Research.

Using competitive analysis, we present several competitive algorithms to externally inspect a convex polygon, the best of which achieves an improved competitive factor of ~14.14.

Using tweets from viewers of the 2017 solar eclipse that occurred over the continental United States, we investigate the use of natural language processing techniques to predict whether an arbitrary Twitter user is view the eclipse, given their tweet's content

We apply convolutions and products of distributions (in the Schwartz sense) to solve integral and differential equations using the Mattag-Leffler function.

Several definitions of convolutions in the distributional sense are presented which are both in agreement and simpler than previous definitions. Presented definitions also provide a natural derivative of fractional derivatives.

Relations among convolutional definitions and the fractional derivative of distributions.

We use Bobenko's approach and fractional integrals in the distributional sense to solve Abel's integral equation of the second kind.