Mikhael Leonidovich Gromov is a Russian-French mathematician known for his work in geometry, analysis and group theory. He is a permanent member of Institut des Hautes Études Scientifiques in France and a professor of mathematics at New York University.
Complex convexity is a general term in complex geometry.
Richard Melvin Schoen is an American mathematician known for his work in differential geometry and geometric analysis. He is best known for the resolution of the Yamabe problem in 1984 and his works on harmonic maps.
In harmonic analysis in mathematics, a function of bounded mean oscillation, also known as a BMO function, is a real-valued function whose mean oscillation is bounded (finite). The space of functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same role in the theory of Hardy spaces Hp that the space L∞ of essentially bounded functions plays in the theory of Lp-spaces: it is also called John–Nirenberg space, after Fritz John and Louis Nirenberg who introduced and studied it for the first time.
Walter Rudin was an Austrian-American mathematician and professor of mathematics at the University of Wisconsin–Madison.
In mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebraic sets, i.e. real-number solutions to algebraic equations with real-number coefficients, and mappings between them.
Charles F. Dunkl is a mathematician at the University of Virginia who introduced Dunkl operators.
Mischa Cotlar was a mathematician who started his scientific career in Uruguay and worked most of his life on it in Argentina and Venezuela.
Henry Berge Helson was an American mathematician at the University of California at Berkeley who worked on analysis.
Isidore Isaac Hirschman Jr. (1922–1990) was an American mathematician, and professor at Washington University in St. Louis working on analysis.
Olof Hanner was a Swedish mathematician.
Paul Joseph Kelly was an American mathematician who worked in geometry and graph theory.
Laurent Saloff-Coste is a French mathematician whose research is in Analysis, Probability theory, and Geometric group theory. He is a professor of mathematics at Cornell University.
Friederich Ignaz Mautner was an Austrian-American mathematician, known for his research on the representation theory of groups, functional analysis, and differential geometry. He is known for Mautner's Lemma and Mautner's Phenomenon in the representation theory of Lie groups.
Frank John Forelli, Jr. was an American mathematician, specializing in the functional analysis of holomorphic functions.
Daniel Gisriel Rider, Jr. was a mathematician, specializing in harmonic analysis and Fourier analysis.
Christopher Bishop is an American mathematician on the faculty at Stony Brook University. He received his bachelor's in mathematics from Michigan State University in 1982, going on from there to spend a year at Cambridge University, receiving at Cambridge a Certificate of Advanced Study in mathematics, before entering the University of Chicago in 1983 for his doctoral studies in mathematics. As a graduate student in Chicago, his advisor, Peter Jones, took a position at Yale University, causing Bishop to spend the years 1985–87 at Yale as a visiting graduate student and programmer. Nonetheless, he received his PhD from the University of Chicago in 1987.
Peter Wai-Kwong Li is an American mathematician whose research interests include differential geometry and partial differential equations, in particular geometric analysis. After undergraduate work at California State University, Fresno, he received his Ph.D. at University of California, Berkeley under Shiing-Shen Chern in 1979. Presently he is Professor Emeritus at University of California, Irvine, where he has been located since 1991.
Oscar Carruth McGehee is an American mathematician, specializing in commutative harmonic analysis, functional analysis, and complex analysis.
The history of representation theory concerns the mathematical development of the study of objects in abstract algebra, notably groups, by describing these objects more concretely, particularly using matrices and linear algebra. In some ways, representation theory predates the mathematical objects it studies: for example, permutation groups and transformation groups were studied long before the notion of an abstract group was formalized by Arthur Cayley in 1854. Thus, in the history of algebra, there was a process in which, first, mathematical objects were abstracted, and then the more abstract algebraic objects were realized or represented in terms of the more concrete ones, using homomorphisms, actions and modules.
