What Columbia University professor proved the Earle-Hamilton fixed-point theorem with Clifford Earle in 1968?
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Earle–Hamilton fixed-point theorem In mathematics, the Earle–Hamilton fixed point theorem is a result in geometric function theory giving sufficient conditions for a holomorphic mapping of an open domain in a complex Banach space into itself to have a fixed point. The result was proved in 1968 by Clifford Earle and Richard S. Hamilton by showing that, with respect to the Carathéodory metric on the domain, the holomorphic mapping becomes a contraction mapping to which the Banach fixed-point theorem can be applied.
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Richard S. Hamilton Richard Streit Hamilton (born 1943) is Davies Professor of Mathematics at Columbia University.
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Carol Wood Carol Saunders Wood (born February 9, 1945, in Pennington Gap, Virginia) is a retired American mathematician, the Edward Burr Van Vleck Professor of Mathematics, "Emerita", at Wesleyan University. Her research concerned mathematical logic and model-theoretic algebra, and in particular the theory of differentially closed fields.
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Chiu-Chu Melissa Liu Chiu-Chu Melissa Liu (; born December 15, 1974) is a Taiwanese mathematician who works as a professor of mathematics at Columbia University. Her research interests include algebraic geometry and symplectic geometry.
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Birkhoff–Kellogg invariant-direction theorem In functional analysis, the Birkhoff–Kellogg invariant-direction theorem, named after G. D. Birkhoff and O. D. Kellogg, is a generalization of the Brouwer fixed-point theorem. The theorem states that:
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Denny Gulick Denny Gulick, born Sidney Lewis Gulick III, is a professor of mathematics at University of Maryland, College Park.
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Ken Ribet Kenneth Alan "Ken" Ribet ( ; born June 28, 1948) is an American mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include algebraic number theory and algebraic geometry.
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Nick Katz Nicholas Michael "Nick" Katz (born December 7, 1943) is an American mathematician, working in the fields of algebraic geometry, particularly on "p"-adic methods, monodromy and moduli problems, and number theory. He is currently a professor in the Mathematics Department at Princeton University in Princeton, New Jersey and an editor of the journal "Annals of Mathematics".
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George Glauberman George Glauberman (born March 3, 1941, New York City) is a mathematician at the University of Chicago who works on finite simple groups. He proved the ZJ theorem and the Z theorem.
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Mortimer Lamson Earle Mortimer Lamson Earle, Ph. D. (1864 – 1905) was an American classical scholar. He was born in New York City on October 14, 1864, the only child of Mortimer Lent Earle and Mercy Josephine Allen. He received his early education from Ashland Public School in East Orange, New Jersey and through private tutors, and was educated at Columbia College of Columbia University, receiving his doctorate from Columbia University in 1889. He studied at the University of Bonn and the American School of Classical Studies at Athens in the period from 1887 to 1889. At the latter in 1887 he was placed in charge of the excavations of the site of ancient Sikyon by Professor Augustus C. Merriam of Columbia. In 1892 he married Ethel Deodata Woodward (1864 – 1940). They had no children.
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Brian Greene Brian Randolph Greene (born February 9, 1963) is an American theoretical physicist, mathematician, and string theorist. He has been a professor at Columbia University since 1996 and chairman of the World Science Festival since co-founding it in 2008. Greene has worked on mirror symmetry, relating two different Calabi–Yau manifolds (concretely, relating the conifold to one of its orbifolds). He also described the flop transition, a mild form of topology change, showing that topology in string theory can change at the conifold point.
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Melvin Fitting Melvin "Mel" Fitting (born January 24, 1942 in Troy, New York) is a logician with special interests in philosophical logic and tableau proof systems. From 1968 to 2013 he was a Professor at City University of New York, Lehman College and the Graduate Center. At the Graduate Center he was in the departments of Computer Science, Philosophy, and Mathematics, and at Lehman College he was in the department of Mathematics and Computer Science. He is now Professor emeritus. His undergraduate degree is from Rensselaer Polytechnic Institute, and his doctorate is from Yeshiva University, both in mathematics. His thesis advisor was Raymond Smullyan.
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Sun-Yung Alice Chang Sun-Yung Alice Chang (born 1948) is a Chinese American mathematician specializing in aspects of mathematical analysis ranging from harmonic analysis and partial differential equations to differential geometry. She is the Eugene Higgins Professor of Mathematics at Princeton University.
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David S. Johnson David Stifler Johnson (December 9, 1945 – March 8, 2016) was an American computer scientist specializing in algorithms and optimization. He was the head of the Algorithms and Optimization Department of AT&T Labs Research from 1988 to 2013, and was a visiting professor at Columbia University from 2014 to 2016. He was awarded the 2010 Knuth Prize.
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Errett Bishop Errett Albert Bishop (July 14, 1928 – April 14, 1983) was an American mathematician known for his work on analysis. He expanded constructive analysis in his 1967 "Foundations of Constructive Analysis", where he proved most of the important theorems in real analysis by constructive methods.
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Charles Fefferman Charles Louis Fefferman (born April 18, 1949) is an American mathematician at Princeton University. His primary field of research is mathematical analysis.
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Murray Brown Murray George Brown (born 10 November 1936) is a Full Professor (Retired) at Dalhousie University. The Dalhouse University credits Murray Brown with over 50 Refereed Journals, Conference Abstracts, Proceedings, and Major Reports. Brown holds post-retirement appointments in the College of Pharmacy and the Department of Community Health and Epidemiology at Dalhousie University.
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Linda Keen Linda Jo Goldway Keen (born 9 August 1940 in New York City, New York) is a mathematician and a fellow of the American Mathematical Society. Since 1965, she has been a Professor in the Department of Mathematics and Computer Science at Lehman College of The City University of New York and a Professor of Mathematics at The Graduate Center of The City University of New York.
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John Milnor John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, K-theory and dynamical systems. Milnor is a distinguished professor at Stony Brook University and one of the five mathematicians to have won the Fields Medal, the Wolf Prize, and the Abel Prize (along with Pierre Deligne, Jean-Pierre Serre, and John G. Thompson).
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Robert Lee Moore Robert Lee Moore (November 14, 1882 – October 4, 1974) was an American mathematician who taught for many years at the University of Texas. He is known for his work in general topology and for the Moore method of teaching university mathematics.
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Howard G. Funkhouser Howard Gray Funkhouser (April 14, 1898 – Dec. 1984) was an American mathematician, historian and Associate Professor of Mathematics at the Washington and Lee University and later at the Phillips Exeter Academy, particularly known for his early work on the history of graphical methods,
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Neil Robertson (mathematician) George Neil Robertson (born November 30, 1938) is a mathematician working mainly in topological graph theory, currently a distinguished professor emeritus at the Ohio State University. He earned his B.Sc. from Brandon College in 1959, and his Ph.D. in 1969 at the University of Waterloo under his doctoral advisor William Tutte.