Al Boggess’ research is in the areas of analytic functions of a complex variable and Fourier analysis. An analytic function should be thought of as a generalization of a polynomial (with an infinite number of terms). Likewise, a Fourier series is an infinite sum of trigonometric terms. Analytic functions and Fourier series are the building blocks that can be used to approximate and construct more complicated mathematical functions. Although the origins of these subjects go back nearly two centuries and were largely motivated by mathematical curiosity, these subjects now play an essential role in scientific and engineering applications such as signal analysis and image reconstruction. In addition to many papers on the subjects of analytic functions and Fourier analysis, Al Boggess has co-authored an undergraduate/graduate text book on Fourier analysis and wavelets.