Dr. Manish Patnaik

Biography

Manish M. Patnaik is a Professor of Mathematics at the University of Alberta, specializing in Number Theory. His research interests include the study of symmetric spaces and their applications in arithmetic groups. He explores topics such as the construction of central extensions of Kac-Moody groups, and has contributed significantly to the theory of Iwahori-Hecke algebras associated with affine Kac-Moody groups. Patnaik has published extensively on the applications of loop groups in mathematical physics and their relation to algebraic geometry. He has participated in numerous workshops and conferences, presenting findings that connect combinatorial identities with analytical functions in the context of number theory and representation theory. His work has led to new insights into the structure of rational bordifications and the development of semi-stable notions within loop groups, drawing from the works of noted mathematicians such as Harder, Narasimhan, and Behrend. His dedication to advancing the field is reflected in his mentoring of graduate students and postdoctoral researchers, fostering an environment of academic growth and exploration.

Research Interests

Experience