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.
The Clay Mathematics Institute is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought.
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.
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.
Yang-Mills & the Mass Gap
Experiment and computer simulations suggest the existence of a “mass gap” in the solution to the quantum versions of the Yang-Mills equations. But no proof of this property is known.
A CMI event
Multi-valued Harmonicity
Mathematical Institute, University of Oxford
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Young Topologists Meeting
University of Copenhagen
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A CMI event
2026 Clay Research Conference and Workshops
Mathematical Institute, University of Oxford
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Early Career Number Theorists in South-Eastern Europe (ECNTSEE)
American University of Beirut Mediterraneo
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