Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

Galois was to mathematics what Arthur Rimbaud, a generation later, was to poetry. He was born in a small town south of Paris in 1811. His family were highly political, though it was a time in French ...

Évariste Galois, the father of group theory, died young in a duel believed to be over a woman, sparking ongoing historical intrigue. On the morning of May 30, 1832, an unidentified man found Évariste ...

The equation in the title is the quintic equation, the mathematical genius is Évariste Galois (1811–32), and the language of symmetry he discovered is group theory. Symmetry combines both beauty and ...

$\bullet$ Arithmetic algebraic geometry, in particular the Langlands programme. $\bullet$ $p$-adic Hodge theory and $p$-adic Galois representations. $\bullet ...