Alexander Grothendieck (born March 28, 1928 in Berlin, Germany) is one of the most influential mathematicians of the twentieth century. He is known principally for his revolutionary advances in algebraic geometry, but also for major contributions to algebraic topology, number theory, category theory, Galois theory, descent theory, commutative and homological algebra, and functional analysis.
Heisuke Hironaka (広中 平祐 Hironaka Heisuke; born 9 April 1931) is a Japanese mathematician. After completing his undergraduate studies at Kyoto University, he received his Ph.D. from Harvard while under the direction of Oscar Zariski. He won the Fields Medal in 1970. He is celebrated for proving in 1964 that singularities of algebraic varieties admit resolutions in characteristic zero.
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, and a philosopher of science. Poincaré is often described as a polymath, and in mathematics as The Last Universalist, since he excelled in all fields of the discipline as it existed during his lifetime. As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics.
Vladimir Voevodsky (born 4 June 1966) is a Russian mathematician. His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal in 2002.
Elmer Gethin Rees, CBE, FRSE (born 1941) is a mathematician with publications in area ranging from topology, differential geometry, algebraic geometry, linear algebra and Morse theory to robotics. He currently holds the post of Director of the Heilbronn Institute for Mathematical Research, a partnership between Bristol University and the British signals intelligence agency GCHQ. Rees was born in Llandybie and grew up in Wales. He studied at St Catharine's College, Cambridge gaining a B.A.
Jean-Pierre Serre (born 15 September 1926) is a French mathematician in the fields of algebraic geometry, number theory and topology. He has received numerous awards and honors for his mathematical research and exposition, including the Fields Medal in 1954 and the Abel Prize in 2003.
Oscar Zariski (born Oscher Zaritsky April 24, 1899, in Kobrin, Russia, died July 4, 1986, Brookline, Massachusetts) was a Jewish-American mathematician and one of the most influential algebraic geometers of the 20th century.
Erich Kähler (16 January 1906 – 31 May 2000) was a German mathematician with wide-ranging geometrical interests. Kähler was born in Leipzig, and studied there. He received his Ph.D. in 1928 from the University of Leipzig. He held professorial positions in Königsberg, Leipzig, Berlin and Hamburg. Later in life he became interested in general philosophical issues.
David Bryant Mumford (born 11 June 1937) is a mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. He is currently a University Professor in the Division of Applied Mathematics at Brown University, having previously had a long academic career at Harvard University.
Jakob Rosanes (August 16, 1842 Brody, Austria-Hungary – January 6, 1922) was a German mathematician who worked on algebraic geometry and invariant theory. He was also a chess master. Rosanes studied at University of Berlin and the University of Breslau. He obtained his doctorate from Breslau in 1865 and taught there for the rest of his working life. He became professor in 1876 and rector of the university during the years 1903–1904.
Kunihiko Kodaira (小平 邦彦, Kodaira Kunihiko, 16 March 1915 – 26 July 1997) was a Japanese mathematician known for distinguished work in algebraic geometry and the theory of complex manifolds, and as the founder of the Japanese school of algebraic geometers. He was awarded a Fields Medal in 1954, being the first Japanese national to receive this honour.
Shigefumi Mori (森 重文 Mori Shigefumi, born February 23, 1951) is a Japanese mathematician, known for his work in algebraic geometry, particularly in relation to the classification of three-folds. He generalized the classical approach to the classification of algebraic surfaces to the classification of algebraic three-folds. The classical approach used the concept of minimal models of algebraic surfaces.
Igor Rostislavovich Shafarevich is an outstanding Soviet and Russian mathematician, founder of a school of algebraic number theory and algebraic geometry in the USSR, and a political writer. He was also an important dissident figure under the Soviet regime, a public supporter of Andrei Sakharov's Human Rights Committee from 1970. He supported the criticisms of Aleksandr Solzhenitsyn of both Soviet communism and liberal proposals for the future of Russia.
George Henri Halphen (30 October 1844, Rouen – 23 May 1889, Versailles) was a French mathematician. He did his studies at École Polytechnique (X 1862). He was known for his work in geometry, particularly in enumerative geometry and the singularity theory of algebraic curves, in algebraic geometry. He also worked on invariant theory and projective differential geometry.
Rudolf Friedrich Alfred Clebsch (19 January 1833, Königsberg – 7 November 1872, Göttingen) was a German mathematician who made important contributions to algebraic geometry and invariant theory. He attended the University of Königsberg and was habilitated at Berlin. He subsequently taught in Berlin and Karlsruhe. His collaboration with Paul Gordan in Giessen led to the introduction of Clebsch-Gordan coefficients for spherical harmonics, which are now widely used in quantum mechanics.
Michael Artin (born 1934) is an American mathematician and a professor at MIT, known for his contributions to algebraic geometry. Artin was born in Hamburg, Germany, and brought up in Indiana. He is Armenian through his father, mathematician Emil Artin, and Jewish through his mother. In the early 1960s Artin spent time at the IHÉS in France, contributing to the SGA4 volumes of the Séminaire de géométrie algébrique, on topos theory and étale cohomology.
Eliakim Hastings Moore was an American mathematician. He is a central source for much of 20th century American mathematical research activity. As a gross measure of Moore's influence, more than twice as many Ph.D. mathematicians were produced by his University of Chicago mathematics department during his tenure than were produced by any other single institution in the United States.
Francesco Severi was an Italian mathematician. He is famous for his contributions to algebraic geometry. He became the effective leader of the Italian school of algebraic geometry. Together with Federigo Enriques, he won the Bordin prize from the French Academy of Sciences. He contributed in a major way to birational geometry, the theory of algebraic surfaces, in particular of the curves lying on them, the theory of moduli spaces and the theory of functions of several complex variables.
Pierre Samuel (born 12 September 1921 in Paris -- died 23 August 2009 in Paris) was a French mathematician, known for his work in commutative algebra and its applications to algebraic geometry. The two-volume work Commutative Algebra that he wrote with Oscar Zariski is a classic. Other books of his covered projective geometry and algebraic number theory. He ran a Paris seminar during the 1960s, and became Professeur émérite at the Université Paris-Sud (Orsay).
Pasquale Del Pezzo, Duke of Cajanello, (May 2, 1859–June 20, 1936), was a Neapolitan mathematician. He was born in Berlin (where his father was a representative of the Neapolitan king) on 2 May 1859. He died in Naples on 20 June 1936. His wife was the Swedish writer Anne Charlotte Leffler, sister of the great mathematician Gösta Mittag-Leffler (1846-1927). At the University of Naples, he received first a law degree in 1880 and then in 1882 a math degree.
Francis Sowerby Macaulay FRS (11 February 1862 – 9 February 1937) was an English mathematician who made significant contributions to algebraic geometry. He is most famous for his 1916 book, The Algebraic Theory of Modular Systems, which greatly influenced the later course of algebraic geometry. Both Cohen-Macaulay rings and the Macaulay resultant are named for Macaulay. Macaulay was educated at Kingswood School and graduated with distinction from St John's College, Cambridge.
Joseph Daniel Harris (born 1951), known nearly universally as Joe Harris, is a mathematician at Harvard University working in the field of algebraic geometry. He attended college at and received his Ph.D. from Harvard in 1978 under Phillip Griffiths. During the 1980s he was on the faculty of Brown University, moving to Harvard around 1988. He served as chair of the department at Harvard from 2002-2005.