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.

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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
1st Semester Oct 1, 2009 Jan 31, 2010
2nd Semester Mar 1, 2010 Jun 15, 2010
Exam sessions
Session From To
Sessione straordinaria Feb 1, 2010 Feb 28, 2010
Sessione estiva Jun 16, 2010 Jul 31, 2010
Sessione autunnale Sep 1, 2010 Sep 30, 2010
Degree sessions
Session From To
Sessione autunnale Sep 30, 2009 Sep 30, 2009
Sessione straordinaria Dec 9, 2009 Dec 9, 2009
Sessione invernale Mar 16, 2010 Mar 16, 2010
Sessione estiva Jul 13, 2010 Jul 13, 2010
Holidays
Period From To
Festa di Ognissanti Nov 1, 2009 Nov 1, 2009
Festa dell'Immacolata Concezione Dec 8, 2009 Dec 8, 2009
Vacanze Natalizie Dec 21, 2009 Jan 6, 2010
Vacanze Pasquali Apr 2, 2010 Apr 6, 2010
Festa della Liberazione Apr 25, 2010 Apr 25, 2010
Festa del Lavoro May 1, 2010 May 1, 2010
Festa del Santo Patrono di Verona S. Zeno May 21, 2010 May 21, 2010
Festa della Repubblica Jun 2, 2010 Jun 2, 2010
Vacanze Estive Aug 9, 2010 Aug 15, 2010

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 Enrolment FAQs

Academic staff

A B F G M O S Z
Lidia Angeleri, September 30, 2019

Angeleri Lidia

symbol email lidia.angeleri@univr.it symbol phone-number 045 802 7911
Sisto, October 5, 2008

Baldo Sisto

symbol email sisto.baldo@univr.it symbol phone-number 3470157539
Foto, February 18, 2016

Ferro Ruggero

symbol email ruggero.ferro@univr.it symbol phone-number 045 802 7909
Foto, February 28, 2018

Gregorio Enrico

symbol email Enrico.Gregorio@univr.it symbol phone-number 045 802 7937
foto, December 16, 2015

Mantese Francesca

symbol email francesca.mantese@univr.it symbol phone-number +39 045 802 7978
Antonio Marigonda, June 28, 2012

Marigonda Antonio

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

Minelli Ida Germana

Laura Morato, October 10, 2010

Morato Laura Maria

symbol email laura.morato@univr.it symbol phone-number 045 802 7904
Etna, cratere SE, December 13, 1999

Orlandi Giandomenico

symbol email giandomenico.orlandi at univr.it symbol phone-number 045 802 7986
Foto, September 16, 2016

Sansonetto Nicola

symbol email nicola.sansonetto@univr.it symbol phone-number 049-8027932
foto M. Spera, September 27, 2010

Spera Mauro

symbol email mauro.spera@univr.it symbol phone-number +39 045 802 7816
Marco Squassina, January 5, 2014

Squassina Marco

symbol email marco.squassina@univr.it symbol phone-number +39 045 802 7913
GZ.JPG, August 31, 2011

Zampieri Gaetano

symbol email gaetano.zampieri@univr.it symbol phone-number +39 045 8027979

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 enrolment year.

CURRICULUM TIPO:
ModulesCreditsTAFSSD
12
B
MAT/05
Un insegnamento a scelta tra i seguenti
12
B
MAT/08
12
B
MAT/06
6
B
MAT/05
6
B
MAT/07
12
B
MAT/03
activated in the A.Y. 2010/2011
ModulesCreditsTAFSSD
Due insegnamenti da 6 cfu ciascuno tra i seguenti, oppure quello non gia' scelto tra i due del i anno a scelta da 12 cfu
12
B/C
MAT/08
6
B/C
MAT/06
6
B/C
MAT/09
6
B/C
MAT/08
12
B/C
MAT/06
6
B/C
FIS/02
6
B/C
MAT/07
6
B/C
MAT/09
6
B
MAT/05
Altre attivita' formative
4
F
-
12
D
-
32
E
-

1° Year 

ModulesCreditsTAFSSD
12
B
MAT/05
Un insegnamento a scelta tra i seguenti
12
B
MAT/08
12
B
MAT/06
6
B
MAT/05
6
B
MAT/07
12
B
MAT/03

2° Year   activated in the A.Y. 2010/2011

ModulesCreditsTAFSSD
Due insegnamenti da 6 cfu ciascuno tra i seguenti, oppure quello non gia' scelto tra i due del i anno a scelta da 12 cfu
12
B/C
MAT/08
6
B/C
MAT/06
6
B/C
MAT/09
6
B/C
MAT/08
12
B/C
MAT/06
6
B/C
FIS/02
6
B/C
MAT/07
6
B/C
MAT/09
6
B
MAT/05
Altre attivita' formative
4
F
-
12
D
-
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°Uno tra i seguenti insegnamenti da 6 cfu ciascuno
6
B
MAT/04
6
B
MAT/02
6
B
MAT/01
6
B
MAT/05
6
B
MAT/03

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.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Differential geometry and topology  (2009/2010)

Teaching code

4S02812

Academic staff

Mauro Spera, Nicola Sansonetto

Coordinatore

Mauro Spera

Credits

12

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

1st Semester dal Oct 1, 2009 al Jan 31, 2010.

Seminars

Learning outcomes

Learning objectives

The course delves further into general topology and introduces the basic notions of algebraic
and differential topology, focussing on the concept of differentiable manifold. Furthermore, the
elements of Riemannian geometry will be introduced as well.
The course, suitable to both curricula (didactic and applied) will be quite concrete and based
on examples also coming from other areas of mathematics.

Program

Course Programme

General topology (continued). Separation. Quotients.
Fundamental group. Covering spaces.
Differentiable manifolds.
De Rham's theory.
Riemannian manifolds.
Levi-Civita connection.
Curvature tensors (Riemann, sectional, Ricci, scalar).
Geodesics and their variational aspects.
Exponential map.
Lie groups. Symmetric spaces.
Riemann surfaces and algebraic curves.
Vector bundles, Euler's class and number, Euler-Poincare' characteristic.
The Poincare'-Hopf theorem.

Examination Methods

Written test, followed by an oral exam.

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

Teaching materials e documents

Type D and Type F activities

Modules not yet included

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.

MyUnivr

Erasmus+ and other experiences abroad


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.

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


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.

Attachments

Title Info File
Doc_Univr_pdf 1. Convenzione | Learning Agreement UNITN - UNIVR 167 KB, 27/08/21 
Doc_Univr_pdf 2. Sostituzione insegnamenti a UNITN - Courses replacement at UNITN 44 KB, 30/08/21 
Doc_Univr_pdf 3. Sostituzione insegnamenti a UNIVR - Courses replacement at UNIVR 113 KB, 30/08/21 

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.
Please refer to the Crisis Unit's latest updates for the mode of teaching.


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.

Attachments

Title Info File
Doc_Univr_pdf 1. Come scrivere una tesi 31 KB, 02/11/22 
Doc_Univr_pdf 2. How to write a thesis 31 KB, 02/11/22 
Doc_Univr_pdf 5. Regolamento tesi (valido da luglio 2022) 171 KB, 02/11/22 

List of theses and work experience 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
Stage Research area
Internship proposals for students in mathematics Various topics