Ajay Kumar, Ph.D., FNASc.
Department of Mathematics,
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 63 research papers in International journals such as Transactions of American Mathematical Society, Journal of Functional Analysis, Potential Analysis, Math. Cambridge Philpsophical 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 16 Ph.D. theses and 17 M. Phil. dissertations in University of Delhi.
Dr. Ajay Kumar is a Fellow of National Academy of Sciences, India and has received 12 international research fellowships such as DAAD (German Academic Exchange Service), Commonwealth Staff fellowship, CIES French fellowship, Royal Society London Fellowship, JSPS Japanese Fellowship, DFG (German Research Foundation), Post Doctoral Fellowships of German Universities etc. He has been referee/reviewer for several national and international journals like Proceeding London Math. Society, Mathematishce Nachrichten, Studia Math. Complex variables and Elliptic equations, Journal of Operator Theory and complex analysis, Mathematical Reviews, Zentralblatt fur Mathematik etc.
He has delivered more than 80 invited talks in 40 different universities/institutes such as University of Paderborn, Oberwalfach Insititute, Freie Universitat Berlin, Germany; University of Nancy, University of Strasbourg, France; International Centre of Theoretical Physics, Trieste, Italy; University of Edinburgh, U.K.; University of Tokyo, Gunma University, Chiba University, Japan; University of Belfast, Ireland; Tata Institute of Fundamental Research, Mumbai; Indian Statistical Institute, Delhi and Bangalore; Indian Institute of Technology, Kanpur; Indian Institute of Sciences, Bangalore; Panjab University etc.
Dr. Ajay Kumar was the Sectional President, Indian Science Congress 2014-15, council member of Indian Mathematical Society 2014-17 and is presently a Fellow of International Society of Analysis and Applications, New York along with being member of various other international and national mathematical societies.
He has been teaching at University of Delhi since 41 years along with serving at various positions like Dean Research, University of Delhi, Dean Research (PS & MS); Dean, Faculty of Mathematical Sciences; Head, Department of Mathematics; Chairman, Board of Research Studies in Mathematical Sciences; Programme Coordinator, Cluster Innovation Centre etc.