Dr. Rahul Kumar is currently a postdoctoral F ellow at the Center for Geometry and Physics, Institute for Basic Science, POSTECH, South Korea. He obtained his BSc from B S A C ollege, Mathura, Dr. Bhimrao Ambedkar University, Agra, Uttar Pradesh, and his MSc from the Indian Institute of Technology Kanpur. He then completed his PhD in October 2020 from the Indian Institute of Technology Gandhinagar under the supervision of Prof. Atul Dixit. His research interests are in analytic number theory, special functions, and the theory of partitions. The work of Ramanujan also influences Dr. Kumar’s research. Over the years, he has worked on various topics such as the Lambert series, zeros and special values of certain L-functions, and the theory of zeta and Bessel functions arising from modular relations, etc. He has published several research papers in reputed international journals. He has qualified for IIT-JAM, CSIR-NET, and GATE examinations. Recently, he was selected for the NBHM postdoctoral F ellowship.
As a Fulbright-Nehru Postdoctoral Research Fellow , Dr. Kumar will be joining the Department of Mathematics, Penn State University, University Park, USA. The study of Selberg L-functions has been of great interest to mathematicians since Selberg introduced them. During his stint, Dr. Kumar will also study the theory of these L-functions apart from developing the theory of generalized Hurwitz zeta and polylogarithm functions. The latter two functions have appeared in his (and others) recent works on modular relations and Herglotz functions.