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Armand Borel was born on 21 May, 1923 in La Chaux-de-Fonds, Switzerland, is a Swiss mathematician. Discover Armand Borel's Biography, Age, Height, Physical Stats, Dating/Affairs, Family and career updates. Learn How rich is he in this year and how he spends money? Also learn how he earned most of networth at the age of 80 years old?

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Age 80 years old
Zodiac Sign Taurus
Born 21 May, 1923
Birthday 21 May
Birthplace La Chaux-de-Fonds, Switzerland
Date of death 11 August, 2003
Died Place Princeton, New Jersey, United States
Nationality Switzerland

We recommend you to check the complete list of Famous People born on 21 May. He is a member of famous mathematician with the age 80 years old group.

Armand Borel Height, Weight & Measurements

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Armand Borel Net Worth

His net worth has been growing significantly in 2023-2024. So, how much is Armand Borel worth at the age of 80 years old? Armand Borel’s income source is mostly from being a successful mathematician. He is from Switzerland. We have estimated Armand Borel's net worth, money, salary, income, and assets.

Net Worth in 2024 $1 Million - $5 Million
Salary in 2024 Under Review
Net Worth in 2023 Pending
Salary in 2023 Under Review
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Source of Income mathematician

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Timeline

1923

Armand Borel (21 May 1923 – 11 August 2003) was a Swiss mathematician, born in La Chaux-de-Fonds, and was a permanent professor at the Institute for Advanced Study in Princeton, New Jersey, United States from 1957 to 1993.

He worked in algebraic topology, in the theory of Lie groups, and was one of the creators of the contemporary theory of linear algebraic groups.

He studied at the ETH Zürich, where he came under the influence of the topologist Heinz Hopf and Lie-group theorist Eduard Stiefel.

1949

He was in Paris from 1949: he applied the Leray spectral sequence to the topology of Lie groups and their classifying spaces, under the influence of Jean Leray and Henri Cartan.

1950

With Hirzebruch, he significantly developed the theory of characteristic classes in the early 1950s.

He collaborated with Jacques Tits in fundamental work on algebraic groups, and with Harish-Chandra on their arithmetic subgroups.

In an algebraic group G a Borel subgroup H is one minimal with respect to the property that the homogeneous space G/H is a projective variety.

For example, if G is GLn then we can take H to be the subgroup of upper triangular matrices.

In this case it turns out that H is a maximal solvable subgroup, and that the parabolic subgroups P between H and G have a combinatorial structure (in this case the homogeneous spaces G/P are the various flag manifolds).

Both those aspects generalize, and play a central role in the theory.

The Borel−Moore homology theory applies to general locally compact spaces, and is closely related to sheaf theory.

He published a number of books, including a work on the history of Lie groups.

1978

In 1978 he received the Brouwer Medal and in 1992 he was awarded the Balzan Prize "For his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favour of high quality in mathematical research and the propagation of new ideas" (motivation of the Balzan General Prize Committee).

He was a member of the American Academy of Arts and Sciences, the United States National Academy of Sciences, and the American Philosophical Society.

He died in Princeton.

He used to answer the question of whether he was related to Émile Borel alternately by saying he was a nephew, and no relation.

"I feel that what mathematics needs least are pundits who issue prescriptions or guidelines for presumably less enlightened mortals."

(Oeuvres IV, p. 452)