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Name |
Borcherds, Richard E. |
Location
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University of California, Berkeley |
Primary Field
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Mathematics |
Election Citation
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Borcherds is founder of the theory of vertex algebras - with deep ramifications in representation theory, number theory, algebraic geometry, topology, and QFT - and Fields Medal recipient for the magnificent proof of the Moonshine conjecture: Thompson series of any element in the Monster group is a modular function of genus 0. |
Research Interests
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Richard Borcherds's research interests include the "monstrous moonshine" conjectures relating sporadic simple groups and modular functions, and the connections with vertex algebras, hyperbolic reflection groups, and Kac-Moody algebras. He has also worked on automorphic forms that can be written as infinite products. |
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