Michael Harris (mathematician)

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Michael Howard Harris (* 1954 in Philadelphia ) is an American mathematician who deals with number theory and modular forms in the context of the Langlands program .

Harris studied at Princeton University (bachelor's degree 1973) and received his doctorate in 1977 with Barry Mazur at Harvard University ( On p-adic Representations Arising from Descent on Abelian Varieties, published in Compositio Mathematica Vol. 39, 1979, pp. 177–245, correction ibid. 2000). From 1977 he was at Brandeis University , from 1989 to 1994 as a professor. After that he was professor at the University of Paris VII , Denis Diderot. Since 2001 he has been a member of the Institut Universitaire de France. He is at the Center Mathematiques de Jussieu in Paris.

With Richard Taylor in 1998 he proved the local Langlands conjecture (that is, for local p-adic bodies).

In 1982 he was a Sloan Research Fellow . In 2006 he received the Grand Prix Sophie Germain of the French Academy of Sciences. In 2002 he was invited speaker at the ICM in Beijing (On the local Langlands correspondence).

In 2007 he received the Clay Research Award with Richard Taylor for their work on local and global Galois representation , partly in collaboration with Laurent Clozel and Nicholas Shepherd-Barron , who in the proof of the Sato -Tate conjecture for elliptic curves with non-integer j- Invariants culminated. In 2014 he was invited speaker at the ICM in Seoul (Automorphic Galois representations and the comohology of Shimura varieties). In 2016 he was elected a member of the Academia Europaea , in 2019 of the American Academy of Arts and Sciences .

Laurent Fargues is one of his PhD students .

He is a professor at Columbia University in New York .

Fonts

  • With Richard Taylor: The geometry and cohomology of some simple Shimura varieties. Annals of Mathematics Studies 151, Princeton University Press 2001 (local Langland correspondence).
  • Mathematics without apologies. Princeton University Press 2015.

Web links

Individual evidence

  1. Laudation ( Memento of the original from March 16, 2012 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.gap-system.org
  2. Michael Harris. In: Columbia University website . Retrieved August 1, 2018 .