Event Details


June 1 to June 6, 2025

The Institute of Mathematics at the University of Granada will host the "New Trends in Arithmetic Combinatorics and related Fields" workshop at the University of Granada (IMAG) in Spain, from June 1 to June 6, 2025.

This workshop gathers leading experts to discuss the latest developments connected to arithmetic combinatorics, one of the most vibrant areas of contemporary mathematical research. This area brings together a large diversity of ideas and techniques from different mathematical fields, in order to study various kinds of combinatorial structures in subsets of groups, mainly abelian groups. One of the paradigmatic results in this area is a theorem published in 1975, due to Hungarian mathematician Endre Szemerédi (Abel Prize 2012), which states that every set of integers of positive upper density, whatever its structure may be, must contain extremely regular substructures, namely arithmetic progressions of arbitrary finite length. This workshop, marking the 50th anniversary of the publication of Szemerédi’s theorem, celebrates in particular the mathematics that have developed in relation to this theorem recently, involving various branches of combinatorics, analysis and number theory.

The Institute of Mathematics at the University of Granada(IMAG) in Granada, Spain, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta Technology and Innovation.

More information can be found on the BIRS website


Schedule

The schedule of this workshop can be found here: SCHEDULE of THIS WORKSHOP (not published yet)


Organizers

  • Pablo Candela (Instituto de Ciencias Matemáticas (ICMAT))
  • Anne de Roton (Université de Lorraine)
  • Harald Helfgott (CNRS)
  • Alisa Sedunova (Purdue University)
  • Oriol Serra (Universitat Politècnica de Catalunya)

Participants

Daniel Altman Stanford University
Benjamin Bedert University of Oxford
Adrian Beker University of Zagreb
Thomas Bloom University of Manchester
Jop Briët CWI
Marcelo Campos IMPA
Davi Castro-Silva University of Cambridge
Jonathan Chapman University of Warwick
Cécile Dartyge Université de Lorraine
Jehanne Dousse University of Geneva
Christian Elsholtz Graz University of Technology
Diego González-Sánchez Alfred Renyi Institute of Mathematics
Rachel Greenfeld Northwestern University
David Grynkiewicz University of Memphis
Alex Iosevich University of Rochester
Oleksiy Klurman University of Bristol
Borys Kuca Jagiellonian University
James Leng UCLA
Sophie Maclean King's College London
Máté Matolcsi Alfred Renyi Institute of Mathematics
Lilian Matthiesen Georg-August-Universität Göttingen
Luka Milićević Mathematical Institute of the Serbian Academy of Sciences and Arts
Amanda Montejano UNAM
Rudi Mrazovic University of Zagreb
Akshat Mudgal University of Warwick
Melvyn Nathanson Lehman College of the City University of New York
Miquel Ortega Universitat Politècnica de Catalunya
Péter Pál Pach Rényi Institute and BME
Giorgis Petridis The University of Georgia
Cédric Pilatte University of Oxford
Sean Prendiville Lancaster University
Joël Rivat Aix-Marseille University
Oliver Roche-Newton Johannes Kepler Universität
Misha Rudnev U Bristol
Xuancheng Shao University of Kentucky
Ilya Shkredov Purdue University
Jozsef Solymosi University of British Columbia
Balázs Szegedy Renyi Institute
Joni Teräväinen University of Cambridge
Kate Thomas University of Oxford
Lola Thompson Utrecht University
Marius Tiba King's College London
Matthew Tointon University of Bristol
Lluís Vena Universitat Politècnica de Catalunya
Max Wenqiang Xu Courant Institute, NYU
Julia Wolf University of Cambridge
Peter van Hintum Institute for Advanced Study, Princeton

Virtual participants

Sarah Peluse Stanford University
Jonathan Tidor Stanford University

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