algebraic geometry


Definition of algebraic geometry

: a branch of mathematics concerned with describing the properties of geometric structures by algebraic expressions and especially those properties that are invariant under changes of coordinate systems Anthropologist Clifford Geertz speaks of new "blurred genres" in scholarship, fields like cognitive science, molecular biology, bioethics, and algebraic geometry— Daniel McNeill et al. especially : the study of sets of points in space of n dimensions that satisfy systems of polynomial equations in which each equation contains n variables

Examples of algebraic geometry in a Sentence

Recent Examples on the Web Today, category theory and its next-generation version, higher category theory, are central to many fields of math, from algebraic geometry to mathematical physics. Quanta Magazine, "Conducting the Mathematical Orchestra From the Middle," 2 Sep. 2020 In the 1960s, the mathematician Alexander Grothendieck advanced a deeply influential theory about algebraic geometry. Quanta Magazine, "Visionary Mathematician Vladimir Voevodsky Dies at 51," 11 Oct. 2017 One of this year’s four winners, Cambridge University’s Caucher Birkar, was recognized for his pioneering work in an abstract subfield called algebraic geometry. Stephen Ornes, Discover Magazine, "State of Science: A Fields Medal Winner Talks About the Need to Collaborate," 15 Jan. 2019 Shou-Wu Zhang, who later left Columbia for Princeton, worked simultaneously in number theory and arithmetic algebraic geometry. Quanta Magazine, "Math Quartet Joins Forces on Unified Theory," 8 Dec. 2015 On the other side is the realm of algebraic geometry, the world of complex numbers. Quanta Magazine, "Quantum Questions Inspire New Math," 30 Mar. 2017 For work in arithmetic algebraic geometry including applications to the theory of Shimura varieties and the Riemann-Hilbert problem for p-adic varieties. Nadia Drake, National Geographic, "2020 Breakthrough Prizes: Who won this year's 'Oscars of science'?," 5 Sep. 2019 The first option came from the mathematical field of algebraic geometry; a second one came from the mathematical field of symplectic geometry. Quanta Magazine, "Three Decades Later, Mystery Numbers Explained," 3 May 2018 At the same time that Wei Zhang was exploring L-functions, Yuan was finding his own way in number theory, and Yun and Zhu were establishing their research programs in algebraic geometry. Quanta Magazine, "Math Quartet Joins Forces on Unified Theory," 8 Dec. 2015

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'algebraic geometry.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of algebraic geometry

1821, in the meaning defined above

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Time Traveler for algebraic geometry

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The first known use of algebraic geometry was in 1821

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Last Updated

13 Sep 2020

Cite this Entry

“Algebraic geometry.” Dictionary, Merriam-Webster, Accessed 21 Sep. 2020.

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