Riemann Hilbert Techniques and Universality in Random Matrix Theory by Ken McLaughlin JTB 120, 3:20pm Tuesday, January 20, 1998 Abstract We will derive Plancherel - Rotach asymptotics for orthogonal polynomials, contrast our results with a well known wkb ansatz, connect orthogonal polynomials to random matrix theory and the universality conjecture, and then show how the new asymptotics for orthogonal polynomials imply the universality conjecture. Requests for preprints and reprints to: mcl@math.arizona.edu This source can be found at http://www.math.utah.edu/research/