French mathematician (1811-1832)
Galois cracked a 350-year-old math problem as a teenager, then died in a duel at 20. His work on polynomial equations accidentally invented two entire fields of abstract algebra.
Évariste Galois was a French mathematician and political activist. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a problem that had been open for 350 years. His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra.
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