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{{General geometry}}
{{General geometry}}


A '''geometer''' is a [[mathematician]] whose area of study is [[geometry]].
A '''geometer''' is a [[mathematician]] whose area of study is the historical aspects that define [[geometry]], instead of the analytical geometric studies that becomes conducted from geometricians.


Some notable geometers and their main fields of work, chronologically listed, are:
Some notable geometers and their main fields of work, chronologically listed, are:
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== 1000 BCE to 1 BCE ==
== 1000 BCE to 1 BCE ==
{{Further|History of geometry}}
{{Further|History of geometry}}
* [[Baudhayana]] (fl. c. 800 BC) – [[Euclidean geometry]], [[geometric algebra]]
* [[Baudhayana]] (fl. c. 800 BC) – [[Euclidean geometry]]
* [[Manava]] (c. 750 BC–690 BC) – [[Euclidean geometry]]
* [[Manava]] (c. 750 BC–690 BC) – [[Euclidean geometry]]
* [[Thales|Thales of Miletus]] (c. 624 BC – c. 546 BC) – [[Euclidean geometry]]
* [[Thales|Thales of Miletus]] (c. 624 BC – c. 546 BC) – [[Euclidean geometry]]
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* [[Thabit ibn Qurra]] (826–901) – [[analytic geometry]], [[non-Euclidean geometry]], [[conic section]]s
* [[Thabit ibn Qurra]] (826–901) – [[analytic geometry]], [[non-Euclidean geometry]], [[conic section]]s
* [[Abul Wáfa|Abu'l-Wáfa]] (940–998) – [[spherical geometry]], [[spherical triangles]]
* [[Abul Wáfa|Abu'l-Wáfa]] (940–998) – [[spherical geometry]], [[spherical triangles]]
* [[Alhazen]] (965–c. 1040)
* [[Ibn al-Haytham]] (965–c. 1040)
* [[Omar Khayyam]] (1048–1131) – [[algebraic geometry]], [[conic section]]s
* [[Omar Khayyam]] (1048–1131) – [[algebraic geometry]], [[conic section]]s
* [[Ibn Maḍāʾ]] (1116–1196)
* [[Ibn Maḍāʾ]] (1116–1196)
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* [[Jyesthadeva]] (c. 1500 – c. 1610) – [[Euclidean geometry]], [[cyclic quadrilateral]]s
* [[Jyesthadeva]] (c. 1500 – c. 1610) – [[Euclidean geometry]], [[cyclic quadrilateral]]s
* [[Marin Getaldić]] (1568–1626)
* [[Marin Getaldić]] (1568–1626)
* [[Jacques-François Le Poivre]] (1652–1710), projective geometry
* [[Jacques-François Le Poivre]] (1652–1710) projective geometry
* [[Johannes Kepler]] (1571–1630) – (used geometric ideas in astronomical work)
* [[Johannes Kepler]] (1571–1630) – (used geometric ideas in astronomical work)
* [[Edmund Gunter]] (1581–1686)
* [[Edmund Gunter]] (1581–1686)
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* [[Pierre de Fermat]] (1607–1665) – [[analytic geometry]]
* [[Pierre de Fermat]] (1607–1665) – [[analytic geometry]]
* [[Blaise Pascal]] (1623–1662) – [[projective geometry]]
* [[Blaise Pascal]] (1623–1662) – [[projective geometry]]
* [[Christiaan Huygens]] (1629-1695) - [[evolute]]
* [[Christiaan Huygens]] (1629–1695) [[evolute]]
* [[Giordano Vitale]] (1633–1711)
* [[Giordano Vitale]] (1633–1711)
* [[Philippe de La Hire]] (1640–1718) – [[projective geometry]]
* [[Philippe de La Hire]] (1640–1718) – [[projective geometry]]
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* [[Siméon Denis Poisson]] (1781–1840)
* [[Siméon Denis Poisson]] (1781–1840)
* [[Jean-Victor Poncelet]] (1788–1867) – [[projective geometry]]
* [[Jean-Victor Poncelet]] (1788–1867) – [[projective geometry]]
* [[Augustin-Louis Cauchy]] (1789 – 1857)
* [[Augustin-Louis Cauchy]] (1789–1857)
* [[August Ferdinand Möbius]] (1790–1868) – [[Euclidean geometry]]
* [[August Ferdinand Möbius]] (1790–1868) – [[Euclidean geometry]]
* [[Nikolai Ivanovich Lobachevsky]] (1792–1856) – [[hyperbolic geometry]], a [[non-Euclidean geometry]]
* [[Nikolai Ivanovich Lobachevsky]] (1792–1856) – [[hyperbolic geometry]], a [[non-Euclidean geometry]]
* [[Michel Chasles]] (1793–1880) – [[projective geometry]]
* [[Germinal Dandelin]] (1794–1847) – [[Dandelin spheres]] in [[conic sections]]
* [[Germinal Dandelin]] (1794–1847) – [[Dandelin spheres]] in [[conic sections]]
* [[Jakob Steiner]] (1796–1863) – champion of [[synthetic geometry]] methodology, [[projective geometry]], [[Euclidean geometry]]
* [[Jakob Steiner]] (1796–1863) – champion of [[synthetic geometry]] methodology, [[projective geometry]], [[Euclidean geometry]]
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* [[Marcel Grossmann]] (1878–1936)
* [[Marcel Grossmann]] (1878–1936)
* [[Oswald Veblen]] (1880–1960) – [[projective geometry]], [[differential geometry]]
* [[Oswald Veblen]] (1880–1960) – [[projective geometry]], [[differential geometry]]
* [[Nathan Altshiller Court]] (1881–1968) – author of ''College Geometry''
* [[Emmy Noether]] (1882–1935) – [[algebraic topology]]
* [[Emmy Noether]] (1882–1935) – [[algebraic topology]]
* [[Harry Clinton Gossard]] (1884–1954)
* [[Harry Clinton Gossard]] (1884–1954)
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|}
|}


* [[Denis Auroux]] (1977–)
* [[W. V. D. Hodge|William Vallance Douglas Hodge]] (1903–1975)
* [[W. V. D. Hodge|William Vallance Douglas Hodge]] (1903–1975)
* [[Patrick du Val]] (1903–1987)
* [[Patrick du Val]] (1903–1987)
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* [[Jean-Louis Koszul]] (1921–2018)
* [[Jean-Louis Koszul]] (1921–2018)
* [[Isaak Yaglom]] (1921–1988)
* [[Isaak Yaglom]] (1921–1988)
* [[Eugenio Calabi]] (1923–2023)
* [[Benoit Mandelbrot]] (1924–2010) – [[fractal geometry]]
* [[Benoit Mandelbrot]] (1924–2010) – [[fractal geometry]]
* [[Katsumi Nomizu]] (1924–2008) – [[affine differential geometry]]
* [[Katsumi Nomizu]] (1924–2008) – [[affine differential geometry]]
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* [[Robert Williams (geometer)|Robert Williams]] (1942–)
* [[Robert Williams (geometer)|Robert Williams]] (1942–)
* [[Peter McMullen]] (1942–)
* [[Peter McMullen]] (1942–)
* [[Richard S. Hamilton]] (1943–) – [[differential geometry]], [[Ricci flow]], [[Poincaré conjecture]]
* [[Richard S. Hamilton]] (1943–2024) – [[differential geometry]], [[Ricci flow]], [[Poincaré conjecture]]
* [[Mikhail Gromov (mathematician)|Mikhail Gromov]] (1943–)
* [[Mikhail Gromov (mathematician)|Mikhail Gromov]] (1943–)
* [[Rudy Rucker]] (1946–)
* [[Rudy Rucker]] (1946–)
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* [[Simon Donaldson]] (1957–)
* [[Simon Donaldson]] (1957–)
* [[Kenji Fukaya]] (1959–) – symplectic geometry
* [[Kenji Fukaya]] (1959–) – symplectic geometry
* [[Oh Yong-Geun]] (1961–)
* [[Yong-Geun Oh]] (1961–)
* [[Toshiyuki Kobayashi]] (1962–)
* [[Toshiyuki Kobayashi]] (1962–)
* [[Hiraku Nakajima]] (1962–) – representation theory and geometry
* [[Hiraku Nakajima]] (1962–) – representation theory and geometry
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* [[Grigori Perelman]] (1966–) – [[Poincaré conjecture]]
* [[Grigori Perelman]] (1966–) – [[Poincaré conjecture]]
* [[Maryam Mirzakhani]] (1977–2017)
* [[Maryam Mirzakhani]] (1977–2017)
* [[Denis Auroux]] (1977–)


== Geometers in art ==
== Geometers in art ==
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== See also ==
== See also ==

* [[Geometry]]
* [[Mathematics and architecture]]
* [[Mathematics and architecture]]



Latest revision as of 04:18, 9 October 2024

One of the oldest surviving fragments of Euclid's Elements, found at Oxyrhynchus and dated to c. 100 AD (P. Oxy. 29). The diagram accompanies Book II, Proposition 5.[1]

A geometer is a mathematician whose area of study is the historical aspects that define geometry, instead of the analytical geometric studies that becomes conducted from geometricians.

Some notable geometers and their main fields of work, chronologically listed, are:

1000 BCE to 1 BCE

[edit]

1–1300 AD

[edit]

1301–1800 AD

[edit]

Leonardo da Vinci

Johannes Kepler

Girard Desargues

René Descartes

Blaise Pascal

Isaac Newton

Leonhard Euler

Carl Gauss

August Möbius

Nikolai Lobachevsky

John Playfair

Jakob Steiner

1801–1900 AD

[edit]

Julius Plücker

Arthur Cayley

Bernhard Riemann

Richard Dedekind

Max Noether

Felix Klein

Hermann Minkowski

Henri Poincaré

Evgraf Fedorov

1901–present

[edit]

H. S. M. Coxeter

Ernst Witt

Benoit Mandelbrot

Branko Grünbaum

Michael Atiyah

J. H. Conway

William Thurston

Mikhail Gromov

George W. Hart

Shing-Tung Yau

Károly Bezdek

Grigori Perelman
Auroux denis
Denis Auroux

Geometers in art

[edit]

God as architect of the world, 1220–1230, from Bible moralisée

Kepler's Platonic solid model of planetary spacing in the Solar System from Mysterium Cosmographicum (1596)

The Ancient of Days, 1794, by William Blake, with the compass as a symbol for divine order

Newton (1795), by William Blake; here, Newton is depicted critically as a "divine geometer".[2]

See also

[edit]

References

[edit]
  1. ^ Bill Casselman. "One of the Oldest Extant Diagrams from Euclid". University of British Columbia. Retrieved 2008-09-26.
  2. ^ "Newton, object 1 (Butlin 306) "Newton"". William Blake Archive. September 25, 2013.