List of geometers
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A geometer is a mathematician whose area of study is geometry.
Some important geometers and their main fields of work, chronologically listed are:
Contents
800 BC to 1 BC
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Pythagoras |
Euclid |
Archimedes |
|
Eratosthenes |
Thales |
Plato |
Mozi |
- Baudhayana (fl. c. 800 BC) Euclidean geometry, geometric algebra
- Manava (ca. 750 BC – 690 BC) Euclidean geometry
- Thales of Miletus (c. 624 BC – c. 546 BC) - Euclidean geometry
- Pythagoras (c. 570 BC – c. 495 BC) Euclidean geometry, Pythagorean Theorem
- Zeno of Elea (ca. 490 BC – ca. 430 BC) Euclidean geometry
- Hippocrates of Chios (born c. 470; died 410 BC) - the first systematically organized Stoicheia Elements (geometry textbook)
- Mozi (ca. 470 BC – ca. 391 BC)
- Plato (427-347 BC)
- Theaetetus (c. 417 BC – 369 BC)
- Autolycus of Pitane(360 – c. 290 BC) astronomy, spherical geometry
- Euclid (fl. 300 BC) Elements, Euclidean geometry (sometimes called the "father of geometry")
- Apollonius of Perga (ca. 262 BC – ca. 190 BC) Euclidean geometry, conic sections
- Archimedes (c. 287 BC – c. 212 BC)- Euclidean geometry
- Eratosthenes (c. 276 BC – c. 195/194 BC) Euclidean geometry
- Katyayana (c. 3rd century BC) Euclidean geometry
1–1400 AD
Hero of Alexandria |
Omar Khayyam |
Vergilius of Salzburg |
Abu'l-Wáfa |
Ibn Maḍāʾ |
- Hero of Alexandria (c. AD 10 – 70) Euclidean geometry
- Pappus of Alexandria (c. AD 290 – c. 350) Euclidean geometry, projective geometry
- Hypatia of Alexandria (c. AD 370 – c. 415) Euclidean geometry
- Brahmagupta (597–668) Euclidean geometry, cyclic quadrilaterals
- Vergilius of Salzburg (c.700-784) Irish bishop of Aghaboe, Ossory and later Salzburg, Austria; antipodes, and astronomy.
- Thabit ibn Qurra (826 – 901) analytic geometry, non-Euclidean geometry, conic sections
- Abu'l-Wáfa (940 – 998) spherical geometry, non-Euclidean geometry
- Alhazen (965 – c. 1040)
- Omar Khayyam (1048 – 1131) algebraic geometry, conic sections
- Ibn Maḍāʾ (1116–1196)
1401–1800 AD
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 |
- Piero della Francesca (1415 - 1492)
- Leonardo da Vinci (1452 – 1519) Euclidean geometry
- Jyesthadeva (c. 1500 – c. 1610) Euclidean geometry, cyclic quadrilaterals
- Marin Getaldić (1568 – 1626)
- Johannes Kepler (1571 – 1630) (used geometric ideas in astronomical work)
- Girard Desargues (1591 – 1661) projective geometry; Desargues' theorem
- René Descartes (1596 – 1650)) invented the methodology of analytic geometry, also called Cartesian geometry after him
- Blaise Pascal (1623 – 1662) projective geometry
- Giordano Vitale (1633 - 1711)
- Philippe de La Hire (1640 – 1718) projective geometry
- Isaac Newton (1642 – 1727) 3rd-degree algebraic curve
- Giovanni Ceva (1647 – 1734) Euclidean geometry
- Giovanni Gerolamo Saccheri (1667 – 1733) non-Euclidean geometry
- Leonhard Euler (1707 – 1783)
- Tobias Mayer (1723 – 1762)
- Johann Heinrich Lambert (1728 – 1777) non-Euclidean geometry
- Gaspard Monge (1746 – 1818) descriptive geometry
- John Playfair (1748 – 1819) Euclidean geometry
- Lazare Nicolas Marguerite Carnot (1753 – 1823) projective geometry
- Joseph Diaz Gergonne (1771 - 1859 ) projective geometry; Gergonne point
- Carl Friedrich Gauss (1777 – 1855) Theorema Egregium
- Louis Poinsot (1777–1859)
- Siméon Denis Poisson (1781 – 1840)
- Jean-Victor Poncelet (1788 – 1867) projective geometry
- August Ferdinand Möbius (1790 – 1868) Euclidean geometry
- Nikolai Ivanovich Lobachevsky (1792 – 1856) hyperbolic geometry, a non-Euclidean geometry
- Germinal Dandelin (1794 – 1847) Dandelin spheres in conic sections
- Jakob Steiner (1796 – 1863) a champion of synthetic geometry methodology, projective geometry, Euclidean geometry
1801–1900 AD
Julius Plücker |
Arthur Cayley |
Bernhard Riemann |
Julius Dedekind |
Max Noether |
Felix Klein |
Henri Poincaré |
Evgraf Fedorov |
Alicia Boole Stott |
Albert Einstein |
Buckminster Fuller |
M. C. Escher |
- Karl Wilhelm Feuerbach (1800 – 1834) Euclidean geometry
- Julius Plücker (1801 – 1868)
- János Bolyai (1802 – 1860) hyperbolic geometry, a non-Euclidean geometry
- Christian Heinrich von Nagel (1803 - 1882) Euclidean geometry
- Johann Benedict Listing (1808 – 1882) topology
- Pierre Ossian Bonnet (1819 - 1892) differential geometry
- Arthur Cayley (1821 – 1895)
- Delfino Codazzi (1824 – 1873) differential geometry
- Bernhard Riemann (1826 – 1866) elliptic geometry (or Riemannian geometry), a non-Euclidean geometry
- Julius Wilhelm Richard Dedekind (1831 – 1916)
- Ludwig Burmester (1840 – 1927) theory of linkages
- Edmund Hess (1843 – 1903)
- Albert Victor Bäcklund (1845 – 1922)
- Max Noether (1844 – 1921) algebraic geometry
- Henri Brocard (1845 – 1922) Brocard points
- William Kingdon Clifford (1845 - 1879) geometric algebra
- Pieter Hendrik Schoute (1846 - 1923)
- Felix Klein (1849 – 1925)
- Sofia Vasilyevna Kovalevskaya (1850 – 1891)
- Evgraf Fedorov (1853 – 1919)
- Henri Poincaré (1854 – 1912)
- Luigi Bianchi (1856 – 1928) differential geometry
- Alicia Boole Stott (1860 - 1940)
- Hermann Minkowski (1864 – 1909) non-Euclidean geometry
- Henry Frederick Baker (1866 – 1956) algebraic geometry
- Élie Cartan (1869 – 1951)
- Dmitri Egorov (1869 – 1931) differential geometry
- Raoul Bricard (1870 – 1944) descriptive geometry
- Ernst Steinitz (1871 – 1928) Steinitz's theorem
- Marcel Grossmann (1878 – 1936)
- Albert Einstein (1879 – 1955) non-Euclidean geometry
- Oswald Veblen (1880 – 1960) projective geometry, differential geometry
- Harry Clinton Gossard (1884 – 1954)
- Arthur Rosenthal (1887 – 1959)
- Buckminster Fuller (1895 – 1983)
- Helmut Hasse (1898 – 1979) algebraic geometry
- Maurits Cornelis Escher (1898 – 1972) (trained as architect; worked as artist; was not a mathematician but used geometrical ideas extensively)
1901–present
H. S. M. Coxeter |
Ernst Witt |
Benoît Mandelbrot |
Branko Grünbaum |
Michael Atiyah |
J. H. Conway |
William Thurston |
Mikhail Gromov |
George W. Hart |
Shing-Tung Yau |
Károly Bezdek |
Grigori Perelman |
- William Vallance Douglas Hodge (1903 – 1975)
- Patrick du Val (1903 - 1987)
- Beniamino Segre (1903 – 1977) combinatorial geometry
- J. C. P. Miller (1906 - 1981)
- André Weil (1906 – 1998) Algebraic geometry
- H. S. M. Coxeter (1907 – 2003) theory of polytopes, non-Euclidean geometry, projective geometry
- J. A. Todd (1908 - 1994)
- Daniel Pedoe (1910 – 1998)
- Shiing-Shen Chern (1911 – 2004) differential geometry
- Ernst Witt (1911 - 1991)
- Rafael Artzy (1912 – 2006)
- Aleksandr Danilovich Aleksandrov (1912 – 1999)
- László Fejes Tóth (1915 – 2005)
- Aleksei Pogorelov (1919 – 2002) differential geometry
- Magnus Wenninger (1919 - )
- Jean-Louis Koszul (1921 - )
- Benoît Mandelbrot (1924 – 2010) fractal geometry
- Katsumi Nomizu (1924 - ) affine differential geometry
- Michael S. Longuet-Higgins (1925 - )
- John Leech (mathematician) (1926 - 1992)
- Branko Grünbaum (1929 - ) discrete geometry.
- Michael Atiyah (1929 - )
- Geoffrey Colin Shephard (~1930 - )
- Norman W. Johnson (1930 - )
- John Milnor (1931 - )
- Roger Penrose (1931 - )
- Yuri Manin (1937 - ) algebraic geometry and diophantine geometry
- Vladimir Arnold (1937 – 2010) algebraic geometry
- Ernest Vinberg (1937 - )
- J. H. Conway ( 1937 - ) sphere packing, recreational geometry
- Robin Hartshorne (1938 - ) All kinds of geometry, algebraic geometry
- Phillip Griffiths (1938 - ) algebraic geometry, differential geometry
- Enrico Bombieri (1940 - ) algebraic geometry
- Robert Williams (geometer) (1942 - )
- Peter McMullen (1942 - )
- Richard Hamilton (1943 - ) differential geometry, Ricci flow, Poincaré conjecture
- Mikhail Gromov (1943 - )
- Roger Burrows (1945 - ) applied close packing theory in education
- Rudy Rucker (1946 - )
- William Thurston (1946 – 2012)
- Shing-Tung Yau (1949 - )
- Michael Freedman (1951 - )
- Egon Schulte (1955 - ) polytopes
- George W. Hart (1955 - ) sculptor
- Károly Bezdek (1955- ) Discrete geometry, sphere packing, Euclidean geometry, non-Euclidean geometry
- Simon Donaldson (1957 - )
- Grigori Perelman (1966 - )
- Maryam Mirzakhani (1977 - )
Geometers in art
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] |