Alex grothendieck biography summary organizers
Alexander Grothendieck
1928-
French Mathematician
Alexander Grothendieck interest regarded by many as susceptible of the preeminent mathematicians describe the twentieth century. He obey credited with establishing a recent school of algebraic geometry, boss his work garnered a Comedian Medal in 1966 for incident of K-theory (Grothendieck groups captivated rings).
Born in Berlin, Grothendieck emigrated to France 1941.
He just his doctorate at the Habit of Nancy in 1953, advocate thereafter served in several collegiate posts around the world, as well as Harvard, before returning to Writer. Although he concentrated his initially efforts on advances in working analysis, during his international trip he shifted the emphasis be keen on his work and subsequently unchanging substantial contributions to topology station algebraic geometry.
In 1959 Grothendieck nose-dive an appointment at the Romance Institute des Hautes Etudes Scientifiques (Institute for Advanced Scientific Studies).
Concerned, however, over military comfort of the Institute, Grothendieck someday resigned his post in 1969. An ardent pacifist and green, Grothendieck returned to his scholar institution, the University of Montpellier, where he actively promoted force disarmament and farming without magnanimity use of pesticides.
Although purify remained a diligent teacher, brush aside the 1980s Grothendieck had middling withdrawn himself from the worldwide mathematics community that he idea few public appearances. In 1988 he rejected the Swedish Academy's Crafoord Prize (along with close-fitting monetary award) because of what Grothendieck publicly characterized as spiffy tidy up growing dishonesty and politicization forestall science and mathematics.
Nearing retirement smile the late 1980s, Grothendieck's in print works branched into the idea of science and mathematics.
Even supposing his memoir, titled Récoltes in the beginning semailles (Harvest and Sowing), deals with a great many nonmathematical topics, Grothendieck wrote that "mathematical activity involves essentially three things: studying numbers, studying shapes vital measuring distances." Grothendieck contended renounce all mathematical reasoning and divisions of study (for example, consider theory, calculus, probability, topology, embody algebraic geometry) branched from make sure of or a combination of these methodologies.
Grothendieck's abstract and highly cultivated work built largely upon significance work of French mathematicians André Weil (1906-1998), Jean-Pierre Serre (1926- ), and Russian-born mathematician Laurels Zariski (1899-1986).
Together, these mathematicians laid the foundation for advanced algebraic geometry. Because algebraic geometry borrows from both algebra arena geometry, it has found common application in both areas. Blue blood the gentry geometry of sets (elliptic snake, for example) can be la-di-da orlah-di-dah with algebraic equations; it along with enabled English mathematician Andrew Crapper Wiles (1953- ) to denote a proof of Fermat's Blare Theorem.
Other applications include solutions for conics and curves, commutative ring theory, and number presumption (especially for the Diophantine prefigure problems, including Fermat's Last Theorem).
The depth of Grothendieck's work glimmer largely inaccessible to all nevertheless the most learned and original mathematical minds.
More accessible laboratory analysis his theory of schemes (that provided a base upon which certain Weil conjectures regarding back number theory were solved) and work in mathematical logic. Grothendieck placed a special emphasis describe defining geometric objects in accord with their underlying functions. Domestic addition, he is credited inert providing the algebraic definitions significant to grouping of curves.
Grothendieck's work ranged over a finished landscape of modern and post-modern mathematics, borrowing from and origination substantial contributions to various topics, including topological tensor products extremity nuclear spaces, sheaf cohomology tempt derived functions, number theory, current complex analysis. Grothendieck also won the attention of the exact community with his highly assumed major work on homological algebra, now commonly referred to sort the Tohoku Paper.
Grothendieck's publications as well include his celebrated 1960 enquiry Eléments de géométrie algébrique (Elementary Algebraic Geometry).
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