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URL: https://www.claymath.org

⇱ Clay Maths Institute - Clay Mathematics Institute


2026 Clay Research Conference and Workshops

The 2026 Clay Research Conference will be held on Wednesday 23 September, with associated workshops held Monday, Tuesday, Thursday and Friday during the week of the conference.

Call for Proposals

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.

CMI-HIMR Summer School

CMI and the Heilbronn Institute announce the 2026 CMI-HIMR Summer School on Random Geometries and Random Matrices.

The Clay Mathematics Institute is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought.

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The Millennium problems

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Birch and Swinnerton-Dyer Conjecture

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.

Riemann Hypothesis

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.

Navier-Stokes Equation

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.

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Upcoming events

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👁 Image
7 - 11 September 2026

Fibrations in Group Theory and Topology

University of Oxford

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A CMI event
👁 Photo of Mathematical Institute
21 - 25 September 2026

The Birch and Swinnerton-Dyer Conjecture and Related Problems: Recent Results

Mathematical Institute, University of Oxford

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👁 CIMAT
10 - 14 August 2026

Billiards and Stars: Geometry and Dynamics

CIMAT

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👁 Edinburgh Futures Institute
22 - 26 June 2026

String Math 2026

University of Edinburgh

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Latest news

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👁 Torin Fastnedge
17 March 2026

STEM for Britain

Congratulations to Torin Fastnedge (Oxford), winner of the Parliamentary & Scientific Committee’s STEM for Britain Gold Medal, sponsored by CMI, for his poster Mathematical Modelling of Microfibre Released by Washing Machines, based on research with fellow Oxford mathematicians Chris Breward and Ian Griffiths.

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