About Claude Chabauty
Claude Chabauty, 80, French mathematician.
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Full Biography
|Claude Chabauty (May 4, 1910, in Oran – June 2, 1990, in Dieulefit) was a French mathematician.
Career
He was admitted in 1929 to the École normale supérieure in Paris. In 1938 he obtained his doctorate with a thesis on number theory and algebraic geometry. Subsequently he was a professor in Strasbourg. From 1954 on, and for 22 years, he was the director of the department of pure mathematics at the University of Grenoble.
Mathematical work
He worked on Diophantine approximation and geometry of numbers, where he used both classical and p-adic analytic methods. He introduced the Chabauty topology to generalise Mahler's compactness theorem from Euclidean lattices to more general discrete subgroups.
His 1938 doctoral thesis, developing ideas of Skolem, is important in algebraic geometry. According to André Weil:
In his beautiful thesis, Chabauty ..., following ideas of Skolem ..., has shown how the method of p-adic completion, with respect to a more or less arbitrary prime p, can yield deep results about varieties over an algebraic number-field; there, as already in Skolem's work, the problem concerns the intersection of an algebraic variety and of a multiplicative group; by p-adic completion, the latter becomes an algebroid variety defined by linear differential equations.
Notes and references
Content from Wikipedia — licensed under CC BY-SA 3.0
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Sources
- Wikipedia
- https://en.wikipedia.org/wiki/Claude_Chabauty
- CC BY-SA 4.0
- Sep 26, 2026
- View article
- Sep 26, 2026
Trivia & Knowledge· 15 questions
Questions drawn from Claude Chabauty's archived record and the sources above.
1.On what date was Claude Chabauty born?
- A.May 4, 1929
- B.June 2, 1990
- C.May 4, 1910correct
- D.June 2, 1938
Claude Chabauty was born on May 4, 1910.
Source: biographical introduction
2.In what city was Claude Chabauty born?
- A.Strasbourg
- B.Grenoble
- C.Orancorrect
- D.Paris
Claude Chabauty was born in Oran.
Source: biographical introduction
3.In what city did Claude Chabauty die?
- A.Oran
- B.Paris
- C.Grenoble
- D.Dieulefitcorrect
Claude Chabauty died in Dieulefit on June 2, 1990.
Source: biographical introduction
4.In what year was Claude Chabauty admitted to the École normale supérieure?
- A.1938
- B.1910
- C.1929correct
- D.1954
Claude Chabauty was admitted to the École normale supérieure in 1929.
Source: career section
5.In what year did Claude Chabauty obtain his doctorate?
- A.1910
- B.1938correct
- C.1954
- D.1929
Claude Chabauty obtained his doctorate in 1938.
Source: career section
6.What was the subject of Claude Chabauty's 1938 doctoral thesis?
- A.Geometry of numbers
- B.Euclidean lattices
- C.Diophantine approximation
- D.Number theory and algebraic geometrycorrect
Claude Chabauty obtained his doctorate with a thesis on number theory and algebraic geometry.
Source: career section
7.Where did Claude Chabauty serve as a professor after obtaining his doctorate?
- A.Dieulefit
- B.Paris
- C.Strasbourgcorrect
- D.Oran
After obtaining his doctorate, Claude Chabauty was a professor in Strasbourg.
Source: career section
8.For how many years was Claude Chabauty the director of the department of pure mathematics at the University of Grenoble?
- A.10 years
- B.38 years
- C.22 yearscorrect
- D.15 years
Starting in 1954, Claude Chabauty served as the director of the department of pure mathematics at the University of Grenoble for 22 years.
Source: career section
9.What mathematical fields did Claude Chabauty work on?
- A.Number theory and Euclidean geometry
- B.Applied mathematics and physics
- C.Diophantine approximation and geometry of numberscorrect
- D.Algebraic topology and analysis
Claude Chabauty worked on Diophantine approximation and the geometry of numbers.
Source: mathematical work section
10.What kind of methods did Claude Chabauty use in his mathematical work?
- A.Only classical methods
- B.Only p-adic analytic methods
- C.Classical and p-adic analytic methodscorrect
- D.Numerical and computer-based methods
Claude Chabauty used both classical and p-adic analytic methods in his work.
Source: mathematical work section
11.What did Claude Chabauty introduce to generalise Mahler's compactness theorem?
- A.The p-adic analytic variety
- B.The algebraic number-field theorem
- C.The Chabauty topologycorrect
- D.The Skolem intersection method
Claude Chabauty introduced the Chabauty topology to generalise Mahler's compactness theorem.
Source: mathematical work section
12.Whose ideas did Claude Chabauty develop in his doctoral thesis?
- A.Euclid
- B.Skolemcorrect
- C.Mahler
- D.André Weil
Claude Chabauty's 1938 doctoral thesis developed ideas of Skolem.
Source: mathematical work section
13.Who provided a commentary on the thesis written by Claude Chabauty?
- A.Skolem
- B.The University of Grenoble
- C.Mahler
- D.André Weilcorrect
André Weil provided a description of the importance of the thesis written by Claude Chabauty.
Source: mathematical work section
14.How old was Claude Chabauty when the biography was written?
- A.90
- B.70
- C.80correct
- D.60
Claude Chabauty was 80 years old.
Source: biographical introduction
15.What became of the multiplicative group through the use of p-adic completion in Claude Chabauty's work?
- A.A Euclidean lattice defined by Skolem's ideas
- B.A compact set defined by the Chabauty topology
- C.An algebraic number-field defined by Diophantine approximation
- D.An algebroid variety defined by linear differential equationscorrect
By p-adic completion, the multiplicative group becomes an algebroid variety defined by linear differential equations.
Source: mathematical work section
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