Michael Harris (mathematician)
Encyclopedia
Michael Howard Harris is an American
mathematician
. He made notable contributions to the Langlands program
, for which he (alongside Richard Taylor
) won the 2007 Clay Research Award
. In particular, he (jointly with Taylor), proved the local Langlands conjecture for GL(n)
over a p-adic local field
in , and was part of the team that proved the Sato–Tate conjecture.
Harris attained his doctorate from Harvard University
in 1977, under supervision of Barry Mazur
. His thesis, entitled "On p-Adic Representations Arising from Descent on Abelian Varieties", was later published in Compositio Mathematica
.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
. He made notable contributions to the Langlands program
Langlands program
The Langlands program is a web of far-reaching and influential conjectures that relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. It was proposed by ....
, for which he (alongside Richard Taylor
Richard Taylor (mathematician)
-External links:**...
) won the 2007 Clay Research Award
Clay Research Award
The Clay Research Award is given annually by the Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research...
. In particular, he (jointly with Taylor), proved the local Langlands conjecture for GL(n)
General linear group
In mathematics, the general linear group of degree n is the set of n×n invertible matrices, together with the operation of ordinary matrix multiplication. This forms a group, because the product of two invertible matrices is again invertible, and the inverse of an invertible matrix is invertible...
over a p-adic local field
Local field
In mathematics, a local field is a special type of field that is a locally compact topological field with respect to a non-discrete topology.Given such a field, an absolute value can be defined on it. There are two basic types of local field: those in which the absolute value is archimedean and...
in , and was part of the team that proved the Sato–Tate conjecture.
Harris attained his doctorate from Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
in 1977, under supervision of Barry Mazur
Barry Mazur
-Life:Born in New York City, Mazur attended the Bronx High School of Science and MIT, although he did not graduate from the latter on account of failing a then-present ROTC requirement. Regardless, he was accepted for graduate school and received his Ph.D. from Princeton University in 1959,...
. His thesis, entitled "On p-Adic Representations Arising from Descent on Abelian Varieties", was later published in Compositio Mathematica
Compositio Mathematica
Compositio Mathematica is a bimonthly peer-reviewed mathematics journal established by L.E.J. Brouwer in 1935. It is published by Cambridge University Press. According to the Journal Citation Reports, Compositio had a 2010 impact factor of 0.941, ranking it 54th among 279 journals in the category...
.