Oscar Zariski was a Russian-born American mathematician and one of the most influential algebraic geometers of the 20th century.
Solomon Lefschetz was an American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.
Sir William Vallance Douglas Hodge was a British mathematician, specifically a geometer.
David Bryant Mumford is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds and Donaldson–Thomas theory. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University and a Professor in Pure Mathematics at Imperial College London.
Yuri Ivanovitch Manin is a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics. Moreover, Manin was one of the first to propose the idea of a quantum computer in 1980 with his book "Computable and Uncomputable".
Nathan Jacobson was an American mathematician.
David Eisenbud is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and was Director of the Mathematical Sciences Research Institute (MSRI) from 1997 to 2007. He was reappointed to this office in 2013, and his term has been extended until July 31, 2022.
Phillip Augustus Griffiths IV is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic geometry. He was a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli theory. He also worked on partial differential equations, coauthored with Chern, Robert Bryant and Robert Gardner on Exterior Differential Systems.
Shoshichi Kobayashi was a Japanese-American mathematician. He was a brother of electrical engineer and computer scientist Hisashi Kobayashi. His research interests were in Riemannian and complex manifolds, transformation groups of geometric structures, and Lie algebras.
János Kollár is a Hungarian mathematician, specializing in algebraic geometry.
In mathematics and especially complex geometry, the Kobayashi metric is a pseudometric intrinsically associated to any complex manifold. It was introduced by Shoshichi Kobayashi in 1967. Kobayashi hyperbolic manifolds are an important class of complex manifolds, defined by the property that the Kobayashi pseudometric is a metric. Kobayashi hyperbolicity of a complex manifold X implies that every holomorphic map from the complex line C to X is constant.
Michael Liam McQuillan is a Scottish mathematician studying algebraic geometry. As of 2019 he is Professor at the University of Rome Tor Vergata.
Joseph Albert Wolf is an American mathematician. He is now professor emeritus at the University of California, Berkeley.
Charles Herbert Clemens Jr. is an American mathematician, specializing in complex algebraic geometry.
Jean-Pierre Demailly is a French mathematician working in complex analysis and differential geometry.
Henri Antoine Gillet is a European-American mathematician, specializing in arithmetic geometry and algebraic geometry.
David Kent Harrison was an American mathematician, specializing in algebra, particularly homological algebra and valuation theory.
Mihnea Popa is a Romanian-American mathematician, specializing in algebraic geometry.
Bernard Shiffman is an American mathematician, specializing in complex geometry and analysis of complex manifolds.
