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Dr. Jason Williford|UW Mathematics

Dr. Jason Williford

Dr. Jason Williford, University of Wyoming Mathematics facultyAssistant Professor of Mathematics

Research interests: algebraic graph theory, finite geometries, association schemes

Contact Information

Ross Hall 314
Department of Mathematics
University of Wyoming
jwillif1@uwyo.edu
307-766-2209

Education

Ph.D., U. Delaware, 2004
B.A., University of Pennsylvania, 1998

About Dr. Williford 

Jason Williford’s mathematical interests center around the interplay between algebra, finite geometry and combinatorics. Association schemes and coherent configurations are generalizations of permutation groups that provide a framework in which this interplay is quite rich. Recently, he has focused on generalizing the necessary conditions for existence and subset bounds of association schemes to coherent configurations. He also studies extremal problems in graph theory that can be approached using constructions from finite fields and geometries.

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Representative Publications

S. A. Hobart, J. Williford, 2012, The independence number for polarity graphs of even order planes, J. Algebraic Combin. DOI: 10.1007/s10801-012-0392-y.

T. A.Terlep, J. Williford, 2012 “Graphs from Generalized Kac-Moody Algebras”, Siam Journal on Discrete Math. 26, no. 3, 1112-1120.

T. Penttila, J. Williford, 2011, “New examples of Q-polynomial Association Schemes”, Journal of Combinatorial Theory Series A 118, no. 2, 502—509.

W.J. Martin, J. Williford, 2009, “There are finitely many Q-polynomial association schemes of given first multiplicity at least three,” European Journal of Combinatorics 30, 698—704.

E. Moorhouse and J. Williford, 2008, “Embedding Finite Partial Linear Spaces in Finite Translation Nets,” Journal of Geometry 91, 73—83.

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