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. 2018/2019

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2018/2019
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
3 courses to be chosen between
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 activitites
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)  (2017/2018)

Teaching code

4S003201

Teacher

Ihsen Yengui

Coordinator

Ihsen Yengui

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

Period

I sem. dal Oct 2, 2017 al Jan 31, 2018.

Lessons timetable Seminars 0

Learning outcomes

The aim of the seminar course is to provide the student with a first introduction to algebraic geometry, including the relevant parts of commutative algebra. At the end of the course the student will be able to deal with the basics of Gröbner basis theory and its basic applications, as well as with finite fields and cryptosystems, both elliptic and non-elliptic.

Program

1) The Geometry-Algebra Dictionary: Ideals in Polynomial Rings, Affine Algebraic Sets, Hilbert’s Nullstellensatz, Irreducible Algebraic Sets, Noether Normalization, Dimension of a Variety.
2) Gröbner Bases and Applications: Monomial Orders, Division Algorithm in Multivariate Polynomial Rings, Buchberger’s Algorithm, Elimination Theory, Some Application of Gröbner Bases.
3) Finite fields and cryptography.
4) Elliptic Cryptosystems: Elliptic Curves, Elliptic Curve Cryptosystems.

Reference texts
Author Title Publishing house Year ISBN Notes
N. Koblitz Algebraic Aspects of Cryptography. Algorithms and Computation in Mathematics. Springer 1993
D. Cox, J. Little, D. O'Shea Ideals, Varieties and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra. Springer 1995

Examination Methods

Participation at the course and seminar presentation of an argument to be agreed upon.

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