Generic arguments lead to the idea that quantum gravity has a minimal length scale. A possible observational signal of such a minimal length scale is that photons should exhibit dispersion. In 2009, the observation of a short gamma ray burst seemed…
We extend the well-known characterizations of convergence in the spaces lp (1 ≤ p < ∞) of p-summable sequences and c0 of vanishing sequences to a general characterization of convergence in a Banach space with a Schauder basis and obtain as instant…
We study the zero distribution of the sum of the first n polynomials satisfying a three-term recurrence whose coefficients are linear polynomials. We also extend this sum to a linear combination, whose coefficients are powers of az + b for a, b ∈ R,…
Typically, undergraduates see real analysis as one of the most difficult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these…
This paper begins with a survey of some applications of Khovanov homology to low-dimensional topology, with an eye toward extending these results to sl(n) homologies. We extend Levine-Zemke’s ribbon concordance obstruction from Khovanov homology to…