2025 Clay Research Conference and Workshops
The 2025 Clay Research Conference will held on Wednesday and Thursday, 1-2 October. Associated workshops will be held Monday, Tuesday, and Friday during the week of the conference.
The 2025 Clay Research Conference will held on Wednesday and Thursday, 1-2 October. Associated workshops will be held Monday, Tuesday, and Friday during the week of the conference.
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 2025 CMI HIMR Summer School on Formalizing Class Field Theory will take place in Oxford 21-25 July 2025.
The Clay Mathematics Institute is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought.
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.
If it is easy to check that a solution to a problem is correct, is it also easy to solve the problem? This is the essence of the P vs NP question. Typical of the NP problems is that of the Hamiltonian Path Problem: given N cities to visit, how can one do this without visiting a city twice? If you give me a solution, I can easily check that it is correct. But I cannot so easily find a solution.
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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University of Oxford
Mathematical Institute, University of Oxford
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