Educational Offer - PhD Courses 2024-2025
The program, structured into two semesters, includes courses jointly organized with the University of Rome "La Sapienza" and Roma Tre. Below is the detail organized by semester.
First Semester (October 2024 - January 2025)
- Resolution of singularities - Prof. Micheal McQuillan (Tor Vergata). ~70 hours.
- Weak KAM theory and viscosity solutions on metric spaces - Prof. Albert Fathi (E.N.S. Lyon). 6 hours.
- Geometry of moduli of vector bundles on curves and special varieties - Advanced topics in Algebra and Geometry (Joint course) - Prof. Alessandro Verra (Roma Tre). 20 hours.
- Factorization homology - Advanced topics in Algebra and Geometry (Joint course) - Prof. Paolo Salvatore (Tor Vergata). 20 hours.
- Some results of geometric representation theory - Prof. Luca Casarin (Sapienza) & Luca Francone (Tor Vergata). 12 hours.
- Matrix functions and network analysis - Prof. Stefano Pozza (Tor Vergata). 8 lectures between 23/01 and 06/02/2025.
- Mathematical modeling of the human brain - Prof. Nicola Mercuri, Caterina Motta, Paola Antonietti, Ivan Fumagalli. 8 hours.
- Teaching Laboratory (Joint course) - Prof. Benedetto Scoppola (Tor Vergata). 20 hours.
Second Semester (March - June 2025)
- Introduction to PDE - Advanced topics in Analysis (Joint course) - Prof. Daniele Bartolucci (Tor Vergata). 24 hours.
- The ETH-Approach to Quantum Mechanics - Advanced topics in Mathematical Physics (Joint course) - Prof. Alessandro Pizzo (Tor Vergata). 20 hours.
- Kinetic Models and Related Optimal Control Problems - Prof. Alfio Borzì (Universität Würzburg). 15 hours.
- Stability and instability for nonlinear Schrödinger equations on tori - Advanced topics in Analysis (Joint course) - Prof. Michela Procesi & Emanuele Haus (Roma Tre). 20 hours.
- Statistical mechanics and disordered systems - Prof. Quentin Berger (Université Sorbonne Paris Nord). 14 hours.
- Advanced numerical methods for PDEs: the isogeometric paradigm - Advanced topics in Numerical Analysis (Joint course) - Prof. Carla Manni & Hendrik Speleers (Tor Vergata). 20 hours.
- Logic (Joint course) - Prof. Lorenzo Tortora De Falco (Roma Tre). 20 hours.
- History of Mathematics (Joint course) - Prof. Enrico Rogora (La Sapienza). 20 hours.
Key Features of the Program
- Inter-University Collaboration: Many courses are held jointly with La Sapienza and Roma Tre, expanding the teaching network.
- International Faculty: Presence of professors from prestigious foreign institutions (E.N.S. Lyon, Université Sorbonne Paris Nord, Universität Würzburg).
- Broad Thematic Spectrum: The offer covers analysis, mathematical physics, geometry, algebra, probability, numerical analysis, logic, didactics, and history of mathematics.
- Flexible Format: Some courses are intensive over a few weeks, while others are spread over months. Some courses are held in a hybrid format.