33 Facts About Alexander Grothendieck

1.

Alexander Grothendieck was a stateless and then French mathematician who became the leading figure in the creation of modern algebraic geometry.

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2.

Alexander Grothendieck'sresearch extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory, and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.

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3.

Alexander Grothendieck began his productive and public career as a mathematician in 1949.

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4.

Alexander Grothendieck lived with his parents in Berlin until the end of 1933, when his father moved to Paris to evade Nazism.

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5.

Alexander Grothendieck was left in the care of Wilhelm Heydorn, a Lutheran pastor and teacher in Hamburg.

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6.

Alexander Grothendieck'sfather was arrested under the Vichy anti-Jewish legislation, and sent to the Drancy internment camp, and then handed over by the French Vichy government to the Germans to be sent to be murdered at the Auschwitz concentration camp in 1942.

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7.

In Le Chambon, Alexander Grothendieck attended the College Cevenol, a unique secondary school founded in 1938 by local Protestant pacifists and anti-war activists.

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8.

Alexander Grothendieck introduced new mathematical methods that enabled him to solve all of these problems within a few months.

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9.

Alexander Grothendieck moved to Lawrence, Kansas at the beginning of 1955, and there he set his old subject aside in order to work in algebraic topology and homological algebra, and increasingly in algebraic geometry.

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10.

In 1958, Alexander Grothendieck was installed at the Institut des hautes etudes scientifiques, a new privately funded research institute that, in effect, had been created for Jean Dieudonne and Alexander Grothendieck.

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11.

Alexander Grothendieck attracted attention by an intense and highly productive activity of seminars there .

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12.

Alexander Grothendieck practically ceased publication of papers through the conventional, learned journal route.

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13.

The Alexander Grothendieck Festschrift, published in 1990, was a three-volume collection of research papers to mark his sixtieth birthday in 1988.

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14.

In that publication, Cartier notes that as the son of an antimilitary anarchist and one who grew up among the disenfranchised, Alexander Grothendieck always had a deep compassion for the poor and the downtrodden.

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15.

Alexander Grothendieck devoted the next three years to this group and served as the main editor of its bulletin.

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16.

In 1983, stimulated by correspondence with Ronald Brown and Tim Porter at Bangor University, Alexander Grothendieck wrote a 600-page manuscript entitled Pursuing Stacks.

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17.

In 1984, Alexander Grothendieck wrote the proposal Esquisse d'un Programme for a position at the Centre National de la Recherche Scientifique .

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18.

Alexander Grothendieck helped with the translation and wrote a preface for it.

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19.

In 1988, Alexander Grothendieck declined the Crafoord Prize with an open letter to the media.

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20.

In 1991, Alexander Grothendieck moved to a new address that he did not provide to his previous contacts in the mathematical community.

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21.

In January 2010, Alexander Grothendieck wrote the letter entitled "Declaration d'intention de non-publication" to Luc Illusie, claiming that all materials published in his absence had been published without his permission.

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22.

Alexander Grothendieck was very close to his mother to whom he dedicated his dissertation.

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23.

Alexander Grothendieck took them to a higher level of abstraction and turned them into a key organising principle of his theory.

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24.

Alexander Grothendieck went on to plan and execute a programme for rebuilding the foundations of algebraic geometry, which at the time were in a state of flux and under discussion in Claude Chevalley's seminar.

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25.

Alexander Grothendieck is noted for his mastery of abstract approaches to mathematics and his perfectionism in matters of formulation and presentation.

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26.

Alexander Grothendieck'sinfluence spilled over into many other branches of mathematics, for example the contemporary theory of D-modules.

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27.

Bulk of Alexander Grothendieck's published work is collected in the monumental, yet incomplete, Elements de geometrie algebrique and Seminaire de geometrie algebrique .

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28.

Alexander Grothendieck's work includes the invention of the etale and l-adic cohomology theories, which explain an observation made by Andre Weil that argued for a connection between the topological characteristics of a variety and its diophantine properties.

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29.

Alexander Grothendieck wrote that, of these themes, the largest in scope was topoi, as they synthesized algebraic geometry, topology, and arithmetic.

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30.

Alexander Grothendieck wrote that the first and last themes, topological tensor products and regular configurations, were of more modest size than the others.

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31.

Alexander Grothendieck is considered by many to be the greatest mathematician of the twentieth century.

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32.

Alexander Grothendieck approached algebraic geometry by clarifying the foundations of the field, and by developing mathematical tools intended to prove a number of notable conjectures.

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33.

Alexander Grothendieck laid a new foundation for algebraic geometry by making intrinsic spaces and associated rings the primary objects of study.

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