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.

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
Insegnamenti offerti ad anni alterni
Insegnamenti offerti ad anni alterni
ModulesCreditsTAFSSD
Insegnamenti offerti ad anni alterni
Insegnamenti offerti ad anni alterni
Modules Credits TAF SSD
Between the years: 1°- 2°
Between the years: 1°- 2°
Ulteriori competenze
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.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S00246

Teacher

Mauro Spera

Coordinator

Mauro Spera

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

II semestre, I semestre

Learning outcomes

The present seminar-based course covers some of the innumerable applications of geometry to real life situations, and also aims at enhancing the
student's critical awareness and ability to work autonomously.

Program

Programme (tentative)

*Topics in projective geometry

Synthetical approach to projective geometry: projections and sections. Plane homographies. Homologies. Applications to perspective drawing.
Quadrics and their projective, affine, metric classifications. Matrix approach to plane and spatial homographies. Rational Bezier curves and surfaces.
Applications to computational vision (viewing pipeline). Camera calibration, affine and metrical image reconstruction via the absolute conic.
Calibrating conic. Two-view geometry: epipolar geometry and fundamental matrix.

*Topics in Riemannian geometry
Review of basic notions. Geodesics. Exponential map. Curvature tensors. Applications: geometry of covariance matrices and computer vision. Shape spaces.
Lie groups and applications to robotics.

* Knot theory and applications

Geometrical and combinatorial aspects of knot theory.
Linking and writhing numbers.
Knot invariants. Applications.

Examination Methods

Assessment: the student shall write an essay and give an exposition on one of the course topics, agreed on with the instructor.

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