| Regularity of fixed-point vertex operator subalgebras S Carnahan, M Miyamoto arXiv preprint arXiv:1603.05645, 2016 | 152 | 2016 |
| Generalized moonshine II: Borcherds products S Carnahan Duke Mathematical Journal 161 (5), 893-950, 2009 | 58 | 2009 |
| Generalized Moonshine IV: Monstrous Lie algebras S Carnahan Arxiv preprint arXiv:1208.6254, 2012 | 53* | 2012 |
| Counting Hopf Galois structures on non-abelian Galois field extensions S Carnahan, L Childs Journal of Algebra 218 (1), 81-92, 1999 | 46 | 1999 |
| Generalized moonshine I: Genus zero functions S Carnahan Algebra and Number Theory 4 (6), 649-679, 2008 | 45* | 2008 |
| Building vertex algebras from parts S Carnahan Communications in Mathematical Physics 373 (1), 1-43, 2020 | 20 | 2020 |
| A self-dual integral form of the moonshine module S Carnahan SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15, 030, 2019 | 12* | 2019 |
| 51 constructions of the Moonshine module S Carnahan arXiv preprint arXiv:1707.02954, 2017 | 11 | 2017 |
| Monstrous Lie algebras and generalized moonshine S Carnahan UC Berkeley, 2007 | 8* | 2007 |
| Fricke Lie algebras and the genus zero property in Moonshine S Carnahan Journal of Physics A: Mathematical and Theoretical 50 (40), 404002, 2017 | 5 | 2017 |
| MONSTROUS LIE ALGEBRAS (Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics) S Carnahan 数理解析研究所講究録 1872, 83-93, 2014 | 3 | 2014 |
| MONSTROUS MOONSHINE OVER ℤ? S Carnahan 数理解析研究所講究録 2086, 91-98, 2018 | 2* | 2018 |
| Monstrous Moonshine for integral group rings S Carnahan, S Urano International Mathematics Research Notices 2024 (4), 2748-2789, 2024 | 1 | 2024 |
| Equivariant intertwining operators for twisted modules S Carnahan 数理解析研究所講究録 1965, 21-29, 2015 | 1 | 2015 |
| Why do the symmetries of the monster vertex algebra form a finite simple group? S Carnahan arXiv preprint arXiv:2206.15391, 2022 | | 2022 |
| Monstrous Moonshine over the integers S Carnahan | | 2019 |
| Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions S Carnahan, T Komuro, S Urano SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14, 114, 2018 | | 2018 |
| Generalized Monstrous Moonshine S Carnahan Banff International Research Station for Mathematical Innovation and Discovery, 2016 | | 2016 |
