Clay Mathematics Institute
The Clay Mathematics Institute is a private, non-profit foundation dedicated to increasing and disseminating mathematical knowledge. Formerly based in Peterborough, New Hampshire, the corporate address is now in Denver, Colorado. CMI's scientific activities are managed from the President's office in Oxford, United Kingdom. It gives out various awards and sponsorships to promising mathematicians. The institute was founded in 1998 through the sponsorship of Boston businessman Landon T. Clay. Harvard mathematician Arthur Jaffe was the first president of CMI.
While the institute is best known for its Millennium Prize Problems, it carries out a wide range of activities, including conferences, workshops, summer schools, and a postdoctoral program supporting Clay Research Fellows.
Governance
The institute is run according to a standard structure comprising a scientific advisory committee that decides on grant-awarding and research proposals, and a board of directors that oversees and approves the committee's decisions., the board is made up of members of the Clay family, whereas the scientific advisory committee is composed of Simon Donaldson, Michael Hopkins, Andrei Okounkov, Gigliola Staffilani, Andrew Wiles, and Martin R. Bridson. Bridson is the current president of CMI.2024 updates
2024 Clay Research Fellows
The Clay Mathematics Institute has announced that Ishan Levy and Mehtaab Sawhney have been awarded the 2024 Clay Research Fellowships. Both are completing their PhDs at the Massachusetts Institute of Technology and started their five-year fellowships on July 1, 2024.2024 Clay Research Conference and Workshops
The 2024 Clay Research Conference was held on October 2, 2024, at the Mathematical Institute, University of Oxford. The conference was accompanied by workshops from September 30 to October 4, 2024. Notable workshops include:- New Advances in the Langlands Program: Geometry and Arithmetic
- New Frontiers in Probabilistic and Extremal Combinatorics
- The P=W Conjecture in Non Abelian Hodge Theory
Awards and recognitions
Millennium Prize Problems
The institute is best known for establishing the Millennium Prize Problems on May 24, 2000. These seven problems are considered by CMI to be "important classic questions that have resisted solution over the years." For each problem, the first person to solve it will be awarded US$1,000,000 by the CMI. In announcing the prize, CMI drew a parallel to Hilbert's problems, which were proposed in 1900, and had a substantial impact on 20th century mathematics. Of the initial 23 Hilbert problems, most of which have been solved, only the Riemann hypothesis is included in the seven Millennium Prize Problems.For each problem, the Institute had a professional mathematician write up an official statement of the problem, which will be the main standard against which a given solution will be measured. The seven problems are:
- P versus NP
- The Hodge conjecture
- The Poincaré conjecture – solved, by Grigori Perelman
- The Riemann hypothesis
- Yang–Mills existence and mass gap
- Navier–Stokes existence and smoothness
- The Birch and Swinnerton-Dyer conjecture