Maseeh Mathematics + Statistics Colloquium: A family of Galois groups in arithmetic dynamics
Friday, May 17, 2019 - 3:15pm

The Maseeh Mathematics and Statistics Colloquium Series

David Krumm,Ph.D.
Reed College

A family of Galois groups in arithmetic dynamics  

Given a polynomial map f:ℚ→ℚ, one can naturally associate to f a sequence of Galois groups Gn,f which encodes information about the dynamical properties of f. A precise understanding of how the structure of these groups changes as f varies (for instance, among all maps of a fixed degree d) would yield important results in arithmetic dynamics. In this talk we will discuss the family of groups Gn,f in the case where f has degree 2.

Dr. Krumm grew up in Costa Rica and earned graduate degrees in mathematics at Georgia Institute of Technology and the University of Georgia.  He has taught as Visiting Assistant Professor at Claremont McKenna College in California, Colby College in Maine, and currently at Reed College.  His research interests are in the areas of Arithmetic Geometry, Algebraic Number Theory, and Arithmetic Dynamics. He is interested in both theoretical and computational aspects of these subjects; most of his work is a blend of theory and computation. At present, his main goal is to prove certain special cases of a uniform boundedness conjecture in dynamics.

Friday, May 17, 2019 at 3:15pm 
Urban Center room 204, 506 SW Mill Street
Light refreshments served

The faculty host of this speaker is Dr. Derek Garton