Work
Borcherds is best known for his work connecting the theory of finite groups with other areas in mathematics. In particular he invented the notion of vertex algebras, which Igor Frenkel, James Lepowsky and Arne Meurman used to construct an infinite-dimensional graded algebra acted on by the monster group. Borcherds then used this, and methods from string theory, to prove the monstrous moonshine conjecture by Conway and Norton, relating the monster group to the coefficients of the q-expansion of the j-invariant. The result was not only a great increase in understanding of the monster group, a very large finite simple group whose structure was previously not well understood, but tied the monster to various aspects of mathematics and mathematical physics. In recent years, Borcherds has been attempting to construct quantum field theory in a mathematically rigorous manner.
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Famous quotes containing the word work:
“I pray every single second of my life; not on my knees, but with my work. My prayer is to lift woman to equality with man. Work and worship are one with me. I can not imagine a God of the universe made happy by my getting down on my knees and calling him “great.””
—Susan B. Anthony (1820–1906)
“In a world where women work three times as hard for half as much, our achievement has been denigrated, both marriage and divorce have turned against us, our motherhood has been used as an obstacle to our success, our passion as a trap, our empathy for others as an excuse to underpay us.”
—Erica Jong (20th century)
“To write the lives of the great in separating them from their works necessarily ends by above all stressing their pettiness, because it is in their work that they have put the best of themselves.”
—Simone Weil (1909–1943)