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:
“Work is an essential part of being alive. Your work is your identity. It tells you who you are. It’s gotten so abstract. People don’t work for the sake of working. They’re working for a car, a new house, or a vacation. It’s not the work itself that’s important to them. There’s such a joy in doing work well.”
—Kay Stepkin, U.S. baker. As quoted in Working, book 8, by Studs Terkel (1973)
“There is work together
A Church for all
And a job for each
Every man to his work.”
—T.S. (Thomas Stearns)
“When you see what some girls marry, you realize how they must hate to work for a living.”
—Helen Rowland (1875–1950)