PhD Course - Proofs from The Book
Associate Professor Riko Jacob, PhD student Tobias Lybecker Christiani and PhD student Matteo Dusefante
Collaborative, discussion-based lectures. Participants present mathematical proofs followed by a discussion.
Dates of the course:
Week 3 to week 8 in 2018 (6 weeks)
Tuesday and Thursday 13:00-15:00
The course is a reading of "Proofs from The Books" - a collection of mathematical proofs that embody the concept of mathematical beauty. The proofs are divided evenly among five fields: number theory, geometry, analysis, combinatorics, and graph theory. The goal of the course is to obtain an understanding of the proofs in each of these areas, to discover new proof techniques, and to discover potential applications and connections to theoretical computer science.
Before each lecture participants will read half a chapter and prepare a presentation of one (or more) proofs on the whiteboard. Participants should make at least five presentations during the course.
Week 3: Number Theory
Week 4: Geometry
Week 5: Analysis
Week 6: Combinatorics
Week 7: Graph Theory
Week 8: Exam week
Undergraduate profiency in linear algebra, calculus, probability theory, number theory, and discrete math.
Supervised oral examination (seminar). Presentation of one or more open problems related to the course topics. Students must present individually.
How to sign up:
Write an email to firstname.lastname@example.org