Sir Michael Atiyah was a British-Lebanese mathematician, a Fields’ medalist, and Abel prize winner (with Isadore Singer). He was professor of mathematics at Edinburgh University.
On moment maps and equivariant de Rham cohomology
On group characters and group cohomology of finite groups:
On the Atiyah-Hirzebruch spectral sequence
On KR-theory
On equivariant K-theory and the Atiyah-Segal completion theorem:
On instantons in Yang-Mills theory:
On moduli spaces of monopoles:
On skyrmions:
On The Unreasonable Effectiveness of Physics in the Mathematical Sciences:
On patterns in the characteristic classes (Chern classes) of complex surfaces, together with some speculations about an anlogy with atomic number of atomic nuclei:
The aim of theory really is, to a great extent, that of systematically organizing past experience in such a way that the next generation, our students and their students and so on, will be able to absorb the essential aspects in as painless a way as possible, and this is the only way in which you can go on cumulatively building up any kind of scientific activity without eventually coming to a dead end.
(M.F. Atiyah, “How research is carried out”, Bull. IMA., 10:232–234, 1974)
…many more…
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