Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

Academic calendar

The academic calendar shows the deadlines and scheduled events that are relevant to students, teaching and technical-administrative staff of the University. Public holidays and University closures are also indicated. The academic year normally begins on 1 October each year and ends on 30 September of the following year.

Academic calendar

Course calendar

The Academic Calendar sets out the degree programme lecture and exam timetables, as well as the relevant university closure dates..

Definition of lesson periods
Period From To
I semestre Oct 1, 2020 Jan 29, 2021
II semestre Mar 1, 2021 Jun 11, 2021
Exam sessions
Session From To
Sessione invernale d'esame Feb 1, 2021 Feb 26, 2021
Sessione estiva d'esame Jun 14, 2021 Jul 30, 2021
Sessione autunnale d'esame Sep 1, 2021 Sep 30, 2021
Degree sessions
Session From To
Sessione di laurea estiva Jul 22, 2021 Jul 22, 2021
Sessione di laurea autunnale Oct 14, 2021 Oct 14, 2021
Sessione di laurea invernale Mar 16, 2022 Mar 16, 2022
Holidays
Period From To
Festa dell'Immacolata Dec 8, 2020 Dec 8, 2020
Vacanze Natalizie Dec 24, 2020 Jan 3, 2021
Vacanze Pasquali Apr 2, 2021 Apr 5, 2021
Festa del Santo Patrono May 21, 2021 May 21, 2021
Festa della Repubblica Jun 2, 2021 Jun 2, 2021
Vacanze estive Aug 9, 2021 Aug 15, 2021

Exam calendar

Exam dates and rounds are managed by the relevant Science and Engineering Teaching and Student Services Unit.
To view all the exam sessions available, please use the Exam dashboard on ESSE3.
If you forgot your login details or have problems logging in, please contact the relevant IT HelpDesk, or check the login details recovery web page.

Exam calendar

Should you have any doubts or questions, please check the Enrollment FAQs

Academic staff

A B C D F G L M O R S

Albi Giacomo

symbol email giacomo.albi@univr.it symbol phone-number +39 045 802 7913

Baldo Sisto

symbol email sisto.baldo@univr.it symbol phone-number 0458027935

Bos Leonard Peter

symbol email leonardpeter.bos@univr.it symbol phone-number +39 045 802 7987

Caliari Marco

symbol email marco.caliari@univr.it symbol phone-number +39 045 802 7904

Castellini Alberto

symbol email alberto.castellini@univr.it symbol phone-number +39 045 802 7908

Cipriani Alessio

symbol email alessio.cipriani@univr.it symbol phone-number 049-8027932

Cozza Vittoria

symbol email vittoria.cozza@univr.it

Cubico Serena

symbol email serena.cubico@univr.it symbol phone-number 045 802 8132

Dai Pra Paolo

symbol email paolo.daipra@univr.it symbol phone-number +39 0458027093

Daldosso Nicola

symbol email nicola.daldosso@univr.it symbol phone-number +39 045 8027076 - 7828 (laboratorio)

Delledonne Massimo

symbol email massimo.delledonne@univr.it symbol phone-number 045 802 7962; Lab: 045 802 7058

Dipasquale Federico Luigi

symbol email federicoluigi.dipasquale@univr.it

Di Persio Luca

symbol email luca.dipersio@univr.it symbol phone-number +39 045 802 7968

Favretto Giuseppe

symbol email giuseppe.favretto@univr.it symbol phone-number +39 045 802 8749 - 8748

Gonzato Guido

symbol email guido.gonzato@univr.it symbol phone-number 045 802 8303

Gregorio Enrico

symbol email Enrico.Gregorio@univr.it symbol phone-number 045 802 7937

Laking Rosanna Davison

symbol email rosanna.laking@univr.it

Mantese Francesca

symbol email francesca.mantese@univr.it symbol phone-number +39 0458027978

Marigonda Antonio

symbol email antonio.marigonda@univr.it symbol phone-number +39 045 802 7809

Mattiolo Davide

symbol email davide.mattiolo@univr.it
Foto,  October 5, 2015

Mazzuoccolo Giuseppe

symbol email giuseppe.mazzuoccolo@univr.it symbol phone-number +39 0458027838

Monti Francesca

symbol email francesca.monti@univr.it symbol phone-number 045 802 7910

Orlandi Giandomenico

symbol email giandomenico.orlandi at univr.it symbol phone-number 045 802 7986
Foto,  June 23, 2016

Rapa Alessandro

symbol email alessandro.rapa@univr.it

Rizzi Romeo

symbol email romeo.rizzi@univr.it symbol phone-number +39 045 8027088
foto,  December 14, 2020

Rubio Y Degrassi Lleonard

symbol email lleonard.rubioydegrassi@univr.it

Sala Pietro

symbol email pietro.sala@univr.it symbol phone-number 0458027850

Sansonetto Nicola

symbol email nicola.sansonetto@univr.it symbol phone-number 045-8027976

Schiavi Simona

symbol email simona.schiavi@univr.it symbol phone-number +39 045 802 7803

Schuster Peter Michael

symbol email peter.schuster@univr.it symbol phone-number +39 045 802 7029

Segala Roberto

symbol email roberto.segala@univr.it symbol phone-number 045 802 7997

Solitro Ugo

symbol email ugo.solitro@univr.it symbol phone-number +39 045 802 7977

Study Plan

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.

CURRICULUM TIPO:

1° Year 

ModulesCreditsTAFSSD

2° Year   activated in the A.Y. 2021/2022

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2021/2022
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
1 module between the following
Between the years: 1°- 2°
1 module between the following 
Between the years: 1°- 2°
Between the years: 1°- 2°
Other activities
4
F
-

Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S008268

Coordinator

Luca Di Persio

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/06 - PROBABILITY AND STATISTICS

Period

II semestre dal Mar 1, 2021 al Jun 11, 2021.

Learning outcomes

This course will provide an introduction to the theory of Stochastic Differential Equations (SDEs), mainly based on the Brownian motion type of noise. The purpose of this course is to introduce and analyse probability models that capture the stochastic features of the system under study to predict the short and long term effects that this randomness will have on the systems under consideration. The study of probability models for continuous-time stochastic processes involves a broad range of mathematical and computational tools. This course will strike a balance between the mathematics and the applications. The main applications will be mathematical finance, biology and populations evolution, also with respect to their descriptions in terms of the associated SDEs. Topics include: construction of Brownian motion; martingales in continuous time; stochastic integral; Ito calculus; stochastic differential equations; Girsanov theorem; martingale representation; the Feynman-Kac formula and Lévy processes.

Program

* Probability essential recalls

* SP: definitions/main properties recall ; Martingales ; Option Sampling Theorem ; Quadratic Variation ;
* Stochastic processes at discrete time: recalls and emphasis on random walk (starting from the binomial model, also in more than 1 dimension);
* Different constructions of the Brownian motion: Kolmogorov Consistency Theorem / Kolmogorov-
Cénstor Th.eorem;
* Properties of the Brownian motion
* Derivation/construction of the Stochastic Integral(s) notion(s)
* Ito-Doeoblin rule: Levy's Criteria / Martingale Representation
* Stratonovich approach / Ito representation Theorem (applications/examples)
* Markov processes and relation(s) with the Brownian motion sp [further Bm's properties]
* Girsanov formula / Cameron-Martin (Girsanov) Theorem and Exponential Martingales
* Construction and rigorous derivation of Stochastic Differential Equations
* Strong solutions / Gronwall Lemma / Weak solutions (for SDEs)
* Diffusions / Semi-group approach / Markov property(ies)
* Dynkin's formula / Kolmogorov equation(s) / Feynman-Kac theorem
* Interplay between PDEs and SPDEs (via F-K theorem)
* SDEs application w.r.t. the Financial framework

Reference texts
Author Title Publishing house Year ISBN Notes
I. Karatzas and S. Shreve Brownian motion and stochastic calculus  
L. Rogers and D. Williams Diffusions, Markov Processes and Martingales (Vol 2.)  
Hoel, P. G., Port, S. C. and Stone, C. J. Introduction to Stochastic Processes Houghton Mifflin, Boston 1972
S. E. Shreve Stochastic Calculus for Finance II: Continuous-Time Models Springer, New York 2004
B. Øksendal Stochastic Differential Equations  
P. Protter Stochastic integration and differential equations  

Examination Methods

Oral exam with written exercise:
the exam is based on open questions and/or on the presentation of a project agreed with the course professor and or on the resolution of written exercises to be solved during the test itself. Questions, open-ended and exercises, aim at verify both the knowledge about arguments developed within the course, the solution of concrete problems belonging to Mathematical Finance, and to the acquired acquaintance of associated tools of stochastic analysis.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Type D and Type F activities

I semestre From 10/1/20 To 1/29/21
years Modules TAF Teacher
1° 2° Algorithms D Roberto Segala (Coordinator)
1° 2° Scientific knowledge and active learning strategies F Francesca Monti (Coordinator)
1° 2° Genetics D Massimo Delledonne (Coordinator)
1° 2° History and Didactics of Geology D Guido Gonzato (Coordinator)
II semestre From 3/1/21 To 6/11/21
years Modules TAF Teacher
1° 2° Advanced topics in financial engineering F Luca Di Persio (Coordinator)
1° 2° Algorithms D Roberto Segala (Coordinator)
1° 2° Python programming language D Vittoria Cozza (Coordinator)
1° 2° Organization Studies D Giuseppe Favretto (Coordinator)
List of courses with unassigned period
years Modules TAF Teacher
1° 2° ECMI modelling week F Not yet assigned
1° 2° ESA Summer of code in space (SOCIS) F Not yet assigned
1° 2° Google summer of code (GSOC) F Not yet assigned
1° 2° Introduzione all'analisi non standard F Sisto Baldo
1° 2° C Programming Language D Pietro Sala (Coordinator)
1° 2° LaTeX Language D Enrico Gregorio (Coordinator)
1° 2° Mathematics mini courses F Marco Caliari (Coordinator)

Career prospects


Module/Programme news

News for students

There you will find information, resources and services useful during your time at the University (Student’s exam record, your study plan on ESSE3, Distance Learning courses, university email account, office forms, administrative procedures, etc.). You can log into MyUnivr with your GIA login details: only in this way will you be able to receive notification of all the notices from your teachers and your secretariat via email and soon also via the Univr app.

Double degree

The University of Verona, through a network of agreements with foreign universities, offers international courses that enable students to gain a Double/Joint degree at the time of graduation. Indeed, students enrolled in a Double/Joint degree programme will be able to obtain both the degree of the University of Verona and the degree issued by the Partner University abroad - where they are expected to attend part of the programme -, in the time it normally takes to gain a common Master’s degree. The institutions concerned shall ensure that both degrees are recognised in the two countries.

Places on these programmes are limited, and admissions and any applicable grants are subject to applicants being selected in a specific Call for applications.

It's online Erasmus + - double joint degree a.y. 2024/2025

The latest Call for applications for Double/Joint Degrees at the University of Verona is available now!

For the presentation of the LA and subsequent recognition of CFUs, please refer to the International Mobility Regulations.

 

Documents


Alternative learning activities

In order to make the study path more flexible, it is possible to request the substitution of some modules with others of the same course of study in Mathematics at the University of Verona (if the educational objectives of the modules to be substituted have already been achieved in the previous career), or with others of the course of study in Mathematics at the University of Trento.

Documents


Attendance

As stated in the Teaching Regulations for the A.Y. 2022/2023, except for specific practical or lab activities, attendance is not mandatory. Regarding these activities, please see the web page of each module for information on the number of hours that must be attended on-site.
 


Career management


Student login and resources


Graduation

Deadlines and administrative fulfilments

For deadlines, administrative fulfilments and notices on graduation sessions, please refer to the Graduation Sessions - Science and Engineering service.

Need to activate a thesis internship

For thesis-related internships, it is not always necessary to activate an internship through the Internship Office. For further information, please consult the dedicated document, which can be found in the 'Documents' section of the Internships and work orientation - Science e Engineering service.

Final examination regulations

Upon completion of the Master’s degree dissertation students are awarded 32 CFU. The final examination consists of a written dissertation on a specific topic agreed with a supervising professor and presented to a commission (Dissertation Committee).

The dissertation can be high-level theoretical or experimental (in the latter case, it may focus on either basic or applied research), it can deal with a theoretical topic or propose the resolution of a specific problem, or description of a work project, and may be carried out at universities, research institutions, schools, laboratories and companies in the framework of internships, traineeships, study stays in Italy and abroad. The dissertation must be original and written by the student under the guidance of a Supervisor. At the request of the student, the dissertation may be written and presented in Italian.

Professors belonging to the Mathematics Teaching Committee, the Department of Computer Science, and any associated departments may be appointed as Supervisors, as well as any professors from the University of Verona whose area of interest (SSD - Scientific-disciplinary Sector) is included in the teaching regulations of the degree programme.

Students may take the final exam only if meeting all requirements set by the School of Sciences and Engineering.

The Master's degree in Mathematics is obtained by successfully passing the final examination and thus earning the 120 CFU included in the study plan.

The material submitted by the student for the final examination will be examined by the Dissertation Committee, which comprises three professors, possibly including the Supervisor, and appointed by the President of the Teaching Committee. The final examination will be assessed based on the following criteria: the student’s performance during the entire study programme, the knowledge acquired during the dissertation work, their understanding of the topic and autonomy of judgment, their ability to apply such knowledge, and communicate effectively and fully all the outcomes of the work and the main results obtained.

The final examination and the degree ceremony will be carried out, in one of the four graduation sessions throughout the academic year, by the Final Examination Committee appointed by the President of the Teaching Committee, and made up of a president and at least four members chosen from among the professors of the University.

For further information, please refer to the Final examination regulations.

Documents

Title Info File
File pdf 1. Come scrivere una tesi pdf, it, 31 KB, 02/11/22
File pdf 2. How to write a thesis pdf, en, 31 KB, 02/11/22
File pdf 5. Regolamento tesi pdf, it, 171 KB, 20/03/24

List of thesis proposals

theses proposals Research area
Controllo di sistemi multiagente Calculus of variations and optimal control; optimization - Hamilton-Jacobi theories, including dynamic programming
Controllo di sistemi multiagente Calculus of variations and optimal control; optimization - Manifolds
Controllo di sistemi multiagente Calculus of variations and optimal control; optimization - Optimality conditions
Formule di rappresentazione per gradienti generalizzati Mathematics - Analysis
Formule di rappresentazione per gradienti generalizzati Mathematics - Mathematics
Mathematics Bachelor and Master thesis titles Various topics

Erasmus+ and other experiences abroad