The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K, called a primitive element. In fact, it is clear from the proof of this theorem that not only there are infinitely many such primitive elements in K, but in fact most elements in […]

We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Ryan Maguire (Dartmouth College) Title: Relative Strengths of Knot Invariants by Experiment Abstract: Four knot polynomials have been well studied by topologists, graph theorists, and algebraists alike: The Alexander, Jones, HOMFLY-PT, and Khovanov polynomials. It is known that the Khovanov polynomial is […]

Title: Structural Ramsey Theory and Logic Speaker: Lynn Scow, Professor of Mathematics, California State University, San Bernardino Abstract: The connection between Ramsey theory and logic goes back to Frank P. Ramsey's 1929 paper in which he announced his famous Ramsey theorem for finite sequences.  This theorem states that for any partition of all sequences of length […]