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 2020/2021

N.B: this schedule may change.

*(Description is provided for courses specific for the School. For the courses borrowed from the Master Degrees at the University of Trento or the University of Verona, a syllabus is provided on the University’s website)*

### Graphical Models

**Lecturer**: Veronica Vinciotti**Period**: Second semester - 12 hours

### Communicating Higher Mathematics

*(partially borrowed from the bachelor’s degree in mathematics in Trento)*

**Lecturers:**Marco Andreatta and Claudio Fontanari (University of Trento)**Period:**February-May 2021

### Algebraic Geometry I

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Edoardo Ballico (University of Trento)**Period**: September-December 2020

### Algebraic Geometry II

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Luis Eduardo Solá Conde**Period**: February-May 2021

### Advanced Coding Theory and Cryptography II

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Edoardo Ballico (University of Trento)**Period**: second semester 2020/2021

### Set Theory

*(borrowed from the master degree in mathematics at Trento) *

**Lecturer**: Stefano Baratella (University of Trento)**Period**: February-April 2021

### Tensor Decomposition for Big Data Analysis

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Alessandra Bernardi (University of Trento)**Period**: September-December 2020

### Advanced Commutative Algebra

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Alessandra Bernardi (University of Trento)**Period**: February-May 2021

### Applied stochastic differential equations

*(borrowed from the master degree in mathematics at Verona)*

**Lecturers**: Viktor Bezborodov (Wroclaw University of Science and Technology) and Adrian Zalinescu (Facultatea de Informatică Universitatea "Alexandru I. Cuza")**Period**: Spring 2021.

### Stochastic Differential Equations

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Stefano Bonaccorsi (University of Trento).**Period**: February-May 2021.

### From Hilbert's Programme to Dynamical Algebra

**Lecturers**: Roberta Bonacina (Universität Tübingen) and Ihsen Yengui (University of Sfax).**Period**: Module 1 March-April-May 2021; Module 2 videoregistration (already available).

### Advanced Calculus of Variations

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Marco Bonacini (University of Trento)**Period**: February-May 2021

### Topics in Discrete Mathematics

**Lecturers**: Arrigo Bonisoli, Simona Bonvicini, Giuseppe Mazzuoccolo, Anita Pasotti, Gloria Rinaldi (University of Modena and Reggio Emilia, University of Verona, University of Brescia)**Period**: February -June 2021.

### Advanced Group Theory

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Andrea Caranti (University of Trento)**Period**: February-May 2021

### Digital identity: enrollment, authentication, and all that

**Lecturers**: Roberto Carbone, Silvio Ranise, Giada Sciarretta (FBK and University of Trento)**Period**: April 2021 - May 2021

### The geometry of quantum algorithms

**Lecturer**: Frédéric Holweck (Université de Technologie de Belfort-Montbéliard)**Period**: October-November 2020.

### Advanced Topics in Analysis

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Gian Paolo Leonardi (University of Trento)**Period**: September-December 2020

### Representation Theory

*(borrowed from the master degree in mathematics at Verona)*

**Lecturer**: Francesca Mantese (University of Verona)**Period**: March -June 2021

### Geometric Measure Theory

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Andrea Marchese (University of Trento)**Period**: February-May 2021

### Simulation algorithms for computational systems biology

**Lecturer**: Luca Marchetti (University of Trento)**Period**: February-May 2021

### Modeling Strategic Decisions: from Optimal Control to Mean Field Games via Differential Games

**Lecturers**: Antonio Marigonda (University of Verona) and Fabio Bagagiolo (University of Trento)**Period**: February-April 2021

### Geometric Analysis

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Lorenzo Mazzieri (University of Trento)**Period**: February-May 2021

### The interplay between algebra and randomness in Cryptography

**Lecturer**: Alessio Meneghetti (University of Trento)**Period**: 8 March 2021-30 April 2021

### Basic analysis and discretization of hyperbolic conservation laws

**Lecturer**: Lucas Omar Müller (University of Trento)**Period**: February-May 2021

### Advances Number Theory

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Nadir Murru (University of Trento)**Period**: February - May 2021

### Bayesian Statistics

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Pier Luigi Novi Inverardi, Claudio Agostinelli (University of Trento)**Period**: February-May 2021

### Mathematical Physics - Differential geometric methods

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Enrico Pagani (University of Trento)**Period**: February-May 2021

### Advanced Geometry

*(borrowed from the master degree in mathematics at Trento)*

**Lecturer**: Roberto Pignatelli (University of Trento)**Period**: September-December 2020

### An introduction to Isogeny-based Cryptography

**Lecturer**: Federico Pintore, (Mathematical Institute, University of Oxford)**Period**: January – March 2020/2021

### Mathematical models for epidemics

**Lecturers**: Andrea Pugliese, Piero Poletti (University of Trento and FBK)**Period**: February 15 - April 1 (first part of the course "Advanced Topics in Biomathematics" + few on-line lectures from "Mathematical Biology")

### Mathematical Programming – Outline applications

*(borrowed from the master degree in mathematics at Verona)*

**Lecturer**: Romeo Rizzi (University of Verona)**Period**: January 22 - February 1, 2021

### Nonclassical Logics and Constructive Mathematics

*(borrowed from the master degree in mathematics at Verona)*

**Lecturers**: Peter Schuster (Università di Verona) and Stefania Centrone (Technische Universität Berlin)**Period**: Module 1 March-April-May 2021; Module 2 videoregistration (already available)

### Functions of complex and hypercomplex variable

**Lecturer**: Caterina Stoppato (Università di Firenze)**Period**: to be chosen, for a duration of 30 hours

### An Introduction to moduli spaces

**Lecturer**: Orsola Tommasi (Università di Padova)**Period**: hrs. 24. First lecture on December 2, 2020, 11:00 - Calendar - Click to enroll

### Numerical Methods for the Fluid Structure Interaction Problem

**Lecturer**: Christian Vergara (Politecnico di Milano)**Period**: January 2021