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Alexander Grothendieck Quotes

Alexander Grothendieck was a mathematician who became the leading figure in the creation of modern algebraic geometry. His research 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. He is considered by many to be the greatest mathematician of the 20th century.Born in Germany, Grothendieck was raised and lived primarily in France. For much of his working life, however, he was, in effect, stateless. As he consistently spelled his first name "Alexander" rather than "Alexandre" and his surname, taken from his mother, was the Dutch-like Low German "Grothendieck", he was sometimes mistakenly believed to be of Dutch origin.Grothendieck began his productive and public career as a mathematician in 1949. In 1958, he was appointed a research professor at the Institut des hautes études scientifiques and remained there until 1970, when, driven by personal and political convictions, he left following a dispute over military funding. He received his Fields Medal in 1966 for advances in algebraic geometry, homological algebra, and K-theory. He later became professor at the University of Montpellier and, while still producing relevant mathematical work, he withdrew from the mathematical community and devoted himself to political causes. Soon after his formal retirement in 1988, he moved to the French village of Lasserre in the Pyrenees, where he lived secluded, still working tirelessly on mathematics until his death in 2014. Wikipedia  

✵ 28. March 1928 – 13. November 2014
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Alexander Grothendieck: 3   quotes 0   likes

Famous Alexander Grothendieck Quotes

“It is less than four years since cohomological methods (i. e. methods of Homological Algebra) were introduced into Algebraic Geometry in Serre's fundamental paper[11], and it seems certain that they are to overflow the part of mathematics in the coming years, from the foundations up to the most advanced parts. … [11] Serre, J. P. Faisceaux algébriques cohérents. Ann. Math. (2), 6, 197–278”

Alexander Grothendieck

1955
[1960, Cambridge University Press, The cohomology theory of abstract algebraic varieties, Proc. Internat. Congress Math.(Edinburgh, 1958), 103–118, https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/CohomologyVarieties.pdf] (p. 103)

“The introduction of the digit 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps…”

Alexander Grothendieck

R. Brown and T. Porter,Analogy, concepts and methodology, in mathematics, UWB Math Preprint, May 26,2006 Link http://math.stanford.edu/~vakil/216blog/FOAGjun1113public.pdf

“I can illustrate the … approach with the … image of a nut to be opened. The first analogy that came to my mind is of immersing the nut in some softening liquid, and why not simply water? From time to time you rub so the liquid penetrates better, and otherwise you let time pass. The shell becomes more flexible through weeks and months — when the time is ripe, hand pressure is enough, the shell opens like a perfectly ripened avocado! A different image came to me a few weeks ago. The unknown thing to be known appeared to me as some stretch of earth or hard marl, resisting penetration … the sea advances insensibly in silence, nothing seems to happen, nothing moves, the water is so far off you hardly hear it … yet finally it surrounds the resistant substance.”

Alexander Grothendieck

C. McLarty, The Rising Sea: Grothendieck on simplicity and generality, in J. J. Gray and K.H. Parshall eds., Episodes in the History of Modern Algebra (1800–1950), Amer. Math. Soc., Providence, RI, 2007.Link http://math.stanford.edu/~vakil/216blog/FOAGjun1113public.pdf

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