Dr. Alpert leads the Mathematical Analysis and Modeling Group of the Applied and Computational Mathematics Division. His research interests center on algorithms for scientific computation. As a numerical analyst, he develops algorithms for solution of integral equations and partial differential equations. Expertise includes fast multipole methods, high-order quadrature techniques, special functions of mathematical physics, harmonic-analysis-based methods, wavelets, signal processing, and machine learning. Research applications include computational electromagnetics, including time-domain methods and nonreflecting boundary conditions. His recent work includes computational methods for thermophysical equations of state and data analysis for low-temperature superconducting transition-edge sensors. Dr. Alpert earned a B.S. from University of Illinois, Urbana-Champaign (1978), S.M. from University of Chicago (1979), and Ph.D. from Yale University (1990).