Vertex operators for imaginary gl2 subalgebras of the Monster Lie algebra, with Darlayne Addabbo, Lisa Carbone, Maryam Khaqan and Scott H. Murray. Journal of Pure and Applied Algebra 228 (2024) 107651
Constructing a Lie group analog for the Monster Lie algebra. Lett Math Phys 112, 43 (2022). Carbone, L., Jurisich, E. & Murray, S.H. 16 pp. doi.org/10.1007/s11005-022-01531-4
The Three Point Gauge algebra V n sl(2, R) ⊕ (ΩR/dR) and its an action on a Fock space. with Ben Cox and Renato Martins, the Journal of Algebra, Volume 521, (2019), pp 44-64
The 3-point Virasoro algebra and its action on a Fock space. with Ben Cox and Renato Martins. Journal of Mathematical Physics 57 031702 (2016) 20pgs; doi: 10.1063/1.4943597
Realizations of the three-point Lie algebra sl(2, R) ⊕ (ΩR/dR). with Ben Cox. Pacific J. Math. 270 (2014), no. 1, 27–48
N-point locality for vertex operators: Normal ordered products, operator product expansions, twisted vertex algebras. with Iana Anguelova and Ben Cox. J. Pure Appl. Algebra 218 (2014), no. 12, 2165–2203
Representations of a∞ and d∞ with central charge 1 on the single neutral fermion Fock space F ⊗ 12 . with Iana I Anguelova and Ben Cox. J. Phys.: Conf. Ser. 474 (2013) 012004: 20 pages
A Wakimoto type realization of toroidal sln+1. with Samuel Buelk and Ben Cox, Algebra Colloq. 19 (2012), Special Issue No.1, 841–866
Borcherd’s proof of the Conway-Norton conjecture. Moonshine: the first quarter century and beyond, 219–235, London Math. Soc. Lecture Note Ser., 372, Cambridge Univ. Press, Cambridge, 2010
A generalization of Lazard’s elimination theorem. with Robert Wilson, Comm. Algebra 32 (2004), no. 10, 4037–4041
A resolution for standard modules of Borcherds Lie algebras. J. Pure Appl. Algebra 192 (2004), no. 1-3, 149–158
An equivalence between categories of modules for generalized Kac-Moody Lie algebras. J. Lie Theory 14 (2004), no. 1, 141–150
Teaching Linear algebra to non-mathematics majors, Proceedings for First Annual Charleston Connections: Innovations in Higher Education Conference: Learning from Each Other; The Citadel, Charleston, South Carolina (2001) 5–10
Beyond Borcherds Lie algebras and inside. with Stephen Berman and Shaobin Tan, Trans. Amer. Math. Soc. 353 (2001), no. 3, 1183–1219
Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra. J. Pure Appl. Algebra 126 (1998), no. 1-3, 233–266
An exposition of generalized Kac-Moody algebras Lie algebras and their representations. 121–159, Contemp. Math., 194, Amer. Math. Soc., Providence, RI, 1996
Realizations of the Monster Lie algebra. with James Lepowsky and Robert Wilson, Selecta Math. (N.S.) 1 (1995), no. 1, 129–161
Generalized Kac-Moody algebras and their relation to free Lie algebras. Thesis (Ph.D.) Rutgers The State University of New Jersey - New Brunswick. 1994. 106 pp, ProQuest LLC