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

Albiero Andrea

symbol email andrea.albiero@univr.it

Baldo Sisto

symbol email sisto.baldo@univr.it symbol phone-number +39 045 802 7935

Bos Leonard Peter

symbol email leonardpeter.bos@univr.it

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 +39 045 802 7838

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 +39 045 802 7093

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 +39 045 802 7937

Laking Rosanna Davison

symbol email rosanna.laking@univr.it symbol phone-number +39 045 802 7838

Mantese Francesca

symbol email francesca.mantese@univr.it symbol phone-number +39 045 802 7978

Marigonda Antonio

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

Mattiolo Davide

symbol email davide.mattiolo@univr.it

Mazzuoccolo Giuseppe

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

Monti Francesca

symbol email francesca.monti@univr.it symbol phone-number +39 045 802 7910

Orlandi Giandomenico

symbol email giandomenico.orlandi at univr.it symbol phone-number +39 045 802 7986
Foto,  June 23, 2016

Rapa Alessandro

symbol email alessandro.rapa@univr.it

Rizzi Romeo

symbol email romeo.rizzi@univr.it symbol phone-number +39 045 802 7088
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 +39 045 802 7850

Sansonetto Nicola

symbol email nicola.sansonetto@univr.it symbol phone-number +39 045 802 7932

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 +39 045 802 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

4S003196

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

I semestre dal Oct 1, 2020 al Jan 29, 2021.

Learning outcomes

The course aims to provide students with the basic concepts on Differential Geometry of manifolds. At the end of the course the student will know the main terminology and definitions about manifolds and Riemannian manifolds, and some of the main results. He/she will be able to produce rigorous arguments and proofs on these topics and he/she will be able to read articles and texts of Differential Geometry.

Program

All the lectures will be held in-class and the entire course will be available also online.
In addition, notes for each lecture will be provided.

-REVIEW GENERAL TOPOLOGY
-SURFACES EMBEDDED IN THE EUCLIDEAN 3-SPACE:
• Differentiable Atlas
• Orientable Atlas
• Tangent plane
• Normal versor
• First Fundamental Form: lengths and area
• Geodesic curvature and normal curvature
• Normal sections and Meusnier Theorem
• Principal Curvatures, Gaussian curvature, Mean curvature: minimal surfaces
• Theorema Egregium
• Geodetics
- TENSOR CALCULUS
• Free vector space
• Tensor product of two vector spaces
• Tensor product of n vector spaces
• Tensor Algebra
• Transformation of the componenents of a tensoriale
• Mixed tensors
• Symmetric tensors
• Antysimmetric (alternating) tensors
• Exterior Algebra
• Determinant
• Area and Volume
-DIFFERENTIAL MANIFOLDS
• Definition and examples
• Classification of 1-manifolds
• Classification of simply-connected 2-manifolds
• Product and quotient spaces
• Differentiable maps
• Tangent space and tangent bundle
• Vector field on a manifold
• Tensor field
• Exterior Algebra on manifolds
• Riemannian Manifolds
• Metric Tensor
• Orientations
• Volume
• Exterior derivative
• De Rham Cohomology
• Homotopy
-AFFINE CONNECTION AND CURVATURE TENSOR
• Affine connection
• Parallel transport
• Levi-Civita connection
• Geodetics
• Riemann curvature tensor
• Bianchi identities

Reference texts
Author Title Publishing house Year ISBN Notes
Do Carmo Differential Geometry of Curves and Surfaces (Edizione 2) 2016
Do Carmo Riemannian Geometry 1992
Jürgen Jost Riemannian Geometry and Geometric Analysis (Edizione 5) Springer 2008

Examination Methods

During the exam, students must show that:
- they know and understand the fundamental concepts of differential geometry
- they have analytical and abstraction abilities
- they support their argumentation with mathematical rigor.

The exam consists of a written test in which the student will have to choose one of two essays in which they provide a broad discussion of one of the topics presented during the lectures (answer approximately 2/3 pages ) and two of three short questions (answer approximately 10 rows).

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 also via the Univr app.

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 modes and venues

As stated in the Teaching Regulations , 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.

Part-time enrolment is permitted. Find out more on the Part-time enrolment possibilities page.

The course's teaching activities take place in the Science and Engineering area, which consists of the buildings of Ca‘ Vignal 1, Ca’ Vignal 2, Ca' Vignal 3 and Piramide, located in the Borgo Roma campus. 
Lectures are held in the classrooms of Ca‘ Vignal 1, Ca’ Vignal 2 and Ca' Vignal 3, while practical exercises take place in the teaching laboratories dedicated to the various activities.


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