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Michael J. Hopkins

Michael J. Hopkins
Hopkins michael.jpg
Michael J. Hopkins, 2009
Born (1958-04-18) April 18, 1958 (age 59)
Nationality American
Fields Mathematics
Institutions Harvard University
Alma mater Northwestern University
Doctoral advisor Mark Mahowald
Ioan James
Doctoral students Daniel Biss
Daniel Dugger
Jacob Lurie
Charles Rezk
Inna Zakharevich
Known for Nilpotence theorem in Mathematics Topological modular forms
Kervaire invariant problem
Notable awards Veblen Prize (2001)
NAS Award in Mathematics (2012)
Nemmers Prize (2014)
Senior Berwick Prize (2014)

Michael Jerome Hopkins (born April 18, 1958) is an American mathematician known for work in algebraic topology.

He received his Ph.D. from Northwestern University in 1984 under the direction of Mark Mahowald. In 1984 he also received his D.Phil. from the University of Oxford under the supervision of Ioan James. He has been professor of mathematics at Harvard University since 2005, after fifteen years at MIT, a few years of teaching at Princeton University, a one-year position with the University of Chicago, and a visiting lecturer position at Lehigh University. He gave invited addresses at the 1990 Winter Meeting of the American Mathematical Society in Louisville, Kentucky, at the 1994 International Congress of Mathematicians in Zurich, and was a plenary speaker at the 2002 International Congress of Mathematicians in Beijing. He presented the 1994 Everett Pitcher Lectures at Lehigh University, the 2000 Namboodiri Lectures at the University of Chicago, the 2000 Marston Morse Memorial Lectures at the Institute for Advanced Study, Princeton, the 2003 Ritt Lectures at Columbia University and the 2010 Bowen Lectures in Berkeley. In 2001 he was awarded the Oswald Veblen Prize in Geometry from the AMS for his work in homotopy theory, 2012 the NAS Award in Mathematics and 2014 the Nemmers Prize in Mathematics.


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