Grigori Perelman

Grigori Perelman - Mathematicians, Facts and Family

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Grigori Perelman's Personal Details

Grigori Perelman is a Russian mathematician who is best known for his contributions to Riemannian geometry and geometric topology

InformationDetail
BirthdayJune 13, 1966
NationalityRussian
FamousScientists, Mathematicians
SiblingsElena Perelman
Known asGrigori Yakovlevich Perelman
Universities
  • Saint Petersburg State University
Birth PlaceSaint Petersburg, Russia
ReligionAtheism
GenderMale
FatherYakov Perelman
MotherLubov Lvovna
Sun SignGemini
Born inSaint Petersburg, Russia
Famous asMathematician

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Grigori Perelman's photo

Who is Grigori Perelman?

Grigori Perelman is a Russian mathematician who is best known for his contributions to Riemannian geometry and geometric topology. He made a breakthrough in solving the soul conjecture and later Thurston's geometrization conjecture, providing proof of the Poincaré conjecture. However, perhaps due to the early negative experiences he had to go through as a Jewish person in the Soviet Union, he became increasingly reclusive during most of his adult life. He even renounced many prestigious awards that he received for his invaluable work in the field of mathematics because he was “not interested in money or fame” and did not “want to be on display like an animal in a zoo”. In 2006, he declined the ‘Fields Medal’ and in 2010, he refused to take the ‘Millennium Prize’, as well as the accompanying one million dollars prize money. For the latter, he believed that he should have shared the honor with Richard S. Hamilton, the mathematician who pioneered a research program in the Ricci flow that eventually led to his work. Throughout his life, he was in “disagreement with the organized mathematical community”, and is now thought to have retired from mathematics.

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Childhood & Early Life

Grigori ‘Grisha’ Yakovlevich Perelman was born on June 13, 1966 in Leningrad, Soviet Union (now Saint Petersburg, Russia) to Yakov Perelman and Lubov Lvovna. His father was an electrical engineer and his mother was a teacher of mathematics at a technical college.

He was born to Russian-Jewish parents at a time when Soviet distrust of Jews was strong, and his overtly Jewish surname made him suffer anti-Semitism throughout his life. His father later moved to Israel and his mother left graduate work in mathematics to raise him and his younger sister Elena, who also became a mathematician later.

His father, who was very proud of him, used to encourage him to solve brain teasers and math problems when he was a child, and taught him to play chess. His mother also contributed to his interest in mathematics, and also taught him to play the violin.

By the time he was ten, his talent in mathematics became obvious after he participated in district mathematics competitions. To help develop his talents further, his mother enrolled him into an elite math coaching club run by Sergei Rukshin, a 19-year-old mathematics undergraduate at Leningrad University.

With Rukshin’s help, he also improved his English and entered Leningrad's Special Mathematics and Physics School Number 239 in September 1980. In 1982, he was selected into Soviet Union’s International Mathematical Olympiad team, where he earned a gold medal and secured a direct entry into School of Mathematics and Mechanics at the Leningrad State University.

Contributions in Mathematics

During his undergraduate year, Grigori Perelman began assisting his former tutor Sergei Rukshin at his summer camps. However, he had to stop eventually as his incredibly high standards were no match for even the best students.

By the time he graduated from university in 1987, he had already published a bunch of papers on various mathematical theories. These included ‘Realization of abstract k-skeletons as k-skeletons of intersections of convex polyhedra in R2k-1’, ‘A remark on Helly's theorem’, a supplement to A D Aleksandrov's ‘On the foundations of geometry’, and ‘On the k-radii of a convex body’.

Despite his remarkable achievements in the undergraduate level, he found it difficult to get into the Leningrad Department of Steklov Institute of Mathematics because the institute did not accept Jews following an old policy. In 1990, a letter from Aleksandr Danilovic Aleksandrov to the director of the institute allowed him to pursue his graduate work there, even though under Yuri Burago instead of Aleksandrov himself.

He had already published the results of his thesis ‘An example of a complete saddle surface in R4 with Gaussian curvature bounded away from zero’ in 1989. The following year, he defended his thesis ‘Saddle Surfaces in Euclidean Spaces’.

With Burago’s efforts, he was invited into the Institut des Hautes Études Scientifiques near Paris by Mikhael Leonidovich Gromov with whom he worked on Aleksandrov's spaces. In 1992, he published his first major paper, ‘A D Aleksandrov spaces with curvatures bounded below’ in collaboration with Burago and Gromov.

He briefly returned to St Petersburg, but on Gromov’s recommendation, he obtained research positions at several universities in the United States. In 1992, he started working on manifolds with lower bounds on Ricci curvature during his stay at the Courant Institute in New York University and Stony Brook University for one semester each.

In 1993, he took two-year-long Miller Research Fellowship at the University of California, Berkeley and published papers like ‘Elements of Morse theory on Aleksandrov spaces’ and ‘Manifolds of positive Ricci curvature with almost maximal volume’. However, his biggest achievement was to answer in his paper ‘Proof of the soul conjecture of Cheeger and Gromoll’ a question asked by the mathematicians twenty years earlier.

In 1994, he was invited to address the International Congress of Mathematicians in Zürich and was offered jobs at top US universities including Princeton and Stanford. However, he returned to the Steklov Institute in Saint Petersburg in 1995 and took up a research-only position.

He initially published his paper ‘The Entropy Formula for the Ricci Flow and Its Geometric Applications’ in November 2002, but did not claim to have solved the Poincaré Conjecture. As experts hailed his paper as a breakthrough on the subject, he published a second paper, ‘Ricci flow with surgery on three-manifolds’, in which he modified Richard S. Hamilton's program to prove the conjecture.

Major Works

Grigori Perelman proved the soul conjecture in 1994 and Thurston's geometrization conjecture in 2003 (confirmed in 2006). He is best known for his work in comparison theorems in Riemannian geometry and for proving the Poincaré conjecture.

Awards & Achievements

In 1982, Grigori Perelman achieved a perfect score and won a gold medal in the International Mathematical Olympiad as part of the Soviet Union team. In 1991, he received the ‘Young Mathematician Prize’ of the Saint Petersburg Mathematical Society for his work on Aleksandrov's spaces of curvature bounded from below.

He turned down an award offered to him by the European Congress of Mathematicians in 1996. Ten years later, in 2006, he also declined the ‘Fields’ Medal, which is equivalent to ‘Noble Prize’ in the field of mathematics, stating that he was “not interested in money or fame”.

For solving of the Poincaré conjecture, he was announced to be the winner of the he first Clay ‘Millennium Prize’ on March 18, 2010. However, this time he turned down the award because he considered the decision unfair as his achievement was no greater than that of Richard S. Hamilton, the mathematician whose model he followed.

Personal Life & Legacy

According to media reports in 2010, Grigori Perelman lives with his elderly mother in a 2-bedroom flat in St. Petersburg despite owning his own studio flat. The family is sustained by his mother’s modest pension and the money sent by his sister who lives in Sweden.

Trivia

Grigori Perelman is believed to have retired from mathematics as his neighbours maintain that he now spends time playing table tennis against the wall, and is only seen while purchasing grocery from the nearby store.

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Grigori Perelman's awards

YearNameAward

Other

0Fields Medal

Grigori Perelman biography timelines

  • // 13th Jun 1966
    Grigori ‘Grisha’ Yakovlevich Perelman was born on June 13, 1966 in Leningrad, Soviet Union (now Saint Petersburg, Russia) to Yakov Perelman and Lubov Lvovna. His father was an electrical engineer and his mother was a teacher of mathematics at a technical college.
  • // Sep 1980 To 1982
    With Rukshin’s help, he also improved his English and entered Leningrad's Special Mathematics and Physics School Number 239 in September 1980. In 1982, he was selected into Soviet Union’s International Mathematical Olympiad team, where he earned a gold medal and secured a direct entry into School of Mathematics and Mechanics at the Leningrad State University.
  • // 1982 To 1991
    In 1982, Grigori Perelman achieved a perfect score and won a gold medal in the International Mathematical Olympiad as part of the Soviet Union team. In 1991, he received the ‘Young Mathematician Prize’ of the Saint Petersburg Mathematical Society for his work on Aleksandrov's spaces of curvature bounded from below.
  • // 1987
    By the time he graduated from university in 1987, he had already published a bunch of papers on various mathematical theories. These included ‘Realization of abstract k-skeletons as k-skeletons of intersections of convex polyhedra in R2k-1’, ‘A remark on Helly's theorem’, a supplement to A D Aleksandrov's ‘On the foundations of geometry’, and ‘On the k-radii of a convex body’.
  • // 1989
    He had already published the results of his thesis ‘An example of a complete saddle surface in R4 with Gaussian curvature bounded away from zero’ in 1989. The following year, he defended his thesis ‘Saddle Surfaces in Euclidean Spaces’.
  • // 1990
    Despite his remarkable achievements in the undergraduate level, he found it difficult to get into the Leningrad Department of Steklov Institute of Mathematics because the institute did not accept Jews following an old policy. In 1990, a letter from Aleksandr Danilovic Aleksandrov to the director of the institute allowed him to pursue his graduate work there, even though under Yuri Burago instead of Aleksandrov himself.
  • // 1992
    With Burago’s efforts, he was invited into the Institut des Hautes Études Scientifiques near Paris by Mikhael Leonidovich Gromov with whom he worked on Aleksandrov's spaces. In 1992, he published his first major paper, ‘A D Aleksandrov spaces with curvatures bounded below’ in collaboration with Burago and Gromov.
  • // 1992
    He briefly returned to St Petersburg, but on Gromov’s recommendation, he obtained research positions at several universities in the United States. In 1992, he started working on manifolds with lower bounds on Ricci curvature during his stay at the Courant Institute in New York University and Stony Brook University for one semester each.
  • // 1993
    In 1993, he took two-year-long Miller Research Fellowship at the University of California, Berkeley and published papers like ‘Elements of Morse theory on Aleksandrov spaces’ and ‘Manifolds of positive Ricci curvature with almost maximal volume’. However, his biggest achievement was to answer in his paper ‘Proof of the soul conjecture of Cheeger and Gromoll’ a question asked by the mathematicians twenty years earlier.
  • // 1994 To 1995
    In 1994, he was invited to address the International Congress of Mathematicians in Zürich and was offered jobs at top US universities including Princeton and Stanford. However, he returned to the Steklov Institute in Saint Petersburg in 1995 and took up a research-only position.
  • // 1996 To 2006
    He turned down an award offered to him by the European Congress of Mathematicians in 1996. Ten years later, in 2006, he also declined the ‘Fields’ Medal, which is equivalent to ‘Noble Prize’ in the field of mathematics, stating that he was “not interested in money or fame”.
  • // Nov 2002
    He initially published his paper ‘The Entropy Formula for the Ricci Flow and Its Geometric Applications’ in November 2002, but did not claim to have solved the Poincaré Conjecture. As experts hailed his paper as a breakthrough on the subject, he published a second paper, ‘Ricci flow with surgery on three-manifolds’, in which he modified Richard S. Hamilton's program to prove the conjecture.
  • // 2010
    According to media reports in 2010, Grigori Perelman lives with his elderly mother in a 2-bedroom flat in St. Petersburg despite owning his own studio flat. The family is sustained by his mother’s modest pension and the money sent by his sister who lives in Sweden.
  • // 18th Mar 2010
    For solving of the Poincaré conjecture, he was announced to be the winner of the he first Clay ‘Millennium Prize’ on March 18, 2010. However, this time he turned down the award because he considered the decision unfair as his achievement was no greater than that of Richard S. Hamilton, the mathematician whose model he followed.

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Grigori Perelman's FAQ

  • What is Grigori Perelman birthday?

    Grigori Perelman was born at 1966-06-13

  • Where is Grigori Perelman's birth place?

    Grigori Perelman was born in Saint Petersburg, Russia

  • What is Grigori Perelman nationalities?

    Grigori Perelman's nationalities is Russian

  • Who is Grigori Perelman siblings?

    Grigori Perelman's siblings is Elena Perelman

  • What was Grigori Perelman universities?

    Grigori Perelman studied at Saint Petersburg State University

  • What is Grigori Perelman's religion?

    Grigori Perelman's religion is Atheism

  • Who is Grigori Perelman's father?

    Grigori Perelman's father is Yakov Perelman

  • Who is Grigori Perelman's mother?

    Grigori Perelman's mother is Lubov Lvovna

  • What is Grigori Perelman's sun sign?

    Grigori Perelman is Gemini

  • How famous is Grigori Perelman?

    Grigori Perelman is famouse as Mathematician