Borcherds, Richard E. - Department of Mathematics, University of California at Berkeley

• A Monster Lie Algebra? Chapter 30 of "Sphere packing, lattices and groups" by Conway and Sloane, and Adv.
• An automorphic form related to cubic surfaces. First draft. R. E. Borcherds.
• Problems in moonshine. Richard E. Borcherds,
• UNIVERSITY OF CALIFORNIA, BERKELEY OFFICE OF THE REGISTRAR PETITION TO CHANGE CLASS SCHEDULE
• The moduli space of Enriques surfaces and the fake monster Lie superalgebra. 27 October 1994, corrected 27 January 1995.
• A characterization of generalized Kac-Moody algebras. J. Algebra 174, 1073-1079 (1995).
• Coxeter groups, Lorentzian lattices, and K3 surfaces. 25 June, 27 July 1998 Internat. Math. Res. Notices 1998, no. 19, 10111031.
• The Gross-Kohnen-Zagier theorem in higher dimensions. 1 Oct and 31 Dec 1997, 4 March 2000.
• The Leech lattice and other lattices. This is a corrected (1999) copy of my Ph.D. thesis. I have corrected several errors,
• The Leech lattice. Proc. R. Soc. Lond. A 398, 365-376 (1985)
• Automorphism groups of Lorentzian lattices. Journal of Algebra, Vol. 111, No. 1, Nov 1987, 133153.
• Generalized Kac-Moody algebras. Journal of Algebra Vol 115, No. 2, June 1988
• Lattices like the Leech lattice. Journal of Algebra, Vol. 130, No. 1, April 1990, 219234.
• Central extensions of generalized Kac-Moody algebras. J. Algebra Vol 140, No. 2, July 1991, 330335.
• Monstrous moonshine and monstrous Lie superalgebras. Invent. Math. 109, 405-444 (1992).
• Sporadic groups and string theory. First European Congress of Mathematics, Vol. I (Paris, 1992), 411421, Progr. Math., 119, Birkhauser,
• Automorphic forms on Os+2,2(R)+ and generalized Kac-Moody algebras.
• Modular Moonshine II. 24 July 1994, corrected 19 Sept 1995 Duke Math. J. 83 (1996) no. 2, 435-459.
• A Siegel cusp form of degree 12 and weight 12. J. reine angew. Math 494 (1998) 141-153.
• Modular Moonshine III. 11 October 1994, corrected 18 Nov 1997 Duke Math. J. 93 (1998), no. 1, 129154.
• Automorphic forms with singularities on Grassmannians. 29 September 1996, corrected 29 May 1997.
• What is a vertex algebra?. Arbeitstagung talk 1997
• What is moonshine? Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, 1998).
• Quantum vertex algebras. 7 March 1999. Richard E. Borcherds,
• Math125A, Fall 2001 Course description. Propositional and Predicate Logic. Tarski's defini-
• COMPLETING THIS PETITION Print your name, student ID number,and other information as requested. Indicate only the primary section of each course (identified by"P" in
• Families of K3 surfaces. J. Algebraic Geom. 7 (1998), no. 1, 183193.
• The Cellular Structure of the Leech Lattice. R. E. Borcherds, J. H. Conway and L. Queen
• The monster Lie algebra. Adv. Math. Vol 83, No. 1, September 1990, p. 30-47.
• The fake monster formal group. 27 May, 31 Dec 1998 Duke Math J. Vol 100 No. 1 (1999), 139-165.
• Vertex algebras. 10 June 1997, corrected 19 June, 26 June, 26 September. Topological field theory, primitive forms and related topics (Kyoto, 1996), 3577,
• Introduction to the monster Lie algebra. Groups, Combinatorics, and geometry, p. 99107, edited by M. W. Liebeck and J.
• The 24-dimensional odd unimodular lattices. R. E. Borcherds.
• Renormalization and quantum field theory R. E. Borcherds
• Automorphic forms and Lie algebras. 30 Sept 1996 Richard E. Borcherds,
• Vertex algebras, Kac-Moody algebras, and the Monster. Proc Natl. Acad. Sci. USA Vol. 83, pp 3068-3071
• Reflection groups of Lorentzian lattices. 21 September 1999. Duke Math. J. 104 (2000) no. 2, 319-366.
• Reflection groups of Lorentzian lattices. 21 September 199* Duke Math. J. 104 (2000) no. 2, 319-366.
• Introduction to the monster Lie algebra. Groups, Combinatorics, and geometry, p. 99-107, edited by M. W. Liebeck an*
• Automorphic forms and Lie algebras. 30 Sept 1996 Richard E. Borcherds,*
• J. Algebra Vol 140, No. 2, July 1991, 330-335. Central extensions of generalized Kac-Moody algebras.
• The Leech lattice and other lattices. This is a corrected (1999) copy of my Ph.D. thesis. I have corrected sever*
• Automorphic forms on Os+2,2(R) and infinite products. Invent. Math. 120, p. 161-213 (1995)
• A Monster Lie Algebra? Chapter 30 of "Sphere packing, lattices and groups" by Conway and Sloane, a*
• Families of K3 surfaces Richard E. Borcherds y
• Journal of Algebra, Vol. 111, No. 1, Nov 1987, 133-153. Automorphism groups of Lorentzian lattices.
• The monster Lie algebra. Adv. Math. Vol 83, No. 1, September 1990, p. 30-47.
• A Siegel cusp form of degree 12 and weight 12. J. reine angew. Math 494 (1998) 141-153.
• Alex Barnard QUANTUM FIELD THEORY
• What is the monster. Richard E. Borcherds,
• Automorphic forms on Os+2,2(R) and infinite products. Invent. Math. 120, p. 161-213 (1995)
• The Cellular Structure of the Leech Lattice. R. E. Borcherds, J. H. Conway and L. Queen
• Quantum vertex algebras. 7 March 1999. Richard E. Borcherds, *
• Renormalization and quantum field theory R. E. Borcherds*
• Automorphic forms on Os+2,2(R)+ and generalized Kac-Moody algebras. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Z"*
• Chapter 17 The 24-dimensional odd unimodular lattices.
• Proc. R. Soc. Lond. A 398, 365-376 (1985) The Leech lattice.
• Problems in moonshine. Richard E. Borcherds, *
• What is a vertex algebra?. Arbeitstagung talk 1997
• Invent. Math. 109, 405-444 (1992). Monstrous moonshine and monstrous Lie superalgebras.
• Journal of Algebra, Vol. 130, No. 1, April 1990, 219-234. Lattices like the Leech lattice.
• The fake monster formal group. 27 May, 31 Dec 1998 Duke Math J. Vol 100 No. 1 (1999), 139-165.
• Vertex algebras, Kac-Moody algebras, and the Monster. Proc Natl. Acad. Sci. USA Vol. 83, pp 3068-3071
• What is moonshine? Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, 19*
• The Gross-Kohnen-Zagier theorem in higher dimensions. 1 Oct and 31 Dec 1997, 4 March 2000.
• An automorphic form related to cubic surfaces. First draft. 1997. R. E. Borcherds.
• Modular Moonshine III. 11 October 1994, corrected 1* *8 Nov 1997
• What is the monster. Richard E. Borcherds, *
• J. Algebra 174, 1073-1079 (1995). A characterization of generalized Kac-Moody algebras.
• Topology vol. 35 no. 3, 699-710, 1996. The moduli space of Enriques surfaces and the fake monster Lie superalgebra.
• Coxeter groups, Lorentzian lattices, and K3 surfaces. 25 June, 27 July 1998 Richard E. Borcherds, *
• Sporadic groups and string theory. Richard E. Borcherds, DPMMS, 16 Mill Lane, Cambridge, CB2 1SB, England.
• Journal of Algebra Vol 115, No. 2, June 1988 Generalized Kac-Moody algebras.
• Automorphic forms with singularities on Grassmannians. 29 September 1996, corrected 29 May 1997.
• Duke Math. J. 83 (1996) no. 2, 435-459. Modular Moonshine II. 24 July 1994, corrected 1*
• Vertex algebras. 10 June 1997, corrected 19 June, 26 June, 26 Septe* Richard E. Borcherds, *