Alexander Grothendieck
A mathematical visionary who rebuilt the foundations of geometry from the ground up, then walked away from the academic world he transformed.
1928–2014 (age 86)·French mathematician·Birthday: March 28·The Silent Generation
Biography
Alexander Grothendieck was a force of nature in mathematics, a thinker of such staggering depth that he reshaped entire landscapes of thought. Born in Berlin to anarchist parents, he survived the Holocaust in hiding, an experience that perhaps fueled his later search for unifying principles. In the 1950s and 60s, he led a revolution in algebraic geometry. Dissatisfied with patching old theories, he conceived sweeping new frameworks—schemes, topoi, motives—that recast problems in profoundly abstract yet powerful ways. His work at the Institut des Hautes Études Scientifiques was legendary, collaborative, and intensely demanding. Then, at the peak of his influence, he broke with the establishment. He renounced his positions, retreated from public life, and lived in seclusion, driven by deep ecological and pacifist convictions. Grothendieck left behind a blueprint for modern mathematics and the enduring mystery of his radical departure.
The Silent Generation
1928–1945
Born between the Depression and the end of WWII. Too young to fight, old enough to remember. They became the conformist middle managers of the 1950s — and the civil rights leaders who quietly dismantled Jim Crow.
Alexander was born in 1928, placing them squarely in The Silent Generation. The events that shaped this generation — world wars, depression, and rapid industrialization — shaped the world they entered and the choices available to them.
#1 When Alexander Was Born
The biggest hits of 1928
#1 Movie
The Singing Fool
Best Picture
Wings
Alexander's Life & Times
The world at every milestone
1928Born
Alexander Fleming discovers penicillin; Mickey Mouse debuts
President: Calvin Coolidge"Ol' Man River" — Paul WhitemanBest Picture: Wings
1933Started school
FDR's New Deal launches; Prohibition ends
Gas: $0.18/galPresident: Franklin D. Roosevelt"Stormy Weather" — Ethel WatersBest Picture: Cavalcade
1941Became a teenager
Pearl Harbor attack brings the US into WWII
Gas: $0.19/galHome: $3,060Min wage: $0.30/hrPresident: Franklin D. Roosevelt"Chattanooga Choo Choo" — Glenn MillerBest Picture: How Green Was My Valley
1944Could drive
D-Day: Allied forces land at Normandy
Gas: $0.21/galHome: $3,400Min wage: $0.30/hrPresident: Franklin D. Roosevelt"Swinging on a Star" — Bing CrosbyBest Picture: Going My Way
1946Could vote
United Nations holds its first General Assembly
Gas: $0.21/galHome: $5,150Min wage: $0.40/hrPresident: Harry S. Truman"Prisoner of Love" — Perry ComoBest Picture: The Best Years of Our Lives
1949Turned 21
NATO founded; Mao proclaims the People's Republic of China
Gas: $0.27/galHome: $7,450Min wage: $0.40/hrPresident: Harry S. Truman"Riders in the Sky" — Vaughn MonroeBest Picture: All the King's Men
1958Turned 30
NASA founded
Gas: $0.31/galHome: $11,050Min wage: $1.00/hrPresident: Dwight D. Eisenhower"Volare" — Domenico ModugnoBest Picture: Gigi
1968Turned 40
Martin Luther King Jr. and Robert Kennedy assassinated
Gas: $0.34/galHome: $14,950Min wage: $1.60/hrPresident: Lyndon B. Johnson"Hey Jude" — The BeatlesBest Picture: Oliver!
1978Turned 50
First test-tube baby born
Gas: $0.63/galHome: $35,300Min wage: $2.65/hrPresident: Jimmy Carter"Shadow Dancing" — Andy GibbBest Picture: The Deer Hunter
1988Turned 60
Pan Am Flight 103 bombed over Lockerbie
Gas: $0.90/galHome: $74,800Min wage: $3.35/hrPresident: Ronald Reagan"Faith" — George MichaelBest Picture: Rain Man
1998Turned 70
Google founded; Clinton impeachment
Gas: $1.06/galHome: $107,300Min wage: $5.15/hrPresident: Bill Clinton"Too Close" — NextBest Picture: Shakespeare in Love
2008Turned 80
Barack Obama elected first Black US president; financial crisis
Gas: $3.27/galHome: $153,100Min wage: $6.55/hrPresident: George W. Bush"Low" — Flo RidaBest Picture: Slumdog Millionaire
2014Died at 86
Russia annexes Crimea; Ebola outbreak in West Africa
Gas: $3.37/galHome: $160,700Min wage: $7.25/hrPresident: Barack Obama"Happy" — Pharrell WilliamsBest Picture: Birdman
Key Achievements
- Revolutionized algebraic geometry by introducing the theory of schemes, which generalized algebraic varieties.
- Founded the influential Bourbaki seminar and wrote the foundational text 'Éléments de géométrie algébrique' (EGA).
- Developed étale cohomology with Michael Artin, which provided key tools for solving the Weil conjectures.
- Launched the vast research program of studying motives, a unifying concept intended to underlie various cohomology theories.
- Was awarded the Fields Medal in 1966 for his advances in algebraic geometry and homological algebra.
Did You Know?
He refused the Fields Medal in 1966, not attending the ceremony in Moscow for political reasons.
He left mathematics in 1970, declining a prestigious chair at the Collège de France, and later lived as a recluse in the Pyrenees.
His father was a Russian anarchist of Jewish descent who was murdered in Auschwitz.
He wrote over 20,000 pages of mathematical and philosophical manuscripts during his seclusion, known as the 'Grothendieck Circle'.
He turned down the Crafoord Prize in 1988, stating that his salary as a professor was sufficient and the scientific community had lost its ethical standards.
“The richness of life reveals itself through a wealth of gestures, and it is the forgetting of this obvious fact that makes us confuse the star with the astronomer.”
