2006 Fields Medals, Nevanlinna Prize, and Gauss Prize Awardedat ICM2006 in Madrid

Citation: "for his contributions bridging probability, representation theory and algebraic geometry"

IMU news release about the work of Andrei Okounkov

For more information:

• "What is a Dimer?", by Richard Kenyon and Andrei Okounkov, Notices of the AMS, March 2005
  
• European Mathematical Society Prizes 2004

Citation: "for his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the Ricci flow"

(Note: IMU president John Ball announced at the opening ceremony that Perelman had turned down the Fields Medal.)

IMU news release about the work of Grigory Perelman

For more information:

• "Conjectures No More?: Consensus Forming on the Proof of the Poincaré and Geometrization Conjectures", by Allyn Jackson, Notices of the AMS, September 2006
• Geometrization of 3-Manifolds via the Ricci Flow", by Michael Anderson, Notices of the AMS, February 2004
• "Towards the Poincaré Conjecture and the Classification of 3-Manifolds", by John Milnor, Notices of the AMS, November 2003
• "Recent progress on the Poincaré conjecture and the classification of 3-manifolds, " by John W. Morgan, Bulletin of the AMS, 42 (2005) 57-78.

Citation: "for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory"

IMU news release about the work of Terence Tao

For more information:

• Home page of Terence Tao
  
• 2005 Conant Prize (jointly awarded to Terence Tao and Allen Knutson), Notices of the AMS, April 2005
  
• 2002 Bôcher Prize, Notices of the AMS, April 2002
  
• "From Rotating Needles to Stability of Waves: Emerging Connections between Combinatorics, Analysis, and PDE", by Terence Tao, Notices of the AMS, March 2001
  
• "Honeycombs and Sums of Hermitian Matrices", by Allen Knutson and Terence Tao, Notices of the AMS, February 2001.

Citation: "for his contributions to the development of stochastic Loewner evolution, the geometry of two-dimensional Brownian motion, and conformal field theory"

IMU news release about the work of Wendelin Werner

For more information:

• Home page of Wendelin Werner
  
• "What is percolation?", by Harry Kesten, Notices of the AMS, May 2006
  
• Gregory F. Lawler, Oded Schramm and Wendelin Werner receive George Polya Prize in Boston
  
• European Mathematical Society Prizes 2000
  
• 2001 Fermat Prize
  
• Werner Awarded 2005 Loeve Prize

IMU news release about the work of Jon Kleinberg

For more information:

• Jon Kleinberg's home page
  
• Kleinberg Receives 2005 MacArthur "genius" Fellowship
  
• Interview with Kleinberg in Technology Review magazine.

IMU news release about the work of Kiyoshi Itô

For more information:

• "Kiyoshi Itô Receives Kyoto Prize", Notices of the AMS, September 1998
  
• Biography of Kiyoshi Itô
  
• Kiyoshi Itô Awarded the 1987 Wolf Foundation Prize in Mathematics