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. Possible topics will be discussed at an information meeting in January. Selected topics from previous years include the Kadison-Singer problem, the discrete Kakeya problem, arithmetic progressions in the primes, the cut-off phenomenon in Markov chains, Schramm-Loewner evolution, and recent progress on sphere packing. The course format emphasizes interaction between students and active engagement.

Target group: PhD students (in particular first year students, but also more advanced students) with a strong mathematical interest.

Prerequisites: Participants are expected to have a solid mathematical background, at least at the level of a Mathematics BSc.

Evaluation: Students will be graded based on the quality of the presentations, homework, and active participation in class.

Teaching format: Flexible, depending on the number of enrolled students (most likely a mixture of lectures, a reading course, and presentations by the students).

ECTS: 3 Year: 2020

Track segment(s):
MAT-CORE Mathematics - track core course

Teacher(s):
Julian Fischer Tamas Hausel

Teaching assistant(s):

If you want to enroll to this course, please click: REGISTER