Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Video Catalogue

2021 Clay Research Conference

CMI-HIMR Integrable Probability Summer School 2020

Hugo Duminil-Copin, One the free energy of the six-vertex model
Talk 1, July 27, 2020
Talk 2, July 29, 2020
Talk 3, July 31, 2020

Rick Kenyon, Limit shapes and variational principles
Talk 1, July 29, 2020
Talk 2, July 30, 2020
Talk 3, July 31, 2020

Greta Panova, Talk 1: Algebraic combinatorics basics; Talk 2 and 3: Algebraic combinatorics meets probability: statistical mechanics and asymptotics
Talk 1, July 28, 2020
Talk 2, July 30, 2020
Talk 3, July 31, 2020

Fabio Toninelli, (2+1)-dimensional growth models and the AKPZ universality class
Talk 1, July 27, 2020
Talk 2, July 28, 2020
Talk 3, July 29, 2020

Michael Wheeler, An invitation to the q-Whittaker polynomials
Talk 1, July 28, 2020
Talk 2, July 29, 2020
Talk 3, July 30, 2020

Friday Seminars

2019 Clay Research Conference

Clay Lectures

CMI at 20 (2018)

On September 24-26, 2018 CMI held a 20th anniversary conference to celebrate its many contributions to the international mathematcal comminity.  CMI at 20  highlighted the outstanding achievements of its research fellows, award winners, and others whom it has supported.

2017 Clay Research Conference

PROMYS Europe 2016

2016 Clay Research Conference

​2015 Clay Research Conference

2015 AMS Summer Institute in Algebraic Geometry

2014 Clay Research Conference

2013 Clay Research Conference

2012 Clay Research Conference

2011 Clay Research Conference

2010 Clay Research Conference

The topic of the 2010 Clay Research Conference was Grigoriy Perelman's proof of the Poincaré conjecture and Thurston's Geometrization conjecture. Perelman's proof, which appeared in a series of three preprints posted on ArXiv.org in 2002 and 2003, is based on Riemannian geometry and Hamilton's theory of Ricci flow. For that work he was awarded the first Clay Millennium Prize.

2009 Clay Research Conference

On May 4-5, the Clay Mathematics Institute held its 2009 Clay Research Conference in Harvard Science Center, Lecture Hall E. 

2008 Clay Research Conference

On May 12-13, at MIT, the Clay Mathematics Institute held its 2008 Clay Research Conference.  The conference was hosted by the MIT Mathematics Department.

2007 Clay Research Conference

  • Peter Ozsvath
    Holomorphic disks and knot invariants
  • William Thurston
    What is the future for 3-dimensional geometry and topology?
  • Shigefumi Mori
    Recent progress in higher dimensional algebraic geometry I
  • Shigefumi Mori for Alessio Corti
    Recent progress in higher dimensional algebraic geometry II
  • Mark Kisin
    Modularity of 2-dimensional Galois representations
  • Richard Taylor
    The Sato-Tate conjecture
  • Curtis McMullen
    Algebraic dynamics on surfaces
  • Alex Eskin
    Dynamics of rational billiards
  • David Fisher
    Coarse differentiation and quasi-isometries of solvable groups

Public Lectures

2004 Annual Meeting

2002 Annual Meeting

2001 Annual Meeting

  • On July 13, 2001 the Clay Mathematics Institute organized the closing ceremonies of the International Mathematics Olympiad in Washington, DC, and incorporated this event into its 2001 Annual Meeting. The events brought approximately five hundred of the world's best high school mathematics students in contact with a cross-section of the world's best research mathematicians, including Edward Witten, Andrew Wiles, and Arthur Jaffe. The meeting of the Clay Mathematics Institute took place at the John F. Kennedy Center for the Performing Arts at 2:00 PM on July 13. This ceremony included the presentation of the Clay Research Awards and two inspirational talks by CMI Scientific Advisory Board members Andrew Wiles and Edward Witten. Following the ceremony at the Kennedy Center was a reception and dinner at the National Building Museum in Washington, DC. The dinner involved almost eleven hundred guests, and included talks by Alfred R. Berkeley, III, Chairman of NASDAQ, and Rita Colwell, Director of the National Science Foundation, as well as other forms of entertainment including a live performance by Christopher Thompson, accompanied by Milton Granger, of an excerpt fromFermat's Last Tango.
  • Talk by Andrew Wiles
  • Talk by Edward Witten​​​​​​​

Millennium Meeting

  • These videos document the Institute's landmark Paris millennium event which took place on May 24-25, 2000, at the Collège de France. On this occasion, CMI unveiled the "Millennium Prize Problems," seven mathematical quandaries that have long resisted solution. The announcement in Paris honored the 100-year anniversary of David Hilbert's apress of 1900 to the International Congress of Mathematicians in Paris, in which he outlined 23 mathematics problems that set the tone for much 20th century mathematical research. 
  • The Millennium Prize Problems I
    John Tate,  Riemann hypothesis, Birch and Swinnerton-Dyer Conjecture, P vs NP
  • The Millennium Prize Problems II
    Michael Atiyah, Poincaré conjecture, Hodge conjecture, Quantum Yang-Mills problem, Navier-Stokes problem
  • The Importance of Mathematics | HR Version
    Timothy Gowers
  • The Millennium Meeting​​​​​​​

2001 University of Texas Lectures on the Millennium Problems