2024 Clay Research Conference and Workshops
The 2024 Clay Research Conference was held on Wednesday, 2 October. Videos of the plenary talks can be viewed in our Video Library.
The 2024 Clay Research Conference was held on Wednesday, 2 October. Videos of the plenary talks can be viewed in our Video Library.
CMI invites proposals under the Enhancement and Partnership Program for fiscal year 2026 (1 October 2025-30 September 2026) and later. The principal aim of the program is to enhance activities that are already planned and financially viable.
The Clay Mathematics Institute (CMI) calls for nominations for its competition for the 2025 Clay Research Fellowships.
The Clay Mathematics Institute is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought.
Supported by much experimental evidence, this conjecture relates the number of points on an elliptic curve mod p to the rank of the group of rational points. Elliptic curves, defined by cubic equations in two variables, are fundamental mathematical objects that arise in many areas: Wiles’ proof of the Fermat Conjecture, factorization of numbers into primes, and cryptography, to name three.
The prime number theorem determines the average distribution of the primes. The Riemann hypothesis tells us about the deviation from the average. Formulated in Riemann’s 1859 paper, it asserts that all the ‘non-obvious’ zeros of the zeta function are complex numbers with real part 1/2.
In 1904 the French mathematician Henri Poincaré asked if the three dimensional sphere is characterized as the unique simply connected three manifold. This question, the Poincaré conjecture, was a special case of Thurston’s geometrization conjecture. Perelman’s proof tells us that every three manifold is built from a set of standard pieces, each with one of eight well-understood geometries.
Mathematical Institute, University of Oxford
Sabhal Mor Ostaig, the Isle of Skye
CIRM and IHP
Ohio State University