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

This information is intended exclusively for future freshmen who will enroll for the 2025/2026 academic year.
If you are already enrolled in this course of study, consult the information available on the course page:

Master's degree in Mathematics - Enrollment until 2024/2025

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

Differential geometry  (2025/2026)

Teaching code

4S003196

Academic staff

Alessia Mandini, Anna Barbieri

Coordinator

Alessia Mandini

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

1st semester dal Oct 1, 2025 al Jan 30, 2026.

Courses Single

Authorized

Lessons timetable MoodleMoodle Seminars 0

Learning objectives

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.

Prerequisites and basic notions

Differentiable calculus in several variables, topology, linear algebra.

Program

Differentiable manifolds, differential forms, elements of Lie Theory and fiber bundles.

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 tutorials

Learning assessment procedures

Exam structure:
- Written test (must be passed in order to access the oral part)
- Oral exam (admission subject to passing the written test)

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

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

Criteria for the composition of the final grade

Weighted average of the written and oral examinations (70% written exam + 30% oral exam)

Exam language

English