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

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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 A few years ago, the University of Utah mathematician and Birkar co-authored one of the most important papers in the field of algebraic geometry, cited in Birkar’s award. Stephen Ornes, Discover Magazine, "State of Science: A Fields Medal Winner Talks About the Need to Collaborate," 15 Jan. 2019 One method arose in the mathematical field of algebraic geometry. Kevin Hartnett, WIRED, "Exploring the Mirror Link Between Two Geometric Worlds," 15 Apr. 2018

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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Last Updated

9 Aug 2019

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The first known use of algebraic geometry was in 1821

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a usually brief trip or an expedition

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