Ross Hall, Room 202
1000 E. University Ave.
Laramie, WY 82071
Research interests: Connections betweeen algebra and combinatorics, particularly the ways in which algebraic methods can be used to explore various combinatorial objects
Department of Mathematics
University of Wyoming
Laramie, WY 82071-3036
Ph.D., University of Michigan, 1987
B.S., University of California, Santa Cruz, 1980
Sylvia Hobart is interested in connections between algebra and combinatorics, particularly the ways in which algebraic methods can be used to explore various combinatorial objects. Coherent configurations and association schemes provide one general context for this. Particular interests are theory and applications of coherent configurations, quasi-symmetric designs, 2-designs with three intersection sizes, generalized quadrangles, and directed strongly regulargraphs.
Sylvia A. Hobart and Jason Williford, Tightness in the Subset Bound for Coherent Configurations. Submitted.
S. A. Hobart, Bounds on Subsets of Coherent Configurations. Michigan Math Journal, 58(2009), 231-239.
Chris D. Godsil, Sylvia A. Hobart, and William J. Martin, Representations of Directed Strongly Regular Graphs. European Journal of Combinatorics, 28 (2007), 1980-1993.
S. A. Hobart, Krein Conditions for Coherent Configurations. Linear Algebra and Its Applications 226-22(1995), 499-508.
Sylvia A. Hobart and Stanley E. Payne, Reconstructing a Generalized Quadrangle from its Distance Two Association Scheme. Journal of Algebraic Combinatorics, 2 (1993),261-266.