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 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 2024/2025The 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 |
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2° Year It will be activated in the A.Y. 2026/2027
| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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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
3 modules among the following: area modeling and computational mathematics24 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 activatedLegend | 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.
Algebraic Geometry (2025/2026)
Teaching code
4S008272
Credits
6
Coordinator
Language
English
Also offered in courses:
- Algebraic Geometry - COMMUTATIVE ALGEBRA of the course Master's degree in Mathematics
- Algebraic Geometry - METHODS OF ALGEBRAIC GEOMETRY of the course Master's degree in Mathematics
- Algebraic Geometry - COMMUTATIVE ALGEBRA of the course Bachelor's degree in Applied Mathematics
- Algebraic Geometry - METHODS OF ALGEBRAIC GEOMETRY of the course Bachelor's degree in Applied Mathematics
- Algebraic Geometry - COMMUTATIVE ALGEBRA of the course Bachelor's degree in Applied Mathematics
- Algebraic Geometry - METHODS OF ALGEBRAIC GEOMETRY of the course Bachelor's degree in Applied Mathematics
Courses Single
AuthorizedThe teaching is organized as follows:
Learning objectives
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 advanced 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.
Prerequisites and basic notions
The students will be expected to have passed a first course in abstract Algebra course equivalent to the second year of the Applied Mathematics degree.
Bibliography
Criteria for the composition of the final grade
The final mark will be awarded on the basis of the oral exam.
