Research Information

My research interest is functions of one complex variable. Specifically, I am interested in real and non-real zeros of derivatives of real entire functions of finite order.  I am also interested in multipartite tournaments, multi-designs, optimal control, and cellular automata.

Advisor: Professor S. Hellerstein, University of Wisconsin - Madison

Area: Complex Analysis

Publications:

1.  S. Edwards & S. Hellerstein, Non-real zeros of derivatives of real entire functions and some Pólya-Wiman conjectures. Proceedings of the Second ISAAC Congress, Vol. 1 (Fukuoka, 1999), 389--397, Int. Soc. Anal. Appl. Comput., 7, Kluwer Acad. Publ., Dordrecht, 2000.

2.  S. Edwards & S. Hellerstein,  Non-real zeros of derivatives of real entire functions and the Pólya-Wiman conjectures. Complex Var. Theory Appl. 47 (2002), no. 1, 25--57.

3.  S. Edwards & R. Gordon, Extreme Curvature of Polynomials.   American Mathematical Monthly, Vol. 111, No. 10 (Dec. 2004), 890-899.

4.  S. Edwards, M Ginn, J. Harris, G. Rhoads, Using Cellular Automata to Model Traffic.  DIMACS Educational Module Series. (http://dimacs.rutgers.edu/Publications/Modules/moduleslist.html), 2004.

5.  A. Abueida, W. Diestelkamp, S. Edwards, D. Parker, Determining Properties of a Multipartite Tournament from its Lattice of Convex Subsets. Australasian Journal of Combinatorics. 31 (Feb. 2005) p. 217-230. 

6. S. Edwards, Using Level Curves to Count Non-real Zeros of F''.  Advances in Analysis: Proceedings of the Fourth ISAAC Congress, (Toronto, 2003), Int. Soc. Anal. Appl. Comput., World Scientific Publishing Co., Pte. Ltd., p. 531-537, (2005).

7. A. Abueida, M. Daven, W. Diestelkamp, S. Edwards, D. Parker,  Multi-designs for graph-triples of order 6.  Congressus Numerantium, 183, 2006, 139-160.

Works in Progress:

S. Edwards & C. Livingston, Periodic Existence Theorems in Optimal Control.

S. Edwards, C. Johnston. The effects of using MS Excel in a business calculus course

Talks/Presentations

Conferences Attended