PhD Training Project
The Teaching Board approves the training project for each PhD student.
The PhD student’s training project consists of:
- developing an individual research program referring to a specific disciplinary field among those on which the Course is focused, under the guidance of the Supervisor;
- attending teaching activities at doctoral level complementary to the research not lower than 20 ECTS. The recognition of the ECTS, which can be acquired by attending courses and other educational activities, is carried out by the Teaching Board which authorizes the attendance and assesses the results. Educational activities, which can also be organized in common between more than one PhD course, also include training activities aimed at supporting research activities and providing tools to outline the professional identity of future research doctors.
The PhD course in Mathematical and Physical Sciences sets out the acquisition of
At least 12 ECTS |
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At least 2 ECTS |
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The individual research program ends with the writing of the thesis. The thesis, written in English, must contribute to the advancement of knowledge or methodologies in the chosen field of investigation.
The Teaching Board annually evaluates the training and research activities carried out by each PhD student for the admission in the following year and to the thesis assessment stage.
Courses
2024-2025
- Computability Theory of Hyperarithmetical Sets (MATH-01/A), Emanuele Frittaion (ref. Alberto Marcone)
- Variational methods in optimal control (MATH-03/A), Lorenzo Freddi (ref. Lorenzo Fraddi)
- Introduction to tropical geometry and some hints on toric geometry (MATH-02/B), Stefano Urbinati (ref. Stefano Urbinati)
- Index theory for planar Hamiltonian systems (MATH-03/A), Alberto Boscaggin (ref. Guglielmo Feltrin)
- Continuation and bifurcation analysis of dynamical systems (MATH-05/A), Davide Liessi (ref. Dimitri Breda)
- Mathematical Finance (STAT-04/A), Andrea Molent (ref. Andrea Molent)
- Radiation-matter interaction and radiation damage (PHYS-01/A), Simone Monzani (ref. Simone Monzani)
- Quantum computing, entanglement and quantum reality (02/PHYS-06), Federico Fogolari (ref. Federico Fogolari)
2023-2024
- Advanced Statistics (SECS-S/01), contact: Valentina Mameli
- Exponential Runge-Kutta Methods (MAT/08), contact: Rossana Vermiglio
- Introduction to mathematical modeling of infectious diseases (MAT/08), contact: Rossana Vermiglio
- Lie Algebras (MAT/02), contact: Mario Mainardis
- Linear Orderings (MAT/01), contact: Vincenzo Dimonte
- Introduction to the zoo of reverse mathematics (MAT/01), contact: Alberto Marcone
- Determinacy and I0 (MAT/01), contact: Vincenzo Dimonte
- Numbers, Numerosities and Non-Standard Analysis (MAT/01 – MAT/05), contact: Roberta Musina
- Conceptual Change and Learning Progression (FIS/08) contact: Marisa Michelini
- Classical and Quantum Simulations of nano- and bio-systems (FIS/03, FIS/07), contact: Paolo Giannozzi
- Asymptotic symmetries in gravity (FIS/02), contact: Daniele Pranzetti
- Covariant phase space and Noether’s theorems (FIS/02), contact: Daniele Pranzetti
- Radiation-matter interaction and radiation damage (FIS/01), contact: Simone Monzani
- Advanced general relativity (FIS/02), contact: Stefano Ansoldi
- An introduction to stochastic differential equations (MAT/08), contact: Dimitri Breda
- Statistical Methods in Biophysics (FIS/07), contact: Federico Fogolari
SUPE and CISM Courses:
- Delays and structure in dynamical systems: modeling, analysis and numerical methods (MAT/08), contact: Dimitri Breda
- Mathematics for machine learning (MAT/08), contact: Dimitri Breda
- Commutative Algebra (MAT/02), contact: Mario Mainardis
- Wqo and bqo theory with applications (MAT/01), contact: Alberto Marcone
2022-2023
Basic courses:
- Reverse Mathematics (MAT/01), contact: Alberto Marcone
- An introduction to Sobolev spaces with applications in Calculus of Variations and Critical Point Theory (online) (MAT/05), contact: Roberta Musina
- Radiation-matter interaction and radiation damage (FIS/01), contact: Marina Cobal, Simone Monzani
- Role of the laboratory and didactic experiments of electromagnetism and optics (FIS/08), contact: Marisa Michelini, Lorenzo Santi
- Classic and Quantum Simulations of nano- and bio-systems (FIS/03, FIS/07), contact: Federico Fogolari, Paolo Giannozzi
- Mathematical finance (SECS-S/06), contact: Andrea Molent
- Relative periodicity in locomotion models (MAT/07), contact: Paolo Gidoni
Advanced courses:
- A crash course on computational mathematics for medical imaging (MAT/08), contact: Rossana Vermiglio
- Loops of prescribed curvature and magnetic geodesics: the variational approach (MAT/05), contact: Roberta Musina, Duccio Papini
- Metodi per la didattica della fisica (FIS/08), contact: Marisa Michelini
- Research Based Educational Design (FIS/08), contact: Marisa Michelini
- Applied Bayesian Statistics (MAT/05), contact: Michela Battauz, Valentina Mameli