William K. Allard

William K. Allard is a Professor in the Department of Mathematics at Duke University. He holds a Sc.B. from Villanova University and a Ph.D. from Brown University. His research focuses on Calculus of Variations, Parallel Computing, Image Processing, and Scientific Computing, with notable projects including the KDI initiative and studies on spiral wave dynamics in cardiac systems. He has taught a wide range of courses, including Basic Analysis, Mathematical Logic, and Scientific Computing. His recent work includes contributions to differential geometry, image denoising via total variation regularization, and adaptive mesh refinement algorithms. Personal links highlight his family and residence information, though these are non-academic.

Research highlights include geometric analysis, computational methods for image processing, and parallel computing applications. His teaching spans foundational mathematics to specialized topics like elliptic PDEs and motion by mean curvature. Collaborative work with John Trangenstein on distributed computational codes demonstrates interdisciplinary engagement. Despite the page's outdated timestamp (last modified 2003), his academic contributions remain well-documented in these materials.