Évariste Galois (/ɡælˈwɑː/;[1] French: [evaʁist ɡalwa]; 25 October 1811 – 31 May 1832) 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 standing for 350 years. His work laid the foundations for Galois theory and group theory,[2] two major branches of abstract algebra, and the subfield of Galois connections. He died at age 20 from wounds suffered in a duel.[3]

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