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Evariste Galois (1811-1832). Caricature of the French mathematician Evariste Galois. While still in his teens, Galois was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a long-standing problem. His work laid the foundations for Galois theory, a major branch of abstract algebra, and the subfield of Galois connections. He was the first to use the word group as a technical term in mathematics to represent a group of permutations. As a teenager Galois was constantly failing exams and fighting with teachers, was imprisoned for threatening the king's life and finally died of wounds suffered while duelling over a harlot.

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