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.
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.
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.
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.
Sabhal Mor Ostaig, the Isle of Skye
CIRM and IHP
Ohio State University
Simons Laufer Mathematical Sciences Institute