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John Milnor

Index 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. [1]

64 relations: Abel Prize, American Journal of Mathematics, American Mathematical Society, Annals of Mathematics, Attractor, Barnard College, Bulletin de la Société Mathématique de France, Combinatorial topology, Differential structure, Differential topology, Dusa McDuff, Dynamical system, Egbert Brieskorn, Exotic sphere, Fary–Milnor theorem, Fellow, Fields Medal, Hauptvermutung, Henri Poincaré, Homeomorphism, Homotopy, Hypersphere, Institute for Advanced Study, Jean-Pierre Serre, John G. Thompson, John N. Mather, Johns Hopkins University Press, Jon Folkman, K-theory, Laurent C. Siebenmann, Leroy P. Steele Prize, Link (knot theory), Link group, List of things named after John Milnor, Mathematician, Mathematics, Michael Spivak, Michel Kervaire, Milnor map, Milnor number, Milnor–Thurston kneading theory, National Medal of Science, New Scientist, Notices of the American Mathematical Society, Orange, New Jersey, Orbit portrait, Paul R. Halmos – Lester R. Ford Award, Pierre Deligne, Princeton University, Princeton University Press, ..., Ralph Fox, Regular isotopy, Seven-dimensional space, Simplicial complex, Singular point of a curve, Sloan Research Fellowship, Société mathématique de France, Stony Brook University, Surgery theory, Tadatoshi Akiba, Topology, William Lowell Putnam Mathematical Competition, William Thurston, Wolf Prize. Expand index (14 more) »

Abel Prize

The Abel Prize (Abelprisen) is a Norwegian prize awarded annually by the Government of Norway to one or more outstanding mathematicians.

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American Journal of Mathematics

The American Journal of Mathematics is a bimonthly mathematics journal published by the Johns Hopkins University Press.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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Attractor

In the mathematical field of dynamical systems, an attractor is a set of numerical values toward which a system tends to evolve, for a wide variety of starting conditions of the system.

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Barnard College

Barnard College is a private women's liberal arts college in New York City, New York, United States.

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Bulletin de la Société Mathématique de France

Bulletin de la Société Mathématique de France is a mathematics journal published quarterly by Société Mathématique de France.

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Combinatorial topology

In mathematics, combinatorial topology was an older name for algebraic topology, dating from the time when topological invariants of spaces (for example the Betti numbers) were regarded as derived from combinatorial decompositions of spaces, such as decomposition into simplicial complexes.

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Differential structure

In mathematics, an n-dimensional differential structure (or differentiable structure) on a set M makes M into an n-dimensional differential manifold, which is a topological manifold with some additional structure that allows for differential calculus on the manifold.

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Differential topology

In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds.

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Dusa McDuff

Dusa McDuff FRS CorrFRSE (born 18 October 1945) is an English mathematician who works on symplectic geometry.

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Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.

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Egbert Brieskorn

Egbert Valentin Brieskorn (7 July 1936, in Rostock – 11 July 2013, in Bonn) was a German mathematician who introduced Brieskorn spheres and the Brieskorn–Grothendieck resolution.

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Exotic sphere

In differential topology, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n-sphere.

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Fary–Milnor theorem

In the mathematical theory of knots, the Fary–Milnor theorem, named after István Fáry and John Milnor, states that three-dimensional smooth curves with small total curvature must be unknotted.

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Fellow

A fellow is a member of a group (or fellowship) that work together in pursuing mutual knowledge or practice.

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Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.

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Hauptvermutung

The Hauptvermutung (German for main conjecture) of geometric topology is the conjecture that any two triangulations of a triangulable space have a common refinement, a single triangulation that is a subdivision of both of them.

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Henri Poincaré

Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.

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Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.

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Homotopy

In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.

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Hypersphere

In geometry of higher dimensions, a hypersphere is the set of points at a constant distance from a given point called its center.

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Institute for Advanced Study

The Institute for Advanced Study (IAS) in Princeton, New Jersey, in the United States, is an independent, postdoctoral research center for theoretical research and intellectual inquiry founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld.

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Jean-Pierre Serre

Jean-Pierre Serre (born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory.

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John G. Thompson

John Griggs Thompson (born October 13, 1932) is a mathematician at the University of Florida noted for his work in the field of finite groups.

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John N. Mather

John Norman Mather (June 9, 1942 – January 28, 2017) was a mathematician at Princeton University known for his work on singularity theory and Hamiltonian dynamics.

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Johns Hopkins University Press

The Johns Hopkins University Press (also referred to as JHU Press or JHUP) is the publishing division of Johns Hopkins University.

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Jon Folkman

Jon Hal Folkman (December 8, 1938 – January 23, 1969) was an American mathematician, a student of John Milnor, and a researcher at the RAND Corporation.

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K-theory

In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme.

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Laurent C. Siebenmann

Laurent Carl Siebenmann (the first name is sometimes spelled Laurence or Larry) (born 1939) is a Canadian mathematician based at the Université de Paris-Sud at Orsay, France.

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Leroy P. Steele Prize

The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics.

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Link (knot theory)

In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together.

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Link group

In knot theory, an area of mathematics, the link group of a link is an analog of the knot group of a knot.

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List of things named after John Milnor

Things named after an American mathematician John Milnor.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Michael Spivak

Michael David Spivak (born May 25, 1940)Biographical sketch in, Vol.

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Michel Kervaire

Michel André Kervaire (26 April 1927 – 19 November 2007) was a French mathematician who made significant contributions to topology and algebra.

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Milnor map

In mathematics, Milnor maps are named in honor of John Milnor, who introduced them to topology and algebraic geometry in his book Singular Points of Complex Hypersurfaces (Princeton University Press, 1968) and earlier lectures.

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Milnor number

In mathematics, and particularly singularity theory, the Milnor number, named after John Milnor, is an invariant of a function germ.

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Milnor–Thurston kneading theory

The Milnor–Thurston kneading theory is a mathematical theory which analyzes the iterates of piecewise monotone mappings of an interval into itself.

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National Medal of Science

The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and physics.

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New Scientist

New Scientist, first published on 22 November 1956, is a weekly, English-language magazine that covers all aspects of science and technology.

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Notices of the American Mathematical Society

Notices of the American Mathematical Society is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue.

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Orange, New Jersey

The City of Orange is a township in Essex County, New Jersey, United States.

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Orbit portrait

In mathematics, an orbit portrait is a combinatorial tool used in complex dynamics for understanding the behavior of one-complex dimensional quadratic maps.

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Paul R. Halmos – Lester R. Ford Award

The Paul R. Halmos – Lester R. Ford Award (formerly known as the Lester R. Ford Award) is a $1,000 prize given annually by the Mathematical Association of America for authors of articles of expository excellence published in The American Mathematical Monthly or Mathematics Magazine.

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Pierre Deligne

Pierre René, Viscount Deligne (born 3 October 1944) is a Belgian mathematician.

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Princeton University

Princeton University is a private Ivy League research university in Princeton, New Jersey.

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Princeton University Press

Princeton University Press is an independent publisher with close connections to Princeton University.

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Ralph Fox

Ralph Hartzler Fox (March 24, 1913 – December 23, 1973) was an American mathematician.

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Regular isotopy

In the mathematical subject of knot theory, regular isotopy is the equivalence relation of link diagrams that is generated by using the 2nd and 3rd Reidemeister moves only.

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Seven-dimensional space

In mathematics, a sequence of n real numbers can be understood as a location in n-dimensional space.

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Simplicial complex

In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their ''n''-dimensional counterparts (see illustration).

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Singular point of a curve

In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter.

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Sloan Research Fellowship

The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars".

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Société mathématique de France

The Société Mathématique de France (SMF) is the main professional society of French mathematicians.

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Stony Brook University

The State University of New York at Stony Brook (also known as Stony Brook University or SUNY Stony Brook) is a public sea-grant and space-grant research university in the eastern United States.

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Surgery theory

In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one finite-dimensional manifold from another in a 'controlled' way, introduced by.

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Tadatoshi Akiba

is a Japanese mathematician and politician and served as the mayor of the city of Hiroshima, Japan from 1999 to 2011.

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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William Lowell Putnam Mathematical Competition

The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities).

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William Thurston

William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.

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Wolf Prize

The Wolf Prize is an international award granted in Israel, that has been presented most years since 1978 to living scientists and artists for "achievements in the interest of mankind and friendly relations among people...

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Redirects here:

J. Milnor, J. W. Milnor, John W. Milnor, John Willard Milnor, Milnor.

References

[1] https://en.wikipedia.org/wiki/John_Milnor

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