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.

Study Plan

A.A. 2026/2027 A.A. 2025/2026

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
12
B
MAT/05
6
B
MAT/07

2° Year   It will be activated in the A.Y. 2026/2027

ModulesCreditsTAFSSD
Final exam
30
E
-
ModulesCreditsTAFSSD
12
B
MAT/05
6
B
MAT/07
It will be activated in the A.Y. 2026/2027
ModulesCreditsTAFSSD
Final exam
30
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
2 modules among the following: area algebra and geometry + analysis
- A.A. 2025/2026 Homological Algebra not activated
- A.A. 2026/2027 Applied algebra not activated
6
B
MAT/03
6
B
MAT/02 ,MAT/03
6
B
MAT/02
6
B
MAT/03
6
B
MAT/02
6
B
MAT/05
6
B
MAT/02
6
B
MAT/05
6
B
MAT/05
Between the years: 1°- 2°
3 modules among the following: area modeling and computational mathematics
6
B
MAT/07
6
B
MAT/08
6
B
MAT/06
6
B
MAT/09
6
B
MAT/08
6
B
MAT/08
6
B
MAT/08
6
B
MAT/06
6
B
MAT/06
6
B
MAT/06
Between the years: 1°- 2°
24 credits among the following courses
- A.A. 2025/2026 Homological Algebra not activated.
- A.A. 2025/2026 Physics education laboratory not activated
- A.A. 2026/2027 Applied algebra not activated
6
C
MAT/01
6
C
MAT/03
6
C
MAT/02 ,MAT/03
6
C
MAT/07
6
C
MAT/02
6
C
MAT/02
6
C
INF/01
6
C
INF/01
6
C
MAT/03
6
C
MAT/08
6
C
MAT/02
6
C
SECS-P/08
6
C
INF/01
6
C
MAT/06
6
C
MAT/01
6
C
MAT/05
6
C
MAT/09
12
C
MAT/04
6
C
MAT/02
6
C
FIS/01
6
C
MAT/08
6
C
MAT/08
6
C
MAT/08
6
C
MAT/05
6
C
MAT/05
6
C
FIS/01
6
C
MAT/06
6
C
MAT/06
6
C
MAT/06
Between the years: 1°- 2°
Further activities
6
F
-
Between the years: 1°- 2°
12
D
-

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

Advanced geometry  (2025/2026)

Teaching code

4S003197

Teacher

Alessia Mandini

Coordinator

Alessia Mandini

Credits

6

Also offered in courses:

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

2nd semester dal Mar 2, 2026 al Jun 12, 2026.

Courses Single

Authorized

Lessons timetable MoodleMoodle Seminars 0

Learning objectives

This course provides students with the basic concepts of Graph Theory and the basics of Discrete and Computational Geometry. At the end of the course, the student will know the main classical theorems of graph theory, in particular about structural properties, colorings, matchings, embeddings and flow problems. He/she will also be familiar with basic Discrete Geometry results and with some classical algorithms of Computational Geometry. He/she will have the perception of links with some problems in non mathematical contexts. he/she will be able to produce rigorous proofs on all these topics and he/she will be able to read articles and texts of Graph Theory and Discrete Geometry.

Prerequisites and basic notions

A basic introduction to smooth manifolds and their properties.

Program

Symplectic linear algebra. Symplectic manifolds, Darboux Theorem. Almost complex structures, compatibility with a symplectic form and basic definitions of Kähler geometry. Symplectic and Hamiltonian vector fields, group actions on a manifold, Hamiltonian actions and moment map. The convexity theorem and Delzant's construction.

Bibliography

Vai alla bibliografia
Visualizza la bibliografia con Leganto, strumento che il Sistema Bibliotecario mette a disposizione per recuperare i testi in programma d'esame in modo semplice e innovativo.

Didactic methods

Lectures and exercise sessions.

Learning assessment procedures

Written test, compulsory, 150min
Oral test upon request of the teacher

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

Evaluation criteria

To pass the exam, students must demonstrate that they:
- know and have understood the fundamental concepts of symplectic geometry;
- have adequate analysis and synthesis skills and abstraction;
- knowing how to apply this knowledge to solve problems and exercises, knowing how to argue their reasoning with mathematical rigor.

Criteria for the composition of the final grade

The written test is passed with a grade of at least 18 out of 30.

Exam language

english