Pallavi Jayawant

Assistant Professor
Department of Mathematics
Bates College

Office:Hathorn Hall Room 211
Phone:(207) 786-8399
Email:pjayawan@bates.edu

My mathematical interest is in combinatorial proofs of statements and identities through the use of discrete objects (such as tilings, graphs and triangulations) as models. Recent work has involved orthogonal polynomials and Dyson's theorem about continuous functions on spheres. I am currently studying differences of q-binomial coefficients. Small-world networks, and spanning trees are of recent interest as well and have figured prominently in work with students. Below is a list of publications (* indicates an undergraduate student author).

I. Gessel and P. Jayawant, A triple lacunary generating function for Hermite polynomials , Electronic Journal of Combinatorics 12(1) (2005), R30.

P. Jayawant, M. Kosa, and C. Shannon, Reconstructing Curves from Sample Data , DIMACS Educational Module Series Module 08-5 (2008).

K. Glavin* and P. Jayawant, Minimum spanning trees , Involve 2(4) (2009), pp. 437–448.

A. Benjamin, L. Ericksen, P. Jayawant, and M. Shattuck, Combinatorial trigonometry with Chebyshev polynomials , J. Statist. Plann. Inference (2010), doi:10.1016/j.jspi.2010.01.011.

I. Gessel and P. Jayawant, Multilinear generating functions for Charlier polynomials , J. Statist. Plann. Inference (2010), doi:10.1016/j.jspi.2010.01.019.

P. Jayawant and P. Wong, A combinatorial analog of a theorem of F. J. Dyson, Topology and its Applications (2010), doi:10.1016/j.topol.2010.02.020.