معرفی
Mike Krebs is a Professor in the Department of Mathematics at California State University, Los Angeles (Cal State LA). He is affiliated with the College of Natural & Social Sciences. His research focuses on algebraic combinatorics, graph theory, and discrete mathematics, with notable work on Cayley graphs, expander families, and combinatorial trace methods. Krebs has collaborated extensively with undergraduate and graduate students, mentoring over 20 theses and co-authoring numerous papers with them.
His academic background includes a Ph.D. from Johns Hopkins University (2005), advised by Dr. Richard Wentworth. Krebs has published widely in journals like Discrete Mathematics, Linear Algebra and its Applications, and Journal of Algebraic Combinatorics, with a focus on topics such as chromatic numbers of Cayley graphs, Kazhdan constants, and expander graph constructions.
Research trends in his articles emphasize interdisciplinary applications, including sports analytics (PageRank for baseball teams) and pedagogical innovations in mathematics education. He has authored a textbook, Expander Families and Cayley Graphs: A Beginner's Guide (2011), and contributed to the Handbook of Graph Theory. Krebs’s work bridges pure mathematics with computational tools, as seen in his Mathematica code for chromatic number calculations.
