# Courses

There are several courses organised by the School that students may attend depending on their individual curriculum.

All courses will be held at the Department of Mathematics except where differently indicated.

A transdisciplinary programme in Quantum Science and Technologies** **is a secondary programme that gives to the PhD candidate didactic and research traning on a complementary discipline.

The specific aims are:

- Promotion of transdisciplinary research in the Doctoral Course
- Training of PhD candidates with transdisciplinary competences
- Increase of the external collaborations

PhD students can apply for the program within 2 months of enrolling in the PhD program by sending an e-mail to phd.maths [at] unitn.it and attaching as required by the "TRANS-DISCIPLINARY PROGRAM IN SCIENCE AND QUANTUM TECHNOLOGY (TPQST) ":

- A motivation letter (other than the one presented for applying to the Ph.D., if any), specifying the reasons why the candidate deems her / his research project of interest for the field of QST.
- A brief research proposal, formally approved by the student's tutor or advisor.

More details in the following calendar.

## Courses for the academic year 2021/2022

- Quantum relativistic Theories (Valter Moretti)
- Differential Geometric Methods (Enrico Pagani)
- Theory of U-Statistics and their applications (Anand N. Vidyashankar)
- Mathematical Models for Epidemics (Andrea Pugliese, Giorgio Guzzetta, Piero Poletti)
- Bayesian Statistics (Pier Luigi Novi Inverardi , Claudio Agostinelli)
- Graphical Models and Network Science (Veronica Vinciotti)
- Advanced Statistical methods (Claudio Agostinelli)
- Model theory (Stefano Baratella)
- Type Theory (Roberto Zunino)
- Geometric Analysis (Lorenzo Mazzieri)
- Advanced Calculus of Variations (Marco Bonacini)
- An introduction to fluid-structure interaction problems (Christian Vergara, Luca Formaggia)
**Reduced Order Methods for Computational Mechanics (Gianluigi Rozza)**- Introduction to Malliavin Calculus" (Luciano Tubaro)
- Selected Topics in Number Theory for Advanced Cryptography (Giordano Santilli)
- Digital identity: enrollment, authentication, and all that (Roberto Carbone, Silvio Ranise, Giada Sciarretta)
- Commutative algebra applied to coding theory, cryptography and algebraic combinatorics (Carla Mascia)
- Advanced Commutative Algebra (Alessandra Bernardi)
- Advanced Number Theory (Nadir Murru)
- Homological Algebra (Lidia Angeleri)
- Algebraic Geometry I (Edoardo Ballico)
- Advanced Coding and Criptography (Edoardo Ballico)
- Perverse sheaves and intersection cohomology (Camilla Felisetti)
- Selected topics in Geometry and Topology (Paolo Ghiggini)
- Geometry and Topology for Data Analysis (Alessandro Oneto)
- Algebraic Geometry (Luis Eduardo Solá Conde)
- Mathematical Programming (Romeo Rizzi, Matteo Zavatteri)
- Geometric Measure Theory (Andrea Marchese)
- Regularity theory for Lambda minimizers of the perimeter (Giorgio Saracco)
**Transdisciplinary program in Quantum Science and Technologies**

Phd course added by resolution of the Doctoral School Committee dated 17 January 2022:

(This course can be included in the study plan of doctoral students)

- Optimal transport and applications (Andrea Marchese, Andrea Pinamonti)

Period: March - June

Indicative number of academic hours: 20

The schedule of Phd courses will be available in the download box

Information for courses borrowed from the master's degree: Lessons timetable

For lessons in presence, remember to ask for authorization to enter the venue where the course is held: access