Work
One of the two papers containing the published proof of Fermat's Last Theorem is a joint work of Taylor and Andrew Wiles.
In subsequent work, Taylor (along with Michael Harris) proved the local Langlands conjectures for GL(n) over a number field. A simpler proof was suggested almost at the same time by Guy Henniart.
Taylor, together with Christophe Breuil, Brian Conrad, and Fred Diamond, completed the proof of the Taniyama–Shimura conjecture, by performing quite heavy technical computations in the case of additive reduction.
Recently, Taylor, following the ideas of Michael Harris and building on his joint work with Laurent Clozel, Michael Harris, and Nick Shepherd-Barron, has announced a proof of the Sato–Tate conjecture, for elliptic curves with non-integral j-invariant. This partial proof of the Sato–Tate conjecture uses Wiles's theorem about modularity of semistable elliptic curves.
Read more about this topic: Richard Taylor (mathematician)
Famous quotes containing the word work:
“It is impossible to think of a man of any actual force and originality, universally recognized as having those qualities, who spent his whole life appraising and describing the work of other men.”
—H.L. (Henry Lewis)
“[T]he judicious reader ought to know what the chief character in any work of the imagination will naturally perform, according to the situation he is thrown into, as well as doth the author himself.”
—Sarah Fielding (1710–1768)
“Bless you, of course you’re keeping me from work,
But the thing of it is, I need to be kept.
There’s work enough to do there’s always that;
But behind’s behind. The worst that you can do
Is set me back a little more behind.
I shan’t catch up in this world, anyway.
I’d rather you’d not go unless you must.”
—Robert Frost (1874–1963)