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A 'geometer' is a mathematician whose area of study is geometry. Some important geometers and their main fields of work are:
==Mathematicians==

★ Apastamba - Euclidean geometry, geometric algebra

★ Apollonius of Perga - Euclidean geometry, conic sections

★ Archimedes - Euclidean geometry

★ Albert Victor Bäcklund

★ Henry Frederick Baker - algebraic geometry

★ Baudhayana - Euclidean geometry, geometric algebra

★ Luigi Bianchi - differential geometry

★ Janos Bolyai - non-Euclidean geometry

★ Pierre Ossian Bonnet - differential geometry

★ Brahmagupta - Euclidean geometry, cyclic quadrilaterals

★ Lazare Nicolas Marguerite Carnot - projective geometry

★ Arthur Cayley

★ Giovanni Ceva - Euclidean geometry

★ Shiing-Shen Chern - differential geometry

★ Delfino Codazzi - differential geometry

★ J. H. Conway - sphere packing, recreational geometry

★ H. S. M. Coxeter - theory of polytopes, non-Euclidean geometry, projective geometry

★ Germinal Dandelin - Dandelin spheres in conic sections

★ Julius Wilhelm Richard Dedekind

★ René Descartes - invented the methodology analytic geometry

★ Joseph Diaz Gergonne - projective geometry; Gergonne point

★ Girard Desargues - projective geometry; Desargues' theorem

★ Eratosthenes - Euclidean geometry

★ La Hire - projective geometry

★ Euclid - ''Elements'', Euclidean geometry

★ Leonhard Euler - everything

★ Karl Wilhelm Feuerbach - Euclidean geometry

★ Carl Friedrich Gauss - Theorema Egregium.

★ Hero of Alexandria - Euclidean geometry

★ Robin Hartshorne - All kinds of geometry, algebraic geomety

★ William Vallance Douglas Hodge

★ Hypatia of Alexandria - Euclidean geometry

★ Jyesthadeva - Euclidean geometry, cyclic quadrilaterals

★ Katyayana - Euclidean geometry

★ Felix Klein

★ Sofia Vasilyevna Kovalevskaya

★ Nikolai Ivanovich Lobachevsky - non-Euclidean geometry

★ Manava - Euclidean geometry

★ Hermann Minkowski - non-Euclidean geometry

★ August Ferdinand Möbius - Euclidean geometry

★ Gaspard Monge - descriptive geometry

★ Max Noether - algebraic geometry

★ Omar Khayyam - algebraic geometry, conic sections

★ Blaise Pascal - projective geometry

★ Daniel Pedoe

★ John Playfair - Euclidean geometry

★ Julius Plucker

★ Henri Poincaré

★ Jean-Victor Poncelet - projective geometry

★ Pappus of Alexandria - Euclidean geometry, projective geometry

★ Siméon-Denis Poisson

★ Pythagoras - Euclidean geometry

★ Bernhard Riemann - non-Euclidean geometry

★ Giovanni Gerolamo Saccheri - non-Euclidean geometry

★ Nilakantha Somayaji - geometric progressions

★ Jakob Steiner - a champion of synthetic geometry methodology, projective geometry, Euclidean geometry

★ Thabit ibn Qurra - analytic geometry, non-Euclidean geometry, conic sections

★ Thales of Miletus - Euclidean geometry

★ Abu'l-Wáfa - spherical geometry, non-Euclidean geometry

★ Zeno of Elea - Euclidean geometry

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Others

Others

★ Albert Einstein - non-Euclidean geometry

★ Maurits Cornelis Escher (trained as architect; worked as artist; was 'not' a mathematician but used geometrical ideas extensively)

★ George W. Hart - sculptor

★ Buckminster Fuller

★ Leonardo da Vinci - Euclidean geometry

★ Isaac Newton - 3rd degree algebraic curves