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Event

SMS 2026 - Universal Statistics in Number Theory

Monday, May 4, 2026toFriday, May 15, 2026

Overview

This school will introduce the key topics from both sides of the program, including lecture series by probabilists as well as number theorists.

One of the hottest topics in analytic number theory involves the use of statistics and probability in understanding different aspects of algebraic and analytic number theory, through various new lenses. This is reflected in some of the most exciting number theory research of the last few years (for example, of Bhargava, of Ellenberg and Venkatesh, of Alexander Smith, of Sawin and Wood, of Adam Harper, of Koukoulopoulos and Maynard, of Helfgott and Radziwill, of Pilatte,....). As a consequence the CRM will host a thematic semester Mar 2-July 3, 2026 on these topics involving some of the world leaders in the subject. Since this new area can roughly be split in two into Algebraic and Analytic, we will focus for two months on each, with the SMS school placed in the middle. The 2026 SMS will introduce junior mathematicians to important trends in number theory.

School Structure

The first week will have a focus on arithmetic statistics but will include some of the more basic probabilistic number theory lectures. The second week will have a focus on probabilistic number theory, but will include some of the more advanced arithmetic statistics lectures. There will be three or four hours of lecture courses per day, accompanied by several problem sessions and working groups.

Participants should make their own accommodation arrangements in advance. (See the tab in the navigation menu for suggestions). Be cautious when contacted by anyone else who suggests they are associated with the conference.

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