Recent results in number theory and arithmetic geometry to be discussed in Madrid

9 July, 2024

The tenth edition of the Number Theory Conference, organized by the ICMAT and the Universidad Autónoma de Madrid, will be held from July 8 to 12.

The Centro Cultural La Corrala will be the main venue for the conference. Image: UAM

Laura M. Iraola (ICMAT)

The Jornadas de Teoría de Números (Number Theory Conference) was launched in 2005, a meeting which, since then and every two years, brings together specialists in this area of research –in different branches, such as algebraic, analytical or combinatorial–, and in arithmetic geometry. From July 8 to 12, the tenth edition of this conference will be held at the Centro Cultural La Corrala de Madrid, attached to the Universidad Autónoma de Madrid (UAM), as the main venue, and at the ICMAT.

“They are all very active areas, but perhaps the most popular are those related to arithmetic geometry and analytic number theory, both of which are present at the conference,” comments the conference organizing committee. “They are the subject of two of the millennium problems: the Birch and Swinnerton-Dyer conjecture and the Riemann hypothesis. The latter is perhaps the most famous open problem in mathematics. Very recently, in May 2024, James Maynard (Oxford University and Fields Medal winner in 2022) and Larry Guth (MIT) have made a significant breakthrough,” they explain.

The conference was born in Vilanova i la Geltrú (Barcelona) as an idea of the mathematician Josep González-Rovira, a member of the Universitat Politècnica de Catalunya (UPC). They were soon well received by colleagues from other universities in Spain who also worked in number theory. These ten editions have fostered active collaborations within the specialist community, according to the organizers.

The main purpose in the early years was to be a meeting point between research personnel from Spain and Latin America. “There has always been a connection between both sides of the Atlantic, both in analytic and combinatorial number theory (in particular with Mexico and Colombia) and in more algebraic aspects (especially with Argentina and Uruguay),” the organization indicates. However, in this tenth edition the origins of the attendees go beyond Ibero-America. More than 80 mathematicians from countries in Latin America, Europe and Asia, such as China and India, ranging from those with more established careers to doctoral and master’s degree students, will be attending.

This year’s edition also serves as a tribute to Adolfo Quirós, a member of the UAM and one of the creators of the Conference, on his 65th birthday. “Adolfo’s most outstanding characteristic, beyond his contributions to the study of arithmetic geometry, is his enthusiasm for everything related to mathematics, which has led him to get involved in activities of all kinds in collaboration with many of the people who regularly attend the Jornadas”, emphasize the organizing committee.

Organizing Committee