Professor of Mathematics,
Rose-Hulman Institute of Technology
Address:
Department of Mathematics
Rose-Hulman Institute of Technology
5500 Wabash Ave.
Terre Haute, IN 47803 USA Phone: (812)-877-8179 Fax: (812)-877-8883 Email:brought@rose-hulman.edu
Ellipses in translation surfaces, with Chris Judge, Geometriae Dedicata, (2011), 47 pp. arXiv preprint page
Cyclic n-gonal Surfaces and their Automorphism Groups- UNED Geometry Seminar, with Aaron Wootton, Disertaciones del Seminario de Matematicas Fundamentales, no. 44, UNED, Madrid, 38 pp. arXiv preprint page
Topologically Unique
Maximal Elementary Abelian Group Actions on Compact Oriented Surfaces, with Aaron Wootton, Journal of Pure and Applied Algebra, 213 (2009) 557-572.
Anharmonic Vibrational Motions in C_{60} : A Potential Energy Surface Derived from Vibrational Self Consistent Field Calculations, D.Jelski, Laszlo Nemes, S.Allen Broughton, Journal of Cluster Science, Vol 16, No 1, March 2005.
Divisible Tilings in the Hyperbolic Plane: (with Dawn M. Haney, Lori T. McKeough, Brandy M. Smith), New York Journal of Mathematics 6 (2000), 237-283. (link to journal, link to paper)
Constructing Kaleidoscopic Tiling Polygons in the Hyperbolic Plane, American Math. Monthly, October, 2000 (link to MAA summary page).
Symmetries of Accola -Machlaclan and Kulkarni surfaces, (with E. Bujalance, A.F. Costa, J.M. Gamboa, G. Gromadski), Proc. AMS, 127 (3), (1999), 637-646.
Symmetries of Riemann surfaces on which PSL(2,q) acts as a Hurwitz automorphism group, (with E. Bujalance, A.F. Costa, J.M. Gamboa, G. Gromadski), J. of Pure and Appl. Algebra. 106 (1996) 113.
Simple group actions on hyperbolic surfaces of least area, Pacific J. of Math. 158 (1) (1993), 23-48 5.
Normalizers and centralizers of elementary Abelian subgroups of the mapping class group, Topology '90, Walter de Gruyter, New York (1992), 77-89.
The Gottlieb group of finite linear quotients of odd-dimensional spheres, Proceedings of the AMS 111 (4) (1991), 1195-1197.
Classifying finite group actions on surfaces of low genus, J. of Pure & Appl. Algebra 69 (1990), 233-270.
The equisymmetric stratification of the moduli space and the Krull dimension of the mapping class group, Topology and its Applications 37 (1990), 101-113.
Milnor numbers and the topology of polynomial hypersurfaces, Invent. Math 92 (1988), 217-241.
Volumes of subgroups of compact Lie groups, Algebras, Groups and Geometries 4 (1987), 325-364.
The homology and higher representations of the automorphism group of a Riemann surface, Transactions AMS 300 (1) (1987), 153-158.
A note on characters of algebraic groups, Proc. of the AMS 89 (1) (1983), 39-40.
The height of two-dimensional cohomology classes of complex flag manifolds, (with M. Hoffman
and W. Homer),Canadian Bull. Math. 26 (4) (1983), 498-502.
On the topology of polynomial hypersurfaces, Proc. Symposia Pure Math., 40, Amer. Math.
Soc. (1983), 167-178.
A comment on unions of sigma-fields, (with B. W. Huff), Amer. Math. Monthly, 84 (7),
(1977), 553-554.