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 23 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. 

   He has delivered more than 100 invited talks at different Universities/Institutes such as University of Paderborn, Oberwolfach Institute, 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, Delhi; Indian Institute of Sciences, Bangalore; Panjab University, Sardar Patel University, Jammu University , University of Kashmir  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 43 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.