Rate My Professor Gregory Lupton

Gregory Lupton is Professor and Chair of the Department of Mathematics and Statistics at Cleveland State University. He holds a Ph.D. in Mathematics from the University of Edinburgh, obtained in 1987. His expertise lies in rational homotopy theory, algebraic topology, and topological complexity. Lupton has produced a substantial body of scholarly work, including 18 articles, 9 papers, 1 book, and 1 other contribution. Key recent publications co-authored by him include "A second homotopy group for digital images" in the Journal of Algebraic Combinatorics (2024), "Digital fundamental groups and edge groups of clique complexes" in the Journal of Applied and Computational Topology (2022), "Homotopy invariants and almost non-negative curvature" in Mathematische Zeitschrift (2022), "Homotopy Theory in Digital Topology" in Discrete and Computational Geometry (2022), and "Subdivision of Maps of Digital Images" also in Discrete and Computational Geometry (2022). Earlier works encompass topics such as Whitehead products in function spaces and mapping theorems for topological complexity.

Lupton received the Outstanding Research Award from the College of Sciences and Health Professions at Cleveland State University in 2012. He served as Principal Investigator on a Simons Foundation grant from 2012 to 2016 supporting research in topological complexity, fibrewise homotopy, and rational homotopy. He has also participated in multiple research programs at the Mathematisches Forschungsinstitut Oberwolfach, including as Co-Principal Investigator on an active project and past workshops on topological complexity of aspherical spaces and research in pairs. In his teaching role, he has instructed courses including MTH 696 Mathematics Exit Project, MTH 496 Senior Project, MTH 396 Junior Seminar, MTH 434 Differential Geometry, and others spanning from 2006 onward. Lupton contributes to academic service through participation in Ph.D. thesis committees (2021-2022) and as a reviewer for publications in 2015, 2017, 2019, and 2020. His research intersects homotopy theory with digital topology, fostering advancements in these specialized areas of mathematics.