Edit Profile (opens in new tab) Mason, Geoffrey Co-Author Distance Author ID: mason.geoffrey Published as: Mason, Geoffrey; Mason, G. Homepage: http://www.math.ucsc.edu/faculty-research/singleton.php?&singleton=true&cruz_id=... External Links: MGP · ResearchGate Documents Indexed: 146 Publications since 1975, including 7 Additional arXiv Preprints 4 Contributions as Editor Biographic References: 2 Publications Co-Authors: 41 Co-Authors with 103 Joint Publications 580 Co-Co-Authors all top 5 Co-Authors 45 single-authored 36 Dong, Chongying 15 Li, Haisheng 10 Franc, Cameron 10 Tuite, Michael P. 9 Knopp, Marvin Isadore 6 Ng, Siu-Hung 4 Yamskulna, Gaywalee 3 Alperin, Jonathan L. 3 Höhn, Gerald 3 Krauel, Matthew 3 Nagatomo, Kiyokazu 2 Foulser, David A. 2 Kohnen, Winfried 2 Montgomery, Susan 2 Norton, Simon Phillips 2 Penkov, Ivan B. 2 Sakai, Yuichi 2 Walker, Michael 2 Wolf, Joseph Albert 1 Barriga, Oscar E. 1 Barron, Katrina 1 Cooperstein, Bruce N. 1 Diamantis, Nikolaos 1 Eastman, Mark 1 Gannon, Terry 1 Goff, Chris 1 Goff, Christopher D. 1 Iovanov, Miodrag-Cristian 1 Kashina, Yevgenia 1 Klinger, Kenneth 1 Laber, Rob 1 Lin, Zongzhu 1 Marks, Christopher 1 Mertens, Michael Helmut 1 Montague, P. S. 1 Ostrom, Theodore G. 1 O’Sullivan, Cormac 1 Shult, Ernest E. 1 Smith, Stephen D. 1 Zhu, Yongchang 1 Zuevsky, Alexander all top 5 Serials 23 Journal of Algebra 10 Communications in Mathematical Physics 5 IMRN. International Mathematics Research Notices 5 The Ramanujan Journal 4 International Journal of Number Theory 3 Bulletin of the London Mathematical Society 3 Geometriae Dedicata 3 Journal of Number Theory 3 Proceedings of the American Mathematical Society 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Acta Arithmetica 2 Advances in Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Developments in Mathematics 2 Communications in Number Theory and Physics 1 IEEE Transactions on Information Theory 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Pure and Applied Algebra 1 European Journal of Combinatorics 1 Rendiconti del Seminario Matemàtico di Brescia 1 Notas de la Sociedad de Matemática de Chile 1 CWI Newsletter 1 International Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Mathematical Research Letters 1 Algebras and Representation Theory 1 Contemporary Mathematics 1 Proceedings of Symposia in Pure Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Algebra & Number Theory 1 Research in Number Theory all top 5 Fields 71 Nonassociative rings and algebras (17-XX) 54 Number theory (11-XX) 53 Group theory and generalizations (20-XX) 24 Quantum theory (81-XX) 14 Geometry (51-XX) 13 Associative rings and algebras (16-XX) 8 Category theory; homological algebra (18-XX) 5 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 4 Special functions (33-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 2 Topological groups, Lie groups (22-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 2,262 times in 1,003 Documents Cited by ▼ Year ▼ Modular-invariance of trace functions in orbifold theory and generalized Moonshine. Zbl 1061.17025 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 203 2000 Twisted representations of vertex operator algebras. Zbl 0890.17029 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 182 1998 On quantum Galois theory. Zbl 0890.17031 Dong, Chongying; Mason, Geoffrey 153 1997 Regularity of rational vertex operator algebras. Zbl 0902.17014 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 137 1997 Discrete series of the Virasoro algebra and the moonshine module. Zbl 0813.17019 Dong, Chongying; Mason, Geoffrey; Zhu, Yongchang 95 1994 Vertex operator algebras and associative algebras. Zbl 0911.17017 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 74 1998 Simple currents and extensions of vertex operator algebras. Zbl 0873.17027 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 72 1996 Rational vertex operator algebras and the effective central charge. Zbl 1106.17032 Dong, Chongying; Mason, Geoffrey 70 2004 Compact automorphism groups of vertex operator algebras. Zbl 0873.17028 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 58 1996 Generalized modular forms. Zbl 1074.11025 Knopp, Marvin; Mason, Geoffrey 41 2003 Vector-valued modular forms and linear differential operators. Zbl 1197.11054 Mason, Geoffrey 40 2007 Twisted sectors for tensor product vertex operator algebras associated to permutation groups. Zbl 1073.17008 Barron, Katrina; Dong, Chongying; Mason, Geoffrey 40 2002 Holomorphic vertex operator algebras of small central charge. Zbl 1100.17010 Dong, Chongying; Mason, Geoffrey 39 2004 Vector-valued modular forms and Poincaré series. Zbl 1145.11309 Knopp, Marvin; Mason, Geoffrey 39 2004 Integrability of \(C_2\)-cofinite vertex operator algebras. Zbl 1106.17033 Dong, Chongying; Mason, Geoffrey 38 2006 On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020 Knopp, Marvin; Mason, Geoffrey 36 2003 Twisted representations of vertex operator algebras and associative algebras. Zbl 0916.17023 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 34 1998 Associative subalgebras of the Griess algebra and related topics. Zbl 0946.17011 Dong, C.; Li, H.; Mason, G.; Norton, S. P. 34 1998 Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064 Franc, Cameron; Mason, Geoffrey 33 2016 Vertex Lie algebras, vertex Poisson algebras and vertex algebras. Zbl 1038.17021 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 28 2002 Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras. Zbl 1100.16033 Mason, Geoffrey; Ng, Siu-Hung 27 2005 Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras. Zbl 1012.16040 Kashina, Y.; Mason, G.; Montgomery, S. 27 2002 Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\). Zbl 0873.46035 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 25 1997 Nonabelian orbifolds and the boson-fermion correspondence. Zbl 0808.17019 Dong, Chongying; Mason, Geoffrey 24 1994 Structure of the module of vector-valued modular forms. Zbl 1221.11134 Marks, Christopher; Mason, Geoffrey 24 2010 Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds. Zbl 1211.17026 Mason, Geoffrey; Tuite, Michael P.; Zuevsky, Alexander 21 2008 The quantum double of a finite group and its role in conformal field theory. Zbl 0856.20005 Mason, Geoffrey 21 1995 Group cohomology and gauge equivalence of some twisted quantum doubles. Zbl 0968.57030 Mason, Geoffrey; Ng, Siu-Hung 20 2001 Quantum Galois theory for compact Lie groups. Zbl 0929.17031 Dong, Chongying; Mason, Geoffrey 20 1999 On genus two Riemann surfaces formed from sewn tori. Zbl 1116.30027 Mason, Geoffrey; Tuite, Michael P. 19 2007 2-dimensional vector-valued modular forms. Zbl 1233.11043 Mason, Geoffrey 19 2008 Fourier coefficients of vector-valued modular forms of dimension 2. Zbl 1302.11027 Franc, Cameron; Mason, Geoffrey 18 2014 Vertex operators and modular forms. Zbl 1231.17021 Mason, Geoffrey; Tuite, Michael 17 2010 Logarithmic vector-valued modular forms. Zbl 1253.11053 Knopp, Marvin; Mason, Geoffrey 17 2011 Shifted vertex operator algebras. Zbl 1141.17020 Dong, Chongying; Mason, Geoffrey 17 2006 On generalized modular forms and their applications. Zbl 1223.11051 Kohnen, Winfried; Mason, Geoffrey 17 2008 The 290 fixed-point sublattices of the Leech lattice. Zbl 1360.11078 Höhn, Gerald; Mason, Geoffrey 17 2016 Torus chiral \(n\)-point functions for free boson and lattice vertex operator algebras. Zbl 1020.17020 Mason, Geoffrey; Tuite, Michael P. 16 2003 Leibniz algebras and Lie algebras. Zbl 1376.17004 Mason, Geoffrey; Yamskulna, Gaywalee 16 2013 Vertex operator algebras and weak Jacobi forms. Zbl 1293.17035 Krauel, Matthew; Mason, Geoffrey 15 2012 Free bosonic vertex operator algebras on genus two Riemann surfaces. I. Zbl 1226.17024 Mason, Geoffrey; Tuite, Michael P. 15 2010 On the gauge equivalence of twisted quantum doubles of elementary Abelian and extra-special 2-groups. Zbl 1171.16021 Goff, Christopher; Mason, Geoffrey; Ng, Siu-Hung 14 2007 Lattice subalgebras of strongly regular vertex operator algebras. Zbl 1344.17022 Mason, Geoffrey 14 2014 Finite groups and Hecke operators. Zbl 0636.10021 Mason, Geoffrey 12 1989 \(L\)-functions of second-order cusp forms. Zbl 1198.11048 Diamantis, N.; Knopp, M.; Mason, G.; O’Sullivan, C. 12 2006 Some translation planes of order \(p^ 2\) and of extra-special type. Zbl 0566.51020 Mason, Geoffrey; Ostrom, T. G. 11 1985 Monstrous moonshine of higher weight. Zbl 0985.17017 Dong, Chongying; Mason, Geoffrey 11 2000 The construction of the moonshine module as \(\mathbb{Z}_ p\)-orbifold. Zbl 0808.17014 Dong, Chongying; Mason, Geoffrey 11 1994 Vertex operator algebras of rank 2: the Mathur-Mukhi-Sen theorem revisited. Zbl 1481.17050 Mason, Geoffrey; Nagatomo, Kiyokazu; Sakai, Yuichi 11 2021 The radical of a vertex operator algebra. Zbl 0946.17010 Dong, C.; Li, H.; Mason, G.; Montague, P. S. 10 1998 Certain associative algebras similar to \(U(sl_ 2)\) and Zhu’s algebra \(A(V_ L)\). Zbl 0890.17030 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 10 1997 Three-dimensional imprimitive representations of the modular group and their associated modular forms. Zbl 1335.11034 Franc, Cameron; Mason, Geoffrey 10 2016 Classification of some vertex operator algebras of rank 3. Zbl 1515.17037 Franc, Cameron; Mason, Geoffrey 10 2020 Finite groups and modular functions (with an appendix by S. P. Norton). Zbl 0642.10025 Mason, Geoffrey 9 1987 Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras. Zbl 0990.17022 Dong, Chongying; Mason, Geoffrey; Nagatomo, Kiyokazu 9 2001 On the Fourier coefficients of 2-dimensional vector-valued modular forms. Zbl 1276.11064 Mason, Geoffrey 9 2012 Two theorems on groups of characteristic 2-type. Zbl 0342.20006 Mason, Geoffrey 9 1975 Centralizers of \(p\)-groups in groups of characteristic 2, \(p\)-type. Zbl 0325.20011 Klinger, Kenneth; Mason, Geoffrey 9 1975 Minimal 2-local geometries for the Held and Rudvalis sporadic groups. Zbl 0501.20015 Mason, Geoffrey; Smith, Stephen D. 8 1982 Frame-shapes and rational characters of finite groups. Zbl 0548.20005 Mason, Geoffrey 8 1984 Some twisted sectors for the moonshine module. Zbl 0844.17019 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 8 1996 Vertex operator algebras and moonshine: A survey. Zbl 0861.17018 Dong, Chongying; Mason, Geoffrey 8 1996 Free bosonic vertex operator algebras on genus two Riemann surfaces. II. Zbl 1329.17027 Mason, Geoffrey; Tuite, Michael P. 8 2014 \(FSZ\)-groups and Frobenius-Schur indicators of quantum doubles. Zbl 1335.16017 Iovanov, M.; Mason, G.; Montgomery, S. 8 2014 Vertex rings and their Pierce bundles. Zbl 1437.17016 Mason, Geoffrey 8 2018 On a system of elliptic modular forms attached to the large Mathieu group. Zbl 0709.11033 Mason, Geoffrey 7 1990 On the structure of modules of vector-valued modular forms. Zbl 1457.11033 Franc, Cameron; Mason, Geoffrey 7 2018 On vertex operator algebras as \(sl_ 2\)-modules. Zbl 0868.17020 Dong, Chongying; Lin, Zongzhu; Mason, Geoffrey 6 1996 Some translation planes of order \(7^ 2\) which admit \(SL_ 2(9)\). Zbl 0567.51006 Mason, Geoffrey 6 1985 Transformation laws for theta functions. Zbl 1002.11038 Dong, Chongying; Mason, Geoffrey 6 2001 \(M_{24}\) and certain automorphic forms. Zbl 0578.10029 Mason, Geoffrey 6 1985 The Klein correspondence and the ubiquity of certain translation planes. Zbl 0593.51006 Mason, G.; Shult, E. E. 6 1986 Hom functor and the associativity of tensor products of modules for vertex operator algebras. Zbl 0881.17027 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 6 1997 Jacobi trace functions in the theory of vertex operator algebras. Zbl 1320.17017 Krauel, Matthew; Mason, Geoffrey 6 2015 On unbounded denominators and hypergeometric series. Zbl 1454.11082 Franc, Cameron; Gannon, Terry; Mason, Geoffrey 6 2018 Logarithmic vector-valued modular forms and polynomial-growth estimates of their Fourier coefficients. Zbl 1287.11056 Knopp, Marvin; Mason, Geoffrey 6 2012 On the canonical decomposition of generalized modular functions. Zbl 1275.11066 Kohnen, Winfried; Mason, Geoffrey 5 2012 Parabolic generalized modular forms and their characters. Zbl 1236.11054 Knopp, Marvin; Mason, Geoffrey 5 2009 The Santa Cruz Conference on Finite Groups. (Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society held at the University of California, Santa Cruz, California, June 25 - July 20, 1979). Zbl 0443.00007 5 1980 Constructions of vector-valued modular forms of rank four and level one. Zbl 1469.11070 Franc, Cameron; Mason, Geoffrey 5 2020 Finite groups of symplectic automorphisms of Hyperkähler manifolds of type \(K3\). Zbl 1425.53053 Höhn, Gerald; Mason, Geoffrey 5 2019 Chiral algebras and partition functions. Zbl 1141.82003 Mason, Geoffrey; Tuite, Michael P. 4 2007 \(G\)-elliptic systems and the genus zero problem for \(M_{24}\). Zbl 0781.20013 Mason, Geoffrey 4 1991 Reed-Muller codes, the fourth cohomology group of a finite group, and the \(\beta\)-invariant. Zbl 1181.20045 Mason, Geoffrey 3 2007 Local and semilocal vertex operator algebras. Zbl 1137.17313 Dong, Chongying; Mason, Geoffrey 3 2004 A characterization of SL(3,3). I. Zbl 0335.20007 Mason, Geoffrey 3 1976 Some applications of quasi-invertible characters. Zbl 0588.20008 Mason, Geoffrey 3 1986 Finite groups of order \(2^a3^b17^c\). I. Zbl 0366.20008 Mason, Geoffrey 3 1976 A characterization of SL(3, 3). II. Zbl 0374.20018 Mason, Geoffrey 3 1976 On simple modules for \(\text{SL}(2,q)\). Zbl 0820.20016 Alperin, J. L.; Mason, Geoffrey 3 1993 An orbifold theory of genus zero associated to the sporadic group \(M_{24}\). Zbl 0835.20027 Dong, Chongying; Mason, Geoffrey 3 1994 Symplectic automorphisms of K3-surfaces. (After S. Mukai and V. V. Nikulin). Zbl 0647.14023 Mason, Geoffrey 2 1986 Orthogonal geometries over GF(2) and actions of extra-special 2-groups on translation planes. Zbl 0537.51013 Mason, Geoffrey 2 1983 \(N=2\) and \(N=4\) subalgebras of super vertex operator algebras. Zbl 1425.17042 Mason, Geoffrey; Tuite, Michael; Yamskulna, Gaywalee 2 2018 The radical of a vertex operator algebra associated to a module. Zbl 0985.17018 Dong, Chongying; Mason, Geoffrey 2 2001 Characterizing Chevalley groups of rank two and characteristic two by their Sylow 2-subgroups. I. Zbl 0329.20006 Mason, Geoffrey 2 1975 Quasithin groups. Zbl 0458.20013 Mason, Geoffrey 2 1980 Partial Steinberg modules for finite groups of Lie type. Zbl 0820.20017 Alperin, J. L.; Mason, Geoffrey 2 1993 Cleft extensions and quotients of twisted quantum doubles. Zbl 1320.16017 Mason, Geoffrey; Ng, Siu-Hung 2 2014 Character vectors of strongly regular vertex operator algebras. Zbl 1521.17075 Franc, Cameron; Mason, Geoffrey 2 2022 Character vectors of strongly regular vertex operator algebras. Zbl 1521.17075 Franc, Cameron; Mason, Geoffrey 2 2022 Vertex operator algebras of rank 2: the Mathur-Mukhi-Sen theorem revisited. Zbl 1481.17050 Mason, Geoffrey; Nagatomo, Kiyokazu; Sakai, Yuichi 11 2021 Classification of some vertex operator algebras of rank 3. Zbl 1515.17037 Franc, Cameron; Mason, Geoffrey 10 2020 Constructions of vector-valued modular forms of rank four and level one. Zbl 1469.11070 Franc, Cameron; Mason, Geoffrey 5 2020 Vertex operator algebras with central charge 8 and 16. Zbl 1479.17056 Nagatomo, Kiyokazu; Mason, Geoffrey; Sakai, Yuichi 2 2020 Five not-so-easy pieces: open problems about vertex rings. Zbl 1479.17052 Mason, Geoffrey 2 2020 Finite groups of symplectic automorphisms of Hyperkähler manifolds of type \(K3\). Zbl 1425.53053 Höhn, Gerald; Mason, Geoffrey 5 2019 Generalized twisted quantum doubles of a finite group and rational orbifolds. Zbl 1466.16038 Mason, Geoffrey; Ng, Siu-Hung 2 2019 A brief history of the positivity conjecture in tensor category theory. Zbl 1418.18004 Mason, Geoffrey 1 2019 Vertex rings and their Pierce bundles. Zbl 1437.17016 Mason, Geoffrey 8 2018 On the structure of modules of vector-valued modular forms. Zbl 1457.11033 Franc, Cameron; Mason, Geoffrey 7 2018 On unbounded denominators and hypergeometric series. Zbl 1454.11082 Franc, Cameron; Gannon, Terry; Mason, Geoffrey 6 2018 \(N=2\) and \(N=4\) subalgebras of super vertex operator algebras. Zbl 1425.17042 Mason, Geoffrey; Tuite, Michael; Yamskulna, Gaywalee 2 2018 Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064 Franc, Cameron; Mason, Geoffrey 33 2016 The 290 fixed-point sublattices of the Leech lattice. Zbl 1360.11078 Höhn, Gerald; Mason, Geoffrey 17 2016 Three-dimensional imprimitive representations of the modular group and their associated modular forms. Zbl 1335.11034 Franc, Cameron; Mason, Geoffrey 10 2016 Jacobi trace functions in the theory of vertex operator algebras. Zbl 1320.17017 Krauel, Matthew; Mason, Geoffrey 6 2015 Fourier coefficients of vector-valued modular forms of dimension 2. Zbl 1302.11027 Franc, Cameron; Mason, Geoffrey 18 2014 Lattice subalgebras of strongly regular vertex operator algebras. Zbl 1344.17022 Mason, Geoffrey 14 2014 Free bosonic vertex operator algebras on genus two Riemann surfaces. II. Zbl 1329.17027 Mason, Geoffrey; Tuite, Michael P. 8 2014 \(FSZ\)-groups and Frobenius-Schur indicators of quantum doubles. Zbl 1335.16017 Iovanov, M.; Mason, G.; Montgomery, S. 8 2014 Cleft extensions and quotients of twisted quantum doubles. Zbl 1320.16017 Mason, Geoffrey; Ng, Siu-Hung 2 2014 \(\mathbb{C}\)-graded vertex algebras and conformal flow. Zbl 1318.17012 Laber, Rob; Mason, Geoffrey 2 2014 On the structure of \(\mathbb{N}\)-graded vertex operator algebras. Zbl 1391.17025 Mason, Geoffrey; Yamskulna, Gaywalee 1 2014 Leibniz algebras and Lie algebras. Zbl 1376.17004 Mason, Geoffrey; Yamskulna, Gaywalee 16 2013 Vector-valued modular forms with an unnatural boundary. Zbl 1321.11048 Knopp, Marvin; Mason, Geoffrey 2 2013 Vertex operator algebras and weak Jacobi forms. Zbl 1293.17035 Krauel, Matthew; Mason, Geoffrey 15 2012 On the Fourier coefficients of 2-dimensional vector-valued modular forms. Zbl 1276.11064 Mason, Geoffrey 9 2012 Logarithmic vector-valued modular forms and polynomial-growth estimates of their Fourier coefficients. Zbl 1287.11056 Knopp, Marvin; Mason, Geoffrey 6 2012 On the canonical decomposition of generalized modular functions. Zbl 1275.11066 Kohnen, Winfried; Mason, Geoffrey 5 2012 Logarithmic vector-valued modular forms. Zbl 1253.11053 Knopp, Marvin; Mason, Geoffrey 17 2011 Structure of the module of vector-valued modular forms. Zbl 1221.11134 Marks, Christopher; Mason, Geoffrey 24 2010 Vertex operators and modular forms. Zbl 1231.17021 Mason, Geoffrey; Tuite, Michael 17 2010 Free bosonic vertex operator algebras on genus two Riemann surfaces. I. Zbl 1226.17024 Mason, Geoffrey; Tuite, Michael P. 15 2010 Parabolic generalized modular forms and their characters. Zbl 1236.11054 Knopp, Marvin; Mason, Geoffrey 5 2009 Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds. Zbl 1211.17026 Mason, Geoffrey; Tuite, Michael P.; Zuevsky, Alexander 21 2008 2-dimensional vector-valued modular forms. Zbl 1233.11043 Mason, Geoffrey 19 2008 On generalized modular forms and their applications. Zbl 1223.11051 Kohnen, Winfried; Mason, Geoffrey 17 2008 Vector-valued modular forms and linear differential operators. Zbl 1197.11054 Mason, Geoffrey 40 2007 On genus two Riemann surfaces formed from sewn tori. Zbl 1116.30027 Mason, Geoffrey; Tuite, Michael P. 19 2007 On the gauge equivalence of twisted quantum doubles of elementary Abelian and extra-special 2-groups. Zbl 1171.16021 Goff, Christopher; Mason, Geoffrey; Ng, Siu-Hung 14 2007 Chiral algebras and partition functions. Zbl 1141.82003 Mason, Geoffrey; Tuite, Michael P. 4 2007 Reed-Muller codes, the fourth cohomology group of a finite group, and the \(\beta\)-invariant. Zbl 1181.20045 Mason, Geoffrey 3 2007 Integrability of \(C_2\)-cofinite vertex operator algebras. Zbl 1106.17033 Dong, Chongying; Mason, Geoffrey 38 2006 Shifted vertex operator algebras. Zbl 1141.17020 Dong, Chongying; Mason, Geoffrey 17 2006 \(L\)-functions of second-order cusp forms. Zbl 1198.11048 Diamantis, N.; Knopp, M.; Mason, G.; O’Sullivan, C. 12 2006 Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras. Zbl 1100.16033 Mason, Geoffrey; Ng, Siu-Hung 27 2005 Rational vertex operator algebras and the effective central charge. Zbl 1106.17032 Dong, Chongying; Mason, Geoffrey 70 2004 Holomorphic vertex operator algebras of small central charge. Zbl 1100.17010 Dong, Chongying; Mason, Geoffrey 39 2004 Vector-valued modular forms and Poincaré series. Zbl 1145.11309 Knopp, Marvin; Mason, Geoffrey 39 2004 Local and semilocal vertex operator algebras. Zbl 1137.17313 Dong, Chongying; Mason, Geoffrey 3 2004 Generalized modular forms. Zbl 1074.11025 Knopp, Marvin; Mason, Geoffrey 41 2003 On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020 Knopp, Marvin; Mason, Geoffrey 36 2003 Torus chiral \(n\)-point functions for free boson and lattice vertex operator algebras. Zbl 1020.17020 Mason, Geoffrey; Tuite, Michael P. 16 2003 Twisted sectors for tensor product vertex operator algebras associated to permutation groups. Zbl 1073.17008 Barron, Katrina; Dong, Chongying; Mason, Geoffrey 40 2002 Vertex Lie algebras, vertex Poisson algebras and vertex algebras. Zbl 1038.17021 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 28 2002 Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras. Zbl 1012.16040 Kashina, Y.; Mason, G.; Montgomery, S. 27 2002 Group cohomology and gauge equivalence of some twisted quantum doubles. Zbl 0968.57030 Mason, Geoffrey; Ng, Siu-Hung 20 2001 Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras. Zbl 0990.17022 Dong, Chongying; Mason, Geoffrey; Nagatomo, Kiyokazu 9 2001 Transformation laws for theta functions. Zbl 1002.11038 Dong, Chongying; Mason, Geoffrey 6 2001 The radical of a vertex operator algebra associated to a module. Zbl 0985.17018 Dong, Chongying; Mason, Geoffrey 2 2001 Modular-invariance of trace functions in orbifold theory and generalized Moonshine. Zbl 1061.17025 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 203 2000 Monstrous moonshine of higher weight. Zbl 0985.17017 Dong, Chongying; Mason, Geoffrey 11 2000 Vertex operator algebras and their automorphism groups. Zbl 1008.17017 Dong, Chongying; Mason, Geoffrey 1 2000 Quantum Galois theory for compact Lie groups. Zbl 0929.17031 Dong, Chongying; Mason, Geoffrey 20 1999 Twisted representations of vertex operator algebras. Zbl 0890.17029 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 182 1998 Vertex operator algebras and associative algebras. Zbl 0911.17017 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 74 1998 Twisted representations of vertex operator algebras and associative algebras. Zbl 0916.17023 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 34 1998 Associative subalgebras of the Griess algebra and related topics. Zbl 0946.17011 Dong, C.; Li, H.; Mason, G.; Norton, S. P. 34 1998 The radical of a vertex operator algebra. Zbl 0946.17010 Dong, C.; Li, H.; Mason, G.; Montague, P. S. 10 1998 On quantum Galois theory. Zbl 0890.17031 Dong, Chongying; Mason, Geoffrey 153 1997 Regularity of rational vertex operator algebras. Zbl 0902.17014 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 137 1997 Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\). Zbl 0873.46035 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 25 1997 Certain associative algebras similar to \(U(sl_ 2)\) and Zhu’s algebra \(A(V_ L)\). Zbl 0890.17030 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 10 1997 Hom functor and the associativity of tensor products of modules for vertex operator algebras. Zbl 0881.17027 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 6 1997 Some generalized quadrangles in characteristic 2. Zbl 0894.51001 Mason, Geoffrey 1 1997 Simple currents and extensions of vertex operator algebras. Zbl 0873.17027 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 72 1996 Compact automorphism groups of vertex operator algebras. Zbl 0873.17028 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 58 1996 Some twisted sectors for the moonshine module. Zbl 0844.17019 Dong, Chongying; Li, Haisheng; Mason, Geoffrey 8 1996 Vertex operator algebras and moonshine: A survey. Zbl 0861.17018 Dong, Chongying; Mason, Geoffrey 8 1996 On vertex operator algebras as \(sl_ 2\)-modules. Zbl 0868.17020 Dong, Chongying; Lin, Zongzhu; Mason, Geoffrey 6 1996 The quantum double of a finite group and its role in conformal field theory. Zbl 0856.20005 Mason, Geoffrey 21 1995 Geometry, Steinberg representations and complexity. Zbl 0869.20003 Alperin, J. L.; Mason, G. 1 1995 Discrete series of the Virasoro algebra and the moonshine module. Zbl 0813.17019 Dong, Chongying; Mason, Geoffrey; Zhu, Yongchang 95 1994 Nonabelian orbifolds and the boson-fermion correspondence. Zbl 0808.17019 Dong, Chongying; Mason, Geoffrey 24 1994 The construction of the moonshine module as \(\mathbb{Z}_ p\)-orbifold. Zbl 0808.17014 Dong, Chongying; Mason, Geoffrey 11 1994 An orbifold theory of genus zero associated to the sporadic group \(M_{24}\). Zbl 0835.20027 Dong, Chongying; Mason, Geoffrey 3 1994 On simple modules for \(\text{SL}(2,q)\). Zbl 0820.20016 Alperin, J. L.; Mason, Geoffrey 3 1993 Partial Steinberg modules for finite groups of Lie type. Zbl 0820.20017 Alperin, J. L.; Mason, Geoffrey 2 1993 Remarks on moonshine and orbifolds. Zbl 0848.20009 Mason, Geoffrey 1 1992 \(G\)-elliptic systems and the genus zero problem for \(M_{24}\). Zbl 0781.20013 Mason, Geoffrey 4 1991 On a system of elliptic modular forms attached to the large Mathieu group. Zbl 0709.11033 Mason, Geoffrey 7 1990 Spread-invariant representations of symmetric groups. Zbl 0698.20007 Eastman, Mark; Mason, Geoffrey 1 1990 Finite groups and Hecke operators. Zbl 0636.10021 Mason, Geoffrey 12 1989 Groups, discriminants and the spinor norm. Zbl 0685.20005 Mason, Geoffrey 1 1989 Elliptic systems and the eta-function. Zbl 0701.20006 Mason, Geoffrey 1 1989 Finite groups and modular functions (with an appendix by S. P. Norton). Zbl 0642.10025 Mason, Geoffrey 9 1987 Representation theory and translation planes. Zbl 0654.20005 Mason, Geoffrey 1 1987 The Klein correspondence and the ubiquity of certain translation planes. Zbl 0593.51006 Mason, G.; Shult, E. E. 6 1986 Some applications of quasi-invertible characters. Zbl 0588.20008 Mason, Geoffrey 3 1986 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 701 Authors 71 Dong, Chongying 59 Mason, Geoffrey 53 Lam, Ching Hung 49 Li, Haisheng 26 Creutzig, Thomas 24 Adamović, Dražen 23 Huang, Yi-Zhi 20 Milas, Antun 20 Shimakura, Hiroki 19 Jiang, Cuipo 19 Yamada, Hiromichi 19 Yang, Jinwei 17 Wang, Qing 17 Yamauchi, Hiroshi 15 Franc, Cameron 15 Miyamoto, Masahiko 14 Linshaw, Andrew Ross 14 Tuite, Michael P. 14 Xu, Feng 13 Arakawa, Tomoyuki 13 Lin, Xingjun 13 Ren, Li 13 Zuevsky, Alexander 12 Barron, Katrina 12 Ng, Siu-Hung 12 Ridout, David 12 Yamskulna, Gaywalee 11 Abe, Toshiyuki 11 Tanabe, Kenichiro 11 van Ekeren, Jethro 11 Yu, Nina 10 Griess, Robert L. jun. 10 Nagatomo, Kiyokazu 10 Raji, Wissam 10 Tan, Shaobin 10 Voskresenskaya, Galina Valentinovna 9 Duncan, John F. R. 9 Jiao, Xiangyu 9 Kac, Victor 9 Lepowsky, James 9 McRae, Robert 8 Ai, Chunrui 8 Keilberg, Marc 8 Mukhi, Sunil 8 Perše, Ozren 8 Sakai, Yuichi 8 Schauenburg, Peter 7 Gaberdiel, Matthias R. 7 Han, Jianzhi 7 Kanade, Shashank 7 Knopp, Marvin Isadore 7 Lin, Zongzhu 7 Runkel, Ingo 7 Sebbar, Abdellah 6 Benayadi, Saïd 6 Gannon, Terry 6 Höhn, Gerald 6 Lim, Subong 6 Mu, Qiang 6 Penn, Michael 5 Bakalov, Bojko 5 Bantay, Peter 5 Candelori, Luca 5 Carnahan, Scott Huai-Lei 5 Chen, Fulin 5 Chen, Hsian-Yang 5 Fuchs, Jürgen 5 Harvey, Jeffrey A. 5 Kashina, Yevgenia 5 Kawasetsu, Kazuya 5 Kitazume, Masaaki 5 Kohnen, Winfried 5 Kong, Liang 5 Krauel, Matthew 5 Lee, Minho 5 Vander Werf, Nathan 5 Wang, Hao 5 Wood, Simon James 4 Arike, Yusuke 4 Bringmann, Kathrin 4 Butorac, Marijana 4 Carpi, Sebastiano 4 Choi, Dohoon 4 Das, Arpit 4 Davydov, Alekseĭ Aleksandrovich 4 Dempwolff, Ulrich 4 Gowdigere, Chethan N. 4 Gui, Bin 4 Jiang, Lining 4 Johnson-Freyd, Theo 4 Kong, Fei 4 Longo, Roberto 4 Möller, Sven 4 Montgomery, Susan 4 Natale, Sonia 4 Nikshych, Dmitri 4 Podufalov, Nickolay D. 4 Primc, Mirko 4 Saber, Hicham 4 Schweigert, Christoph ...and 601 more Authors all top 5 Cited in 134 Serials 206 Journal of Algebra 80 Communications in Mathematical Physics 43 Journal of High Energy Physics 41 Communications in Algebra 39 Journal of Pure and Applied Algebra 38 Advances in Mathematics 32 Transactions of the American Mathematical Society 23 Mathematische Zeitschrift 22 Communications in Contemporary Mathematics 21 The Ramanujan Journal 18 Journal of Mathematical Physics 18 Nuclear Physics. B 18 International Journal of Number Theory 17 Journal of Number Theory 17 Proceedings of the American Mathematical Society 17 Algebras and Representation Theory 14 Letters in Mathematical Physics 12 International Journal of Mathematics 11 Duke Mathematical Journal 10 Journal of Algebra and its Applications 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Physics A: Mathematical and Theoretical 8 Journal of the Mathematical Society of Japan 8 Transformation Groups 7 Functiones et Approximatio. Commentarii Mathematici 7 Selecta Mathematica. New Series 6 Israel Journal of Mathematics 6 Reviews in Mathematical Physics 6 Journal für die Reine und Angewandte Mathematik 6 Bulletin of the American Mathematical Society. New Series 6 Science China. Mathematics 6 Research in the Mathematical Sciences 5 Algebra Colloquium 4 Journal of Geometry and Physics 4 Pacific Journal of Mathematics 4 Designs, Codes and Cryptography 4 Journal of Mathematical Sciences (New York) 4 Central European Journal of Mathematics 4 Algebra & Number Theory 4 Forum of Mathematics, Sigma 4 Research in Number Theory 3 Mathematical Notes 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Algebra and Logic 3 Archiv der Mathematik 3 Compositio Mathematica 3 Functional Analysis and its Applications 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series A 3 Journal of Geometry 3 Mathematische Annalen 3 European Journal of Combinatorics 3 Proceedings of the National Academy of Sciences of the United States of America 3 Journal de Théorie des Nombres de Bordeaux 3 Frontiers of Mathematics in China 3 Japanese Journal of Mathematics. 3rd Series 2 International Journal of Modern Physics A 2 Journal of Mathematical Analysis and Applications 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematics of Computation 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Mathematika 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Results in Mathematics 2 Journal of the American Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Knot Theory and its Ramifications 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Taiwanese Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 European Journal of Mathematics 1 International Journal of Modern Physics B 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Acta Mathematica 1 The Annals of Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal ...and 34 more Serials all top 5 Cited in 37 Fields 630 Nonassociative rings and algebras (17-XX) 257 Quantum theory (81-XX) 208 Number theory (11-XX) 154 Group theory and generalizations (20-XX) 97 Associative rings and algebras (16-XX) 78 Category theory; homological algebra (18-XX) 50 Algebraic geometry (14-XX) 27 Functional analysis (46-XX) 24 Geometry (51-XX) 23 Manifolds and cell complexes (57-XX) 22 Combinatorics (05-XX) 18 Information and communication theory, circuits (94-XX) 15 Special functions (33-XX) 15 Relativity and gravitational theory (83-XX) 13 Differential geometry (53-XX) 12 Functions of a complex variable (30-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Algebraic topology (55-XX) 7 Topological groups, Lie groups (22-XX) 5 Commutative algebra (13-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 \(K\)-theory (19-XX) 4 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) Citations by Year