Dr. Igor Kriz

Biography

Igor Kriz is a Professor in the Department of Mathematics at the University of Michigan, where he specializes in algebraic topology and topology as a branch of mathematics. He has extensive experience in the study of homotopy groups and homology theories, focusing on general theories that encompass classical homology theory, K-theory, and cobordism theories. His academic work includes investigations into stable homotopy theory and the interplay between topology, representation theory, and local class field theory. He co-authored a monograph discussing applications of operads in topology, emphasizing their role in constructing generalized cohomology theories. Furthermore, Professor Kriz has engaged in research concerning Morava K-theories and integral mixed motives within algebraic geometry. His contributions to the field are aimed at developing a better understanding of cohomology theories applicable to algebraic varieties.

Research Interests