Robert Fitzgerald SIUC, Mathematics Professor   Ph.D. UCLA, 1980   Quadratic Forms and Algebra   Office: Neckers A 379 Office Phone: 618-453-6575 Email: rfitzg at math.siu.edu Web Page: www.math.siu.edu/fitzgerald Home Page: http://www.math.siu.edu/fitzgerald/personal.htm

Research Interests

Polynomials, especially quadratic forms, over finite fields and their application to linear codes, curves with many rational points and special binary sequences.

Selected Publications

1. Highly degenerate quadratic forms over F_2. Finite Fields and Their Applications 13 (2007) 778-792.
2. Factors of Dickson polynomials over finite fields. (with J. Yucas). Finite Fields and Their Applications 11 (2005) 724--737.
3. Small extensions of Witt rings. Pacific Journal of Math. 189 (1999) 31--53. 
4. Picard groups of Witt rings. Math. Zeitschrift 206 (1991) 303--319.
5. Quadratic forms of height two. Transaction of Amer. Math. Soc. 283 (1984) 339--351.