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. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

This information is intended exclusively for students already enrolled in this course.
If you are a new student interested in enrolling, you can find information about the course of study on the course page:

Laurea magistrale in Mathematics - Enrollment from 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
6
B
MAT/08
6
B
MAT/07
6
B
MAT/03
12
B
MAT/05
6
B
MAT/05
6
C
MAT/06

2° Year   activated in the A.Y. 2019/2020

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2019/2020
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
3 modules to be chosen among the following
6
C
MAT/03
6
C
MAT/08
6
C
MAT/02
6
C
MAT/02
6
C
MAT/06
6
C
MAT/05
6
C
INF/01
6
C
MAT/09
6
C
MAT/08
6
C
MAT/07
6
C
MAT/08
Between the years: 1°- 2°
To be chosen between
6
B
MAT/02
6
B
MAT/02
Between the years: 1°- 2°
12
D
-
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.

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

Algebraic geometry (seminar course)  (2018/2019)

Teaching code

4S003201

Teacher

Francesca Mantese

Coordinator

Francesca Mantese

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

Period

II semestre dal Mar 4, 2019 al Jun 14, 2019.

Lessons timetable Seminars 1

Learning outcomes

The goal of the course is to introduce the basic notions and techniques of algebraic geometry including the relevant parts of commutative algebra, and create a platform from which the students can take off towards more advance topics, both theoretical and applied, also in view of a master's thesis project. The fist part of the course provides some basic concepts in commutative algebra, such as localization, Noetherian property and prime ideals. The second part covers fundamental notions and results about algebraic and projective varieties over algebraically closed fields and develops the theory of algebraic curves from the viewpoint of modern algebraic Geometry. Finally, the student will be able to deal with some applications, as for instance Gröbner basis or cryptosystems on elliptic curves over finite fields.

Program

Basic results in commutative algebra: rings an ideals, localization , Noetherian rings.

Affine and projective varieties.

Algebraic curves.

Reference texts
Author Title Publishing house Year ISBN Notes
William Fulton Algebraic Curves. An Introduction to Algebraic Geometry. Addison-Wesley 2008
Robin Hartshorne Algebraic Geometry Springer-Verlag New York 1977 978-0-387-90244-9
Siegfried Bosch Algebraic Geometry and Commutative Algebra Springer-Verlag London 2013 978-1-4471-4828-9

Examination Methods

To pass the exam students must demonstrate that they have understood the fundamental concepts and demonstration techniques of algebraic geometry, and to be able to support their argumentation with mathematical rigor.

Attendance at lessons and preparation of a seminar on a topic agreed upon with the teacher is required.


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