Seminar Annoucement
Time: Thursday, September 18, 12:30-1:45
Room: 322 William R. Murchie Science Building (MSB)
Speaker: Jason B. Hill
Jason graduated from The University of Michigan-Flint with a B.S. in mathematics in 2004. He received an M.S. in mathematics from The University of Vermont in 2006 and is currently working under Keith Kearnes in logic, algorithms and computational algebra at The University of Colorado.
Title: Inverse Problems and Finding Number Fields of Small Discriminant
Area: Computational/Algorithmic Number Theory
Abstract: Given a suitable property P, it may be challenging, or impossible, to locate an instance of a number field for which P holds (e.g., the inverse Galois problem). When such fields are known to exist, it is often desirable to locate a field satisfying P and having minimal computational complexity. In this talk, an efficient signature dependent algorithm which locates fields satisfying P and minimizes complexity will be given, and several new results found via the algorithm will be presented.