algebraic geometry
noun
: 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.
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
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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
His research focuses on the interface of number theory and algebraic geometry.
—Michael T. Nietzel, Forbes, 1 Nov. 2024
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
Juliette Bruce is an NSF postdoctoral fellow in mathematics at the University of California, Berkley, who works in the field of algebraic geometry.
—Rachel Crowell, Scientific American, 12 Aug. 2021
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Joseph Howlett, Quanta Magazine, 26 Sep. 2025
His research focuses on the interface of number theory and algebraic geometry.
—Michael T. Nietzel, Forbes, 1 Nov. 2024
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
Juliette Bruce is an NSF postdoctoral fellow in mathematics at the University of California, Berkley, who works in the field of algebraic geometry.
—Rachel Crowell, Scientific American, 12 Aug. 2021
See All Example Sentences for algebraic geometry
Cite this Entry
“Algebraic geometry.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/algebraic%20geometry. Accessed 24 Oct. 2025.
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