AF/NT seminar

Organizers: Mikołaj Frączyk (UJ), Borys Kuca (UJ), Jolanta Marzec-Ballesteros (UAM) and Anna Szumowicz (UJ)

Automorphic Forms/ Number Theory seminar is a recurrent meeting wandering between Jagiellonian University in Krakow (JU)  and Adam Mickiewicz University in Poznań (AMU), typically on the first Monday of the month. We plan to have two invited speakers per session preceded by  introductory talks by junior faculty or graduate students. 

We have limited funds to support travel for the participants from Poland to the seminar venue. 

Talks in Krakow will take place in the Conference Hall B  under the library at the Faculty of Mathematics and Computer Science of JU . Talks in Poznań will take place in the seminar room B1-37 at the Faculty of Mathematics and Computer Science of AMU. 

If you would like to join one of the talks online, contact one of the organizers to obtain a link.

Upcoming Meetings

March 13th, 2026 (Kraków)

13:00-14:00 Borys Kuca (UJ)  "Introduction to Diophantine approximation"

Abstract: Diophantine approximation is a very rich and active area at the intersection of number theory, measure theory, and fractal geometry, investigating the quantitative aspects of approximating real numbers by rationals. This introductory talk will present basic definitions and results from this subject and offer a glimpse at exciting open questions such as Littlewood's conjecture.

14:30-15:30 Noah Kravitz (Oxford University) "Lonely runners and their spectra"

Abstract:Dirichlet's Theorem from Diophantine approximation says that for any real number t, there is some v in {1,2,...,n} such that tv lies within 1/(n+1) of an integer. The Lonely Runner Conjecture of Wills and Cusick asserts that the constant 1/(n+1) in this theorem cannot be improved by replacing {1,2,...,n} with a different set of n nonzero real numbers. The conjecture, although now more than 50 years old, remains wide open for n larger than 7. In this talk I will describe a new approach based on the "Lonely Runner spectra" that arise when one considers the "inverse problem" for the Lonely Runner Conjecture. Based on joint work with Vikram Giri and with Vanshika Jain.