Michael A. Hill

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Michael Anthony Hill (born February 12, 1980 in Alexandria , Louisiana ) is an American mathematician who studies algebraic topology .

He studied at Harvard University (bachelor's degree in 2002) and at the Massachusetts Institute of Technology , where he received his doctorate in 2006 with Michael J. Hopkins ( Computational Methods for Higher Real K-Theory with Applications to Tmf ), he was initially a post-doctoral student at Harvard University and later as Whyburn Instructor and then as Assistant Professor and from 2010 as Associate Professor at the University of Virginia . In 2015 he moved to the University of California, Los Angeles .

With Douglas Ravenel and Michael J. Hopkins he solved the problem of the Kervaire invariant 1 in 2009. The problem asks about the possible dimensions of manifolds with Kervaire invariant 1 (after Michel Kervaire ) and was a long open problem of algebraic topology. He dealt with homotopy theory and modular forms in topology.

In 2014 he was invited speaker at the ICM in Seoul ( On the non-existence of elements of Kervaire invariant one ).

Web links

Individual evidence

  1. ^ Michael A. Hill in the Mathematics Genealogy Project (English) Template: MathGenealogyProject / Maintenance / id used. The dissertation is online .
  2. ^ Hill, Hopkins, Ravenel: On the non-existence of elements of kervaire invariant 1. Preprint