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Mathematics track core course

Instructors: Uli Wagner and Jan Maas



The course provides a glimpse into selected topics of current mathematical research interest. The aim is to familiarize participants with basic notions, problems, and results outside their own research area. The course format emphasizes interaction between students and active engagement. 

Course Format

To start with, you will be asked to group up in teams of two and choose one of the preselected topics. 

The task and project of each team is to prepare five lectures and two recitations on your topic (this will cover two weeks of the course). The goal is to explain and teach the main ideas of a topic to the other students as clearly as possible. This involves

– getting an overview of the topic, possibly including finding additional references;

– selecting which aspects and parts of the material to present in the lectures (there will not be enough time to cover everything); this may include finding good examples or focusing on illustrative special cases that convey the main ideas and difficulties of a problem or result;

– carefully preparing a well-structured and detailed plan for the lectures (detailed notes, plus possibly some handouts, for blackboard talks, or slides for a slide talk, or a mixture of the two)

– choosing or designing exercises for the other students to solve, and co-moderating the discussions during the recitation.




Final Grade

Your grade will be based on

- your presentation (50%)
- homework (30%)
- active participation in class (20%)



Date Time Topic Lecturers Recitation
Tuesday February 28 11:30 - 12:45 Cutoff I Andras and Tomas 12:45 - 13:30
Thursday March 2 13:30 - 14:45 Cutoff II Andras and Tomas -
Friday March 3 10:15 - 11:30 Cutoff III Andras and Tomas 11:30 - 12:20
Tuesday March 7 12:30 - 13:45 Cutoff IV Andras and Tomas -
Tuesday March 14 12:30 - 13:45 Cutoff V Andras and Tomas 14:00 - 14:50
Tuesday March 28 12:30 - 13:45 Primes I Karen and Pascal 14:00 - 14:50
Thursday March 30 13:30 - 14:45 Primes II Karen and Pascal -
Friday March 31 10:15 - 11:30 Primes III Karen and Pascal 11:30 - 12:20
Tuesday April 18 12:30 - 13:45 Primes IV Karen and Pascal -
Friday April 21 10:15 - 11:30 Primes V Karen and Pascal 11:30 - 12:20

Additional Downloads

Homework: sheet 1, sheet 2

Additional material: David Conlon, Jacob Fox, Yufei Zhao: The Green-Tao theorem: an exposition.
See also a youtube video of the lecture by Yufei Zhao on this topic.