• Weil sums of binomials: properties and applications (Daniel Katz, CSUN)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    We consider sums in which an additive character of a finite field F is applied to a binomial whose individual terms (monomials) become permutations of F when regarded as functions.  These Weil […]

  • A Martingale Approach to the Question of Fiscal Stimulus (Michael Imerman, CGU)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    Joint work with Larry Shepp & Philip Ernst In this paper we develop a mathematical model to address an ongoing politico-economic debate between Democrats and Republicans. Democrats in the US […]

  • The kissing number and related problems (Oleg Musin, University of Texas Rio Grande Valley)

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    Abstract: The kissing number problem asks for the maximal number k(n) of equal size nonoverlapping spheres in n-dimensional space that can touch another sphere of the same size. This problem in dimension three was the subject of a famous discussion between Isaac Newton and David Gregory in 1694. In three dimensions the problem was finally […]

  • GEMS Workshop: Exploring the fascinating world of prime numbers, Part II with Professor Adolfo Rumbos, from Pomona College.

    Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    TOPIC: Exploring the fascinating world of prime numbers, Part II The study of patterns in the sequence of prime numbers has fascinated mathematicians for centuries.  Are there formulas that generate prime numbers?  Are there patterns in the distribution of prime numbers and the distribution of gaps between consecutive primes?  In this series of two workshops, […]

    Free
  • Transfinite $\zeta$-metrics (Zair Ibragimov, CMC)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    I will discuss the concept of transfinite ζ-metrics. In some details I will discuss transfinite Apollonian metric in the settings of semi-metric spaces. I will discuss specific examples of domains where the transfinite Apollonian metric can be computed explicitly. This is a preliminary work.

  • The Bateman—Horn conjecture II: applications (Stephan Garcia, Pomona)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    We begin with a review of the Bateman—Horn conjecture, which sheds light on the intimate relationship between polynomials and prime numbers.  In this expository talk, we survey a host of applications of the conjecture.  For example, Landau’s conjecture, the twin prime conjecture, and the Green—Tao theorem are all consequences of the Bateman—Horn conjecture.  Moreover, the […]