Dr. Ajay Kumar is presently NASI Senior Scientist and was working as Professor in Department of Mathematics, University of Delhi. He did his M.Sc. and Ph.D. in Mathematics from University of Delhi. His research majorly focuses on Harmonic Analysis; Representations of locally compact groups; Potential theory of Stratified Lie groups; Nilpotent Lie groups; C*-algebras; Operator Spaces; Operator systems and Complex analytic methods in partial differential equations. He has published 86 research papers in International journals such as Transactions of American Mathematical Society, Journal of Functional Analysis, Potential Analysis, Math. Cambridge Philosophical Society, Mathematische Zeitschrifte, Journal of Mathematical Analysis and Applications, Journal of Geometric Analysis, Pacific Journal of Mathematics, Proceedings American Math. Soc., Proceeding Edinburgh Math. Society, Applicable Analysis, Forum Mathematicum, Positivity, Archiv der Mathematik, Complex Variables and Elliptic Systems, Boundary Value Problems, Journal of Inequalities and Applications etc. His international collaborators include E. Kaniuth, W. Hauenschild, S. Echterhoff, H. Begehr, D. Schersau, Germany; A. M. Sinclair, U.K.; O. Gebuhrer, France; T. Itoh, Japan; J. Vanegas, Venezuela. He has supervised 22 Ph.D. theses and 19 M. Phil. dissertations in University of Delhi.
Dr. Ajay Kumar is a Fellow of National Academy of Sciences, India and is also recipient of NASI Senior Scientist Platinum Jubilee Fellowship. He has received 12 international research fellowships such as DAAD (German Academic Exchange Service) fellowship, Commonwealth Staff fellowship, CIES French fellowship, Royal Society London Fellowship, JSPS Japanese Fellowship, DFG (German Research Foundation) fellowship and Post Doctoral Fellowships at German Universities. He has been referee/reviewer for several national and international journals like Proceeding London Math. Society, Mathematische Nachrichten, Studia Math., Complex Variables and Elliptic equations, Journal of Operator Theory and Complex Analysis, Mathematical Reviews, Zentralblatt fur Mathematik etc.