Galois (Évariste Galois)

Évariste Galois was a 19th-century mathematician who revolutionized algebra by developing Galois theory. This framework explains how solutions to polynomial equations relate to symmetrical properties called groups. Specifically, Galois theory helps determine whether a polynomial can be solved with formulas like radicals and describes the structure of its solutions. His work connected algebraic equations to group theory, providing deep insights into their solvability and symmetries. Despite dying young at 20, Galois' ideas laid the groundwork for modern algebra and continue to influence mathematics today.