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Grigori Perelman

Grigori Perelman is a Russian mathematician known for major work in geometric analysis, Riemannian geometry, and geometric topology.

By Ethan Anderson| Reviewed by Olivia Bennett, Standards & Fact-Checking Lead| Updated July 26, 2026|2 min read| Fact-checked

Grigori Perelman is a Russian mathematician known for major work in geometric analysis, Riemannian geometry, and geometric topology. He is best known for proving the Poincaré conjecture and for declining the Fields Medal and the Clay Millennium Prize. His work also established Thurston's geometrization conjecture.

Early life and education

Grigori Yakovlevich Perelman was born in Leningrad, USSR (now Saint Petersburg, Russia) on 13 June 1966. Biographical sources identify him as a Russian mathematician from Saint Petersburg.

Mathematical work

Perelman's research is associated with geometric analysis, Riemannian geometry, and geometric topology. He is credited with proving the Poincaré conjecture and advancing the geometrization program, which established Thurston's geometrization conjecture.

Recognition and awards

In 2006, Perelman was awarded the Fields Medal but declined it, becoming the first mathematician to do so. He also declined the Clay Mathematics Institute's Millennium Prize money for solving the Poincaré conjecture.

Public profile

Perelman became widely known for his proof of the Poincaré conjecture and for his refusal of major mathematical awards. Biographical accounts describe him as reclusive and as having left academia around 2003.

Key facts

  • Proved the Poincaré conjecture and established Thurston's geometrization conjecture.
  • Declined the Fields Medal in 2006 and the Clay Millennium Prize.
  • Known for contributions to geometric analysis, Riemannian geometry, and geometric topology.
  • Born in Leningrad in 1966 and identified as a Russian mathematician.
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Canadian context

His work is internationally significant in pure mathematics and is studied in Canadian universities and mathematical research communities, especially in geometry and topology.

Frequently asked questions

Who is Grigori Perelman?
He is a Russian mathematician known for his work in geometric analysis and for proving the Poincaré conjecture.
What is Grigori Perelman famous for?
He is most famous for proving the Poincaré conjecture and related results in Thurston's geometrization program.
Did Grigori Perelman accept the Fields Medal?
No. He declined the Fields Medal in 2006.
Did Grigori Perelman accept the Clay Prize?
No. He refused the Clay Mathematics Institute's million-dollar Millennium Prize.
Where was Grigori Perelman born?
He was born in Leningrad, USSR, now Saint Petersburg, Russia.
What fields of mathematics is he associated with?
He is associated with geometric analysis, Riemannian geometry, and geometric topology.

References

  1. Wikipedia — https://en.wikipedia.org/wiki/Grigori_Perelman
    Supports: Birth date, nationality, fields of work, and general biography.
  2. MacTutor History of Mathematics — https://mathshistory.st-andrews.ac.uk/Biographies/Perelman/
    Supports: Birthplace, biography, Poincaré conjecture, and refusal of major prizes.
  3. Encyclopaedia Britannica — https://www.britannica.com/biography/Grigori-Perelman
    Supports: Biography, Fields Medal refusal, and work on the Poincaré and geometrization conjectures.
  4. Wikipedia — https://www.wikipedia.org/wiki/Grigori_Perelman
    Supports: Background and biographical details used as cross-checking source.
  5. Wikipedia (Polish) — https://pl.wikipedia.org/wiki/Grigorij_Perelman
    Supports: Poincaré conjecture, geometrization conjecture, and prize refusals.
  6. Encyclopaedia Britannica — https://www.britannica.com/biography/Grigori-Perelman
    Supports: Declined Fields Medal and left academia around 2003.