Dr. Lizhen Ji

Biography

Lizhen Ji is a Professor in the Department of Mathematics at the University of Michigan. He received his Ph.D. from Northeastern University in 1991. His research interests primarily involve geometric analysis, topology, and the study of symmetric spaces and locally symmetric spaces. Ji explores the interplay between differential geometry and arithmetic groups, examining how these structures can influence the behavior of geometric objects. He has investigated the quotient spaces formed by actions of arithmetic groups on symmetric spaces, particularly in understanding spaces where groups act in a harmonious manner. Furthermore, his work often focuses on transformation groups, including the actions of mapping class groups on Teichmüller spaces of marked Riemann surfaces and the effects of outer automorphism groups on free groups. Ji's contributions to geometric group theory highlight the significant problems that arise from these investigations, providing a broader understanding of how these mathematical concepts interrelate. His extensive research has opened up numerous avenues for future exploration and problem-solving in the field of mathematics.

Research Interests