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:
“We have not the motive to prepare ourselves for a “life-work” of teaching, of social work—we know that we would lay it down with hallelujah in the height of our success, to make a home for the right man. And all the time in the background of our consciousness rings the warning that perhaps the right man will never come. A great love is given to very few. Perhaps this make-shift time filler of a job is our life work after all.”
—Ruth Benedict (1887–1948)
“When I consider thy heavens, the work of thy fingers, the moon and the stars, which thou hast ordained; what is man, that thou art mindful of him? and the son of man, that thou visitest him? For thou hast made him a little lower than the angels, and hast crowned him with glory and honour.”
—Bible: Hebrew Psalms, 8:2.
“Man was kreated a little lower than the angells and has bin gittin a little lower ever sinse.” (Josh Billings, His Sayings, ch. 28, 1865)
“Isolation in creative work is an onerous thing. Better to have negative criticism than nothing at all.”
—Anton Pavlovich Chekhov (1860–1904)