Haynes Miller

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Haynes Robert Miller (* 1948 in Princeton , New Jersey ) is an American mathematician who studies algebraic topology .

Miller studied at Harvard and received his PhD in 1974 with John Coleman Moore at Princeton University with the thesis Some Algebraic Aspects of the Adams-Novikov Spectral Sequence . He was then assistant professor at Harvard and Northwestern University , from 1977 at the University of Washington and from 1984 professor at the University of Notre Dame . Since 1986 he has been a professor at the Massachusetts Institute of Technology (MIT). From 1992 to 1993 he was chairman of the committee for pure mathematics, from 2004 head of the Undergraduate Mathematics Committee and from 2005 MacVicar Faculty Fellow.

Miller proved the generalized Sullivan Conjecture in 1984 , independently of Jean Lannes and Gunnar Carlsson .

In 1980 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ). In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( The Sullivan conjecture and homotopical representation theory ). He is a fellow of the American Mathematical Society .


  • The Sullivan conjecture on maps from classifying spaces. In: Annals of Mathematics. Vol. 120, No. 1, 1984, ISSN  0003-486X , pp. 39-87.
  • Published in: Handbook of Homotopy Theory , CRC, Chapman and Hall 2020

Web links

Individual evidence

  1. ^ H. Gottlieb The Sullivan Conjecture , Encyclopedia of Mathematics