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:
“No work of art ever puts forward views. Views belong to people who are not artists.”
—Oscar Wilde (1854–1900)
“When a work appears to be ahead of its time, it is only the time that is behind the work.”
—Jean Cocteau (1889–1963)
“If there is a special Hell for writers it would be in the forced contemplation of their own works, with all the misconceptions, the omissions, the failures that any finished work of art implies.”
—John Dos Passos (1896–1970)