# 2024 Clay Research Conference and Workshops

The 2024 Clay Research Conference will be held on Wednesday, 2 October. Associated workshops will be held during the week of the conference, 30 September-4 October.

The 2024 Clay Research Conference will be held on Wednesday, 2 October. Associated workshops will be held during the week of the conference, 30 September-4 October.

CMI invites proposals under the Enhancement and Partnership Program for fiscal year 2025 (1 October 2024-30 September 2025) 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.

This is the equation which governs the flow of fluids such as water and air. However, there is no proof for the most basic questions one can ask: do solutions exist, and are they unique? Why ask for a proof? Because a proof gives not only certitude, but also understanding.

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.

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.

18 - 23 August 2025
### Women in Numbers Europe 5

University of Split

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29 June - 4 July 2025
### Dynamics and Rigidity: a Celebration of the Mathematics of Alex Eskin

Cetraro, Italy

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9 - 11 November 2024
### Representation Theory Days

Massachusetts Institute of Technology

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9 - 11 April 2025
### PAD 2025: Probability, Analysis and Dynamics

University of Bristol

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