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 Recently Goins, whose research focuses on number theory and algebraic geometry, has been part of a team working to update the Web site Mathematicians of the African Diaspora, also known as the MAD Pages. Rachel Crowell, Scientific American, 12 Aug. 2021 Professor du Sautoy’s research focuses on number theory, utilizing a wide range of topics such as model theory, algebraic geometry, and analytic methods. Gabriel A. Silva, Forbes, 23 June 2021 Finally, in the mid-nineteen-eighties, progress on various aspects of algebraic geometry suggested a way forward to the mathematician Andrew Wiles. Dan Rockmore, The New Yorker, 20 June 2021 In the mid-1950s, Is spent a year at the Institute for Advanced Study in Princeton, New Jersey, then a locus of radical advances in topology and algebraic geometry. Quanta Magazine, 4 Mar. 2021 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, 2 Sep. 2020 In the 1960s, the mathematician Alexander Grothendieck advanced a deeply influential theory about algebraic geometry. Quanta Magazine, 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, 15 Jan. 2019 Shou-Wu Zhang, who later left Columbia for Princeton, worked simultaneously in number theory and arithmetic algebraic geometry. Quanta Magazine, 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.

See More

First Known Use of algebraic geometry

1821, in the meaning defined above

Keep scrolling for more

Learn More About algebraic geometry

Time Traveler for algebraic geometry

Time Traveler

The first known use of algebraic geometry was in 1821

See more words from the same year

Dictionary Entries Near algebraic geometry

algebraic function

algebraic geometry

algebraic logic

See More Nearby Entries 

Statistics for algebraic geometry

Last Updated

21 Aug 2021

Cite this Entry

“Algebraic geometry.” Dictionary, Merriam-Webster, Accessed 23 Sep. 2021.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon


Test Your Vocabulary

Farm Idioms Quiz

  • cow coming home
  • What does 'poke' refer to in the expression 'pig in a poke'?
Name That Thing

Test your visual vocabulary with our 10-question challenge!

 AlphaBear 2

Spell words. Make bears.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!