Mark Mahowald

Mark Edward Mahowald ( born December 1, 1931 † July 20, 2013 ) was an American mathematician who with algebraic topology, especially homotopy theory, dealt.

Career

Mahowald received his doctorate in 1955 at the University of Minnesota in Minneapolis with Bernard Gelbaum (Measure in Groups) and was from the early 1960s, Professor at Syracuse University and then (from about 1967) at Northwestern University, where he is now professor emeritus.

Mahowald worked among other things on the homotopy groups of spheres. He constructed manifolds with Kervaire invariant 1 in dimension 30 ( with Tangora ) and in dimension 62 ( with Barratt and Jones).

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Toward a global understanding of). He was a Fellow of the American Mathematical Society.

His doctoral counts Michael J. Hopkins.

Writings

• With Tangora: Some differentials in the Adams spectral sequence. Topology 6 (3): 349-369.
• The image of J in the EHP sequence. Ann. of Math ( 2) 116 (1982 ), no 1, 65-112.
• With Barratt, Jones: Relations Amongst Toda brackets and the Kervaire invariant in dimension 62 Journal of the London Mathematical Society. 2 30 (3): 533-550.
• With Arone: The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres. Invent. Math 135 (1999), no 3, 743-788.
• With M. Barratt (Editor): " Geometric Applications of Homotopy Theory" (conference Evanston 1977), Springer 1978
• With Stewart Priddy (Editor): " Algebraic Topology ", AMS 1989 ( International Conference Northwestern University, 1988)
• With Stewart Priddy (Editor): " Homotopy theory via algebraic geometry and group representations ", AMS 1998 ( Conference Northwestern University 1997)
• Toward a global understanding of π * (Sn ). Proceedings of the International Congress of Mathematicians, Vol II (Berlin, 1998). Doc. Math 1998, Extra Vol II, 465-472