Claude Chabauty (May 4, 1910, in Oran – June 2, 1990, in Dieulefit) was a French mathematician.
[3] He worked on Diophantine approximation and geometry of numbers, where he used both classical and p-adic analytic methods.
[3] He introduced the Chabauty topology to generalise Mahler's compactness theorem from Euclidean lattices to more general discrete subgroups.
[4] His 1938 doctoral thesis,[5] developing ideas of Skolem,[6] 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.