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Invitation to Combinatorics
Provider: Faculty of Science

Activity no.: 7003-22-07-31 
Enrollment deadline: 21/11/2022
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time21.11.2022, at: 08:00 - 27.01.2023, at: 16:00
Regular seats50
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserKarim Alexander Adiprasito    E-mail address: ka@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 2
Scheme groupC
Exam formContinuous assessment
Exam details2-4 in-class oral presentations (depending on the number of enrolled students). The in-class oral presentations are weighted the same and the course performance is assessed as a whole.
Exam aidsAll aids allowed
Grading scale7 point grading scale. For PhD students: Passed / Not Passed
Course workload
Course workload categoryHours
Lectures36.00
Preparation116.00
Theory exercises27.00
Exam27.00
Sum206.00
Content
Discrete Mathematics is the study of discrete, as opposed to continuous objects. Often also called combinatorics, it is primarily associated with counting questions.
Importantly, however, it also finds application and stands in relation to other areas, such as representation theory and algebraic geometry. The idea of the course is to provide a panorama of such relations and interplays, ideally giving glimpses into current research.

A particular focus is on learning algebraic, geometric as well as probablistic methods in combinatorics. Specific topics are selected based on current research. Topics discussed include
- Probablistic methods and extremal combinatorics,
- Algebraic methods and formal power series
- Geometric combinatorics and discrete geometry.

Learning outcome
Knowledge: To display knowledge and understanding of the course topics and content at a level suitable for further studies in Combinatorics.

Skills: At the end of the course the student is expected to be able to follow and reproduce arguments at a high abstract level corresponding to the contents of the course.

Competences: At the end of the course the student is expected to be able to apply basic techniques and results to concrete examples.

Teaching and learning methods
4 hours lectures and 3 hours exercises/recitation for 9 weeks

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