How to Use algebraic geometry in a Sentence

algebraic geometry

noun
  • On the other side is the realm of algebraic geometry, the world of complex numbers.
    — Quanta Magazine, 30 Mar. 2017
  • The problem is that no one in the world of algebraic geometry understands it.
    — Joseph Howlett, Quanta Magazine, 12 Dec. 2025
  • All play a major role in algebraic geometry and other areas of math today.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026
  • Certain versions of algebraic geometry codes might just work.
    — Jordana Cepelewicz, Quanta Magazine, 19 Sep. 2022
  • Zhang’s result drew on a version of the Riemann hypothesis that lives in the world of algebraic geometry.
    — Erica Klarreich, Quanta Magazine, 26 Oct. 2023
  • One method arose in the mathematical field of algebraic geometry.
    — Kevin Hartnett, WIRED, 15 Apr. 2018
  • Revealing Shapes Grothendieck is most famous for his work in algebraic geometry.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026
  • Before Bourbaki, for instance, there were many versions of algebraic geometry.
    — Leila Sloman, Quanta Magazine, 25 Mar. 2026
  • His work also put algebraic geometry in the center of a web of many other areas of math — among them topology, number theory, representation theory, and logic.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026
  • The first option came from the mathematical field of algebraic geometry; a second one came from the mathematical field of symplectic geometry.
    — Quanta Magazine, 3 May 2018
  • The Mandelbrot set is deeply related not just to dynamics, but also to number theory, topology, algebraic geometry, group theory and even physics.
    — Quanta Magazine, 26 Jan. 2024
  • Schemes gave mathematicians a novel, systematic way to study the relationships between objects in algebraic geometry.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026
  • Ostensibly, the course was an introduction to algebraic geometry, the study of solutions to algebraic equations and their geometric properties.
    — Seyward Darby, Longreads, 7 July 2022
  • 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
  • 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
  • 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, 5 Sep. 2019
  • 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
  • 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
  • Shou-Wu Zhang, who later left Columbia for Princeton, worked simultaneously in number theory and arithmetic algebraic geometry.
    — Quanta Magazine, 8 Dec. 2015
  • Last Theorem was proved, by Andrew Wiles, in 1994, Grothendieck’s contributions to algebraic geometry were essential.
    — Rivka Galchen, The New Yorker, 9 May 2022
  • Melanie Matchett Wood, 41, a Harvard number theorist who also studies algebraic geometry, is an infectious mathematician.
    — Karen Heller, Washington Post, 12 Oct. 2022
  • Certainly, algebraic geometry became more reliable.
    — Leila Sloman, Quanta Magazine, 25 Mar. 2026
  • Before Grothendieck, algebraic geometry was an interesting and vibrant subdiscipline within mathematics.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026
  • In the 1960s and ’70s, Alexander Grothendieck and his successors developed novel conceptual tools that helped resolve Hilbert’s problem and set the foundation for the field of modern algebraic geometry.
    — Joseph Howlett, Quanta Magazine, 26 Sep. 2025
  • In the 1960s, the mathematician Alexander Grothendieck advanced a deeply influential theory about algebraic geometry.
    — Quanta Magazine, 11 Oct. 2017
  • But some mathematicians are likening their work to a similar mathematical revolution that took place in the 1950s and ’60s — when Alexander Grothendieck reimagined the field of algebraic geometry in accordance with category theory, vastly extending its reach and power.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026

Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'algebraic geometry.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

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