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Richard Berkeley
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#	Item
221	Central extensions of generalized Kac-Moody algebras. J. Algebra Vol 140, No. 2, July 1991, 330–335. Richard E. Borcherds, D.P.M.M.S., Cambridge University, 16 Mill Lane, Cambridge, CB2 1SB, England. The main result of Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:13 Group theory Generalized Kac–Moody algebra Kac–Moody algebra Cartan subalgebra Monster Lie algebra Weyl character formula En Cartan matrix Weight Lie algebras Abstract algebra Algebra
222	Automorphic forms with singularities on Grassmannians. 29 September 1996, corrected 29 May[removed]Richard E. Borcherds,∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. e-mail: [removed] home page: http Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:04:29 Abstract algebra Analytic number theory Elliptic functions Q-analogs Theta function Eisenstein series J-invariant Metaplectic group Rankin–Selberg method Mathematical analysis Modular forms Mathematics
223	Vertex algebras, Kac-Moody algebras, and the Monster. Proc Natl. Acad. Sci. USA Vol. 83, pp[removed]Richard E. Borcherds, Trinity College, Cambridge CB2 1TQ, England. Communicated by Walter Feit, December 13, 1985 ABST Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2002-09-30 14:04:36 Vertex operator algebra Virasoro algebra Kac–Moody algebra Monster Lie algebra Goddard–Thorn theorem Monster vertex algebra Universal enveloping algebra Weight Symmetric algebra Abstract algebra Algebra Lie algebras
224	What is a vertex algebra?. Arbeitstagung talk 1997 Richard E. Borcherds, ∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. [removed], http://www.dpmms.cam.ac.uk/˜reb The answer to the question in the Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:04:52 Algebras Lie algebras Representation theory Ring theory Algebraic structures Vertex operator algebra Associative algebra Hopf algebra Universal enveloping algebra Abstract algebra Algebra Mathematics
225	Sporadic groups and string theory. First European Congress of Mathematics, Vol. I (Paris, 1992), 411–421, Progr. Math., 119, Birkh¨ auser, Basel, 1994. Richard E. Borcherds, DPMMS, 16 Mill Lane, Cambridge, CB2 1SB, En Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:50 Monster Lie algebra Weyl character formula Kac–Moody algebra Vertex operator algebra Virasoro algebra Representation theory Lie superalgebra Monstrous moonshine Exterior algebra Abstract algebra Lie algebras Algebra
226	Quantum vertex algebras. 7 March[removed]Richard E. Borcherds, ∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:09:28 Algebras Algebraic structures Ring theory Multilinear algebra Mathematical structures Hopf algebra Formal group Von Neumann algebra Ring Abstract algebra Algebra Mathematics
227	Classification of positive definite lattices. 22 Feb 2000 Richard E. Borcherds, ∗ Mathematics department, Evans Hall #3840, University of California at Berkeley, CA Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2000-02-22 16:59:01 Lattice points Quadratic forms Lie groups Linear algebra Sporadic groups II25 1 Leech lattice Unimodular lattice Niemeier lattice Algebra Mathematics Abstract algebra
228	What is moonshine? Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, [removed]Doc. Math. 1998, Extra Vol. I, 607–615 Richard E. Borcherds, ∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, Engl Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:07:44 Lie groups Moonshine theory Conformal field theory Nonassociative algebra Monstrous moonshine Monster Lie algebra Kac–Moody algebra Vertex operator algebra Affine Lie algebra Abstract algebra Algebra Lie algebras
229	2 K E L E Y C OM P U T E R S C IE NC 30 Add to Reading List Source URL: www.cs.berkeley.edu Language: English - Date: 2004-03-09 16:52:50 Computer science Michael Stonebraker Richard M. Karp University of California Berkeley Turing Award John Canny Butler Lampson Paul K. Wright Dennis Ritchie Computing Turing Award laureates Science
230	A Hierarchical Bayesian Markovian Model for Motifs in Biopolymer Sequences Eric P. Xing, Michael I. Jordan, Richard M. Karp and Stuart Russell Computer Science Division University of California, Berkeley Add to Reading List Source URL: www.cs.berkeley.edu Language: English - Date: 2005-10-27 20:39:29 Bayesian statistics Probability Sequence motif Variational Bayesian methods Mixture model Multinomial distribution Dirichlet distribution Expectation–maximization algorithm Hierarchical Bayes model Statistics Bioinformatics Probability and statistics

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