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Name Professor Gadadhar Misra
(Professor Gadadhar Misra)
FNA ID P09-1486
Address Department of Mathematics, Indian Institute of Science,
City Bangalore
Pin Code 560012
Country India
Gender Male
Specialization Operator Theory
Service in the Council
Qualification PhD
Membership FASc
  Year of Election 2009  
E-mail gm@math.iisc.ernet.in
Personal Website http://www.math.iisc.ernet.in/~gm

Gadadhar Misra obtained his BSc (1977) from Utkal University, MSc (1979) in Mathematics from Sambalpur University and PhD (1982) from Suny, Stony Brook. He was Assistant Professor at the University of Georgia, Athens, (1982-84); at the University of California, Irvine, (1984-85); and at the Indian Statistical Institute (1986-89). He became Associate Professor (1989-93) and then Professor at the Indian Statistical Institute, Bangalore (1993-2007). He joined the Indian Institute of Science, Bangalore as a Professor (2007).

Academic and Research Achievements: Professor Misra has found counter examples to an important conjecture on similarity of operators in the Cowen and Douglas class. He has given an explicit description of the class of completely non-unitary contractions whose characteristic function is constant. He obtained a canonical model as well as complete invariants for a class of quotient Hilbert modules, and introduced the notion of quasi-free Hilbert modules to generalize parts of the Sz-Nagy-Foias Model theory in the context of multi-variate operator theory. He has obtained a classification of scalar homogeneous shifts and also calculated the joint Taylor spectrum of a class of multiplication operators on the "twisted" Bergman space. Misra has described the holomorphic Hermitian vector bundles over the unit disc, which are homogeneous under the action of SL (2,R). He has determined the unitary equivalence class of the irreducible homogeneous operators in the Cowen-Douglas class whose associated unitary representations are multiplicity-free. He has carried out a complete classification of all irreducible homogeneous operators in the Cowen-Douglas class and has been able to answer a question of Cowen and Douglas on the minimal set of unitary invariants.

Other Contributions: Misra was the Head, Indian Statistical Institute, Bangalore Centre (1997-2002). He is Editor of the journal Proceedings (Math Sci) Indian Academy Science from 2005.

Awards and Honours: Professor Misra is a recipient of SS Bhatnagar Prize (2002). He is a Fellow of Indian Academy of Sciences, Bangalore (1999).

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