09 October, 2006

Take the baton

Consider this another effort to elicit comment from my reticent readers. I'm looking for nominations for today's spirits kindred, for better or worse, to Évariste Galois. If you don't know his story, or don't mind a refresher, read on.

Galois was a sort of republican dauphin (if it's acceptable to say such a thing). Born in 1811 in a village south of Paris to the son of a politically involved republican, and schooled as a young child in Latin and classic texts by his mother, he became interested in mathematics as a teenager. He twice failed the test to enter the École Polytechnique, the latter occasion occurring two days after his father committed suicide following a politically charged run-in with the local priest.

Évariste also failed repeatedly to see his discoveries in the theory of polynomial equations published, the reasons for which are unclear, but he did publish three papers in 1830, laying the foundation for what came to be known as Galois Theory. The full articulation of Galois Theory, linking field theory and group theory in abstract algebra, was published posthumously – not entirely surprising, as he wrote much of its explication only two days before his untimely death.

Politically active, Galois was expelled from the school he did get into, the École Normale, for republican political agitation. He used his extra time to join the Republican Artillery Unit of the National Guard. The unit was dissolved to prevent it from destabilizing the government, with nineteen officers from the unit arrested on conspiracy to overthrow the monarchy. During the party following their acquittal, Galois toasted the king holding a dagger over his cup, and was promptly arrested – though ultimately acquitted – for threatening the king's life. He was later arrested and convicted, however, for showing up to a Bastille Day celebration armed to the teeth and wearing his old uniform.

While in jail, Galois saw another paper on the theory of equations rejected. Then his jail term ended early when he was transferred to a clinic with other prisoners as a precaution taken against a raging cholera epidemic. At the clinic, he fell madly in love with Stéphanie, daughter of Jean-Louis Poterin-Dumotel, one of the doctors. She, too, rejected him.

Within weeks Galois was fighting a duel he knew he would lose. Legend has it the duel was a royalist conspiracy to get him out of the way, but that legend's been long disregarded, and is possibly a fabrication that began with Galois himself. He stayed awake the entire night before the duel, writing his republican friends. Between scribbling "Je n'ai pas le temps" (I don't have time) over and over, and conveying other thoughts in other letters, he made clear his extraordinary mathematics in a letter to his friend Chevalier.

He was shot in the abdomen and dead the following day. His last words to his brother were: "Ne pleure pas, Alfred – j'ai besoin de tout mon courage pour mourir à vingt ans." (Don't cry, Alfred – I need all my courage to die at twenty.)

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