
Prahllad Deb
Contact Details
Profile
Prahllad Deb is currently a faculty member at IIIT Delhi. Prior to joining IIITD, he was a postdoctoral fellow in the Department of Mathematics at Ben-Gurion University of the Negev, Israel. He earned his Ph.D. in 2020 from the Indian Institute of Science Education and Research (IISER) Kolkata, following an M.S. degree from the Indian Institute of Science (IISc), Bengaluru, and a B.Sc. degree from Jadavpur University.
His research interests broadly lie in functional analysis, complex analysis, and multivariate operator theory. More specifically, he works on the analytic and geometric structure of free noncommutative (NC) analytic functions and their deep connections with multivariate operator theory. He is also keen on expanding his research program into complex differential geometry and metric geometry.
The major themes of his current research include free noncommutative function theory, homogeneous Cowen–Douglas operators, and differential geometry and topology.
Beyond mathematics, Prahllad enjoys playing table tennis, cooking, and travelling, finding these pursuits a refreshing complement to his academic life.
Research Interests
Free noncommutative (NC for short) function theory
Homogeneous Cowen-Douglas operators and differential geometry
Teaching Interests
Real and complex analysis
Linear algebra
Representation theory of finite groups
Functional analysis and Operator theory
Differential geometry and topology
Algebraic topology
Geometric group theory
Complex geometry
Noncommutative analysis

