni Mongardi

Area: MATH-03/A

Analysis and Geometry on metric Lie groups

Alessandro Ottazzi (New South Wales University)

Type: PhD course, basic

Number of lectures: 16/20 hours

Period: November 2026 - June 2027

Referent: Nicola Arcozzi

Area: MATH-03/A

Fine properties of functions of bounded variation and sets of finite perimeter

Giovanni Eugenio Comi

Type: PhD course, basic

Number of lectures: 16 hours

Period: November - December 2026

Referent: Eleonora Cinti

Area: MATH-03/A

Functions of bounded fractional variation and sets of finite distributional fractional perimeter

Giovanni Eugenio Comi

Type: PhD course, advanced

Number of lectures: 16 hours

Period: April - May 2027

Referent: Eleonora Cinti

Area: MATH-03/A

Qualitative Properties and Regularity Theory for Nondivergence-Type Elliptic PDEs

Diego Ribeiro Moreira

Type: PhD course, advanced

Number of lectures: 30 hours

Period: February - April 2027

Referent: Fausto Ferrari

Area: MATH-03/A

Semiclassical Schrödinger Operators in R^n: Low-Lying Eigenvalues

Marco Mughetti

Type: PhD course, advanced

Number of lectures: 10 hours

Period: March - May 2027

Referent: Eleonora Cinti

Area: MATH-03/B

Topics in stochastic Analysis: Nonlinear Filtering and Stochastic Sewing

Katia Colaneri (Tor Vergata), Giacomo Lucertini (University of Augsburg)

Type: PhD course, basic

Number of lectures: 20 hours

Period: March – July 2027

Referent: Stefano Pagliarani, Andrea Pascucci

Area: MATH-03/A, MATH-04/A

Microlocal Analysis and Spectral Theory

Martin Vogel (CNRS Paris)

Type: PhD course, advanced

Number of lectures: 15 hours

Period: February - March 2027

Referent: Daniele Tantari

Area: MATH-04/A 

High-Dimensional Probability for Theoretical Machine Learning

Federica Gerace, Francesco Camilli

Type: PhD course, basic

Number of lectures: 20 hours

Period: January - February 2027

Referent: Daniele Tantari

Area: MATH-05/A

Computational Differential Geometry

Ronald Lui (The Chinese University of Hong Kong)

Type: PhD course, basic

Number of lectures: 10 hours

Period: June 2027

Referent: Serena Morigi

Area: IIND-01/F, MATH-05/A

Incompressible fluid dynamics: modeling and numerics - Part 1

Elisabetta De Angelis (DIN)

Type: PhD course, basic

Number of lectures: 20 hours

Period: November - December  2026

Referent: Valeria Simoncini, Fabiana Zama

Area: IIND-01/F, MATH-05/A

Incompressible fluid dynamics: modeling and numerics - Part 2

Michele Ruggeri, Valeria Simoncini

Type: PhD course, basic

Number of lectures: 10 hours

Period: January - May 2027

Referent: Valeria Simoncini, Fabiana Zama

Area: MATH-05/A

Mathematics and Machine Learning for image analysis

ERASMUS+ International PhD Summer School 2027

4 modules of 1 ECTS, 42 hours

Period: June 2027

Referent: Serena Morigi, Alessandro Lanza