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
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 2025/2026The 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.
1° Year
| Modules | Credits | TAF | SSD |
|---|
| Modules | Credits | TAF | SSD |
|---|
| Modules | Credits | TAF | SSD |
|---|
1 module between the following (a.a. 2022/23 Computational Algebra not activated; a.a. 2023/24 Homological Algebra not activated)1 module between the following 3 modules among the followingLegend | 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.
Homological Algebra (2022/2023)
Teaching code
4S010498
Academic staff
Coordinator
Credits
6
Also offered in courses:
- Representation theory of the course Master's degree in Mathematics
Language
English
Scientific Disciplinary Sector (SSD)
MAT/02 - ALGEBRA
Period
Semester 1 dal Oct 3, 2022 al Jan 27, 2023.
Learning objectives
The course provides a first introduction to homological algebra and representation theory of quivers, an important branch of modern algebra with connections to geometry, topology, theoretical physics and data science.
Prerequisites and basic notions
Linear algebra, basic notions of group theory and ring theory
Program
The first part of the course introduces to quivers and representations and covers fundamental notions and results from module theory. The second part provides some basic knowledge on categories and functors and introduces to homological algebra: homological functors, complexes, homology.
Bibliography
Didactic methods
The course consists of front lessons and classroom exercises. Moreover optional tutoring activities are offered. In particular, weekly home exercises are given. They are individually corrected by a tutor and discussed during the exercise hours.
The rights of students will be preserved in situations of travel limitation or confinement due to national provisions to combat COVID or in particular situations of fragile health. In these cases, you are invited to contact the teacher directly to organize the most appropriate remedial strategies.
Learning assessment procedures
The exam consists of an oral examination. Each student may choose to either: 1. carry out a traditional oral examination on the contents of the course; or 2. present a topic chosen in agreement with the course coordinators.
Evaluation criteria
The exam is aimed at verifying full maturity concerning demonstrative techniques and the ability to read and understand more advanced topics.
Criteria for the composition of the final grade
Additional points will be awarded to those students who achieve 50% or higher in the weekly exercise sheets.
Exam language
English
