The Algebraist

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S S Khare, On Abel Prize 2011 to John Willard Milnor: a brief description of his significant work, Math. Student 82 (1- 4) (2013), 247- 279. M Spivak, A brief report of John Milnor's brief excursions into differential geometry, in Topological methods in modern mathematics (Houston, TX, 1993), 31- 43. He was promoted to professor in 1960 then, in 1962, Milnor was appointed to the Henry Putman chair.

The Algebraist by Iain M. Banks | Goodreads The Algebraist by Iain M. Banks | Goodreads

In the 1950s Milnor did a substantial amount of work on algebraic topology which is discussed in [ 18 ]. He constructed the classifying space of a topological group and gave a geometric realisation of a semi-simplicial complex. He also studied the Steenrod algebra and its dual, investigated the structure of Hopf algebras, and studied characteristic classes and their relation to mathematical physics. The first time that I developed a particular interest in mathematics was as a freshman at Princeton University. I had been rather socially maladjusted and did not have too many friends, but when I came to Princeton, I found myself very much at home in the atmosphere of the mathematics common room. People were chatting about mathematics, playing games, and one could come by at any time and just relax. I found the lectures very interesting. I felt more at home there than I ever had before and I have stayed with mathematics ever since.

For the kind of algebraic structure, see Algebra over a field. For other uses, see Algebra (disambiguation).

The Algebraist - Wikiwand

The quadratic formula expresses the solution of the equation ax 2 + bx + c = 0, where a is not zero, in terms of its coefficients a, b and c. Sometimes both meanings exist for the same qualifier, as in the sentence: Commutative algebra is the study of commutative rings, which are commutative algebras over the integers. Milnor has received many awards and honours for his extraordinarily important contributions. He received the National Medal of Science in 1967 and was elected a member of the National Academy of Sciences, the American Academy of Arts and Science. He is a member of the American Philosophy Society and has played a major role in the American Mathematical Society. In August 1982 Milnor received the Leroy P Steele Prize:- J Hubbard, Review: Dynamics in one complex variable, by John Willard Milnor, Bull. Amer. Math. Soc. (N.S. ) 38 (4) (2001), 495- 498. It is evident now that low-dimensional dynamics, to a large extent initiated by Milnor's work, is a fundamental part of general dynamical systems theory. Milnor cast his eye on dynamical systems theory in the mid- 1970s. By that time the Smale program in dynamics had been completed. Milnor's approach was to start over from the very beginning, looking at the simplest nontrivial families of maps. The first choice, one-dimensional dynamics, became the subject of his joint paper with Thurston. Even the case of a unimodal map, that is, one with a single critical point, turns out to be extremely rich. This work may be compared with Poincaré's work on circle diffeomorphisms, which 100 years before had inaugurated the qualitative theory of dynamical systems. Milnor's work has opened several new directions in this field, and has given us many basic concepts, challenging problems and nice theorems.

J Milnor, Growing up in the old Fine Hall, in Prospects in Mathematics (Amer. Math. Soc., Providence, RI, 1999), 1- 11,