MGSC Website: http://math.uci.edu/~mgsc/
A random polynomial is a polynomial whose coefficients are given by a specific probability distribution. Random polynomials have found many applications in quantum chaos and random matrix theory.
The study of random polynomials is a broad area, with work begin done on all the usual topics of interests for polynomials, including distribution of roots and multiplicities. Our discussion will focus on the properties of the roots of certain families of random polynomials. Several historical results will be presented, followed by a brief description of our current research in the field. Along the way, several interesting results from probability theory will be discussed.
Jeff Matayoshi is a fourth-year graduate student here at UCI. He completed his B.S. at UCLA and lives and dies Bruin's blue and gold. He has been solid at third base for the math softball team for three years.
Pizza will be served after the talk.