Probability in Number Theory

Les probabilités en théorie des nombres

May 14 – June 1, 2018

Organizers: Andrew Granville (Montréal), Dimitris Koukoulopoulos (Montréal), Maksym Radziwill (McGill)

The appearance of Probability in Number Theory can be traced back to a famous collaboration of Erdős and Kac. Nowadays, probabilistic techniques are routinely used in the study of integers and L-functions. However, until recently there had not been much room for modern and deep techniques of probability theory. During the past few years this has changed notably. Conversely, number theoretic techniques and heuristics have been proven effective in resolving standing problems in combinatorics and discrete probability theory. The goal of this month-long program is to bring together experts from Number Theory and Probability to highlight and facilitate the interactions between these two fields of mathematics.

The first week of the program (May 14-18) will be dedicated to a summer school featuring lecture series by Kevin Ford (Illinois), Adam Harper (Warwick), and K. Soundararajan (Stanford). We seek applications from young researchers to attend the school. Priority will be given to advanced PhD students and early PhD graduates. We hope to be able to offer financial support of 800 CAD to each participant.

We would also like to invite applications for five junior members of the program, who will stay in residence for all three weeks of the program. Their travel and lodging expenses will be supported up to 2,000 CAD.

Please encourage any interested number theorists to apply by sending the following items:

1) Curriculum Vitae
2) A research statement of 1-2 pages explaining the research the applicant is working on and why they think they would benefit from the summer school.

3) Only for those applying to be a junior member of the program: two letters of recommendation

The application packages are to be submitted to Louis Pelletier via email at The deadline is January 21, 2018.

The remainder of the program will gather at CRM several of the leading experts in the fields of Probability and Number Theory. We also invite applications for five month-long postdoctoral positions (details to follow). Among other things, we will run a frequent research seminar for the participants of our program.