Mathematician:Grigori Yakovlevich Perelman

Mathematician

Russian mathematician famous for solving Thurston's Geometrization Conjecture, and hence completing the proof of the Poincaré Conjecture.

Fields Medal

Grigori Yakovlevich Perelman was awarded a Fields Medal in $\text {2006}$ at the International Congress of Mathematicians in Madrid, Spain:

For his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the Ricci flow.

Nationality

Russian

History

• Born: 13 June 1966 in Leningrad, USSR (now St. Petersburg, Russia)

Theorems and Definitions

• Proved Thurston's Geometrization Conjecture.

Publications

• 1990: Седловые поверхности в евклидовых пространствах:Автореф. дис. на соиск. учен. степ. канд. физ.-мат. наук. Ленинградский Государственный Университет. (Ph.D. dissertation)
• 1992: Aleksandrov spaces with curvatures bounded below (with Yu. Burago and M. Gromov)
• 1993: Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers
• 1994: Proof of the soul conjecture of Cheeger and Gromoll
• 1994: Elements of Morse theory on Aleksandrov spaces
• 1994: Extremal subsets in Alexandrov spaces and the generalized Liberman theorem (with A.M. Petrunin)
• 11 November 2002: The entropy formula for the Ricci flow and its geometric applications
• 10 March 2003: Ricci flow with surgery on three-manifolds
• 17 July 2003: Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Also known as

In Russian: Григорий Яковлевич Перельман.

Usually known by his diminutive Grisha.