SPEAKER: Professor Qiang (Steven) Wang, Carleton University
The degree of a polynomial is an important parameter to study many problems on polynomials over finite fields. Recently, a new notion of the index of a polynomial over a finite field is introduced to study the distribution of permutation polynomials over finite fields. This parameter also turns out to be very useful in studying value set size bounds, character sum bounds, among others. In this talk I will introduce this new index approach to study polynomials over finite fields and report some recent results on several specific problems.
Qiang (Steven) Wang, Professor of Department of Mathematics and Statistics at Carleton University. He received his PhD in Mathematics from Memorial University of Newfoundland in 2000, and a MSc in Information and System Science from Carleton University in 2002. His main research area is Finite Fields and their applications in coding theory and cryptography.
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