Arvind Kumar,
Assistant Professor,
Department of Mathematics,
Indian Institute of Technology, Jammu,
Jagti, PO Nagrota, NH-44 Jammu 181221,
J & K, India
Email: akmbhu.maths@gmail.com;
arvind.kumar@iitjammu.ac.in
You may find my CV here.
RESEARCH INTERESTS
My research interests are in number theory, with a focus on the area of automorphic forms of various kinds, associated Galois representations, special values of L-functions and differential operators. Currently, my focus is
to understand images of the Galois representations associated to classical and Siegel eigenforms; and
to study certain properties of eigenvalues of modular forms and Siegel modular forms by using these representations.
EDUCATION & EMPLOYMENT
Assistant Professor (2022-): Indian Institute of Technology, Jammu
Post-doctoral Fellow (2020 - 2022): The Hebrew University of Jerusalem, Israel
Visiting Fellow (2018 - 2020 ): Tata Institute of Fundamental Research, Mumbai
Post-doctoral Fellow (2017 - 2018): National Institute of Science Education and Research, Bhubaneswar
Ph.D. (2017): Harish-Chandra Research Institute, Allahabad
M.Sc. (2012): Banaras Hindu University, Varanasi
B.Sc. (2010): B. R. D. P. G. College, Deoria
AWARDS
Awarded NBHM (National Board for Higher Mathematics) Post-doctoral Fellowship, 2020.
Awarded Outstanding Doctoral Student Award, HBNI, 2019.
Awarded Infosys Scholarship for Excellence in Research in Mathematics, HRI, 2017.
Qualified GATE (Graduate Aptitude Test in Engineering) exam with 10th rank, 2014.
Awarded Chancellor Gold Medal (along with 5 other medals) for securing 1st rank in Banaras Hindu University, Varanasi, 2012.
Awarded Shyama Prasad Mukharji Fellowship (SPMF) for securing 3rd rank in CSIR-JRF, 2012.
Awarded NBHM Ph.D. JRF, 2012.
Awarded NBHM M.Sc. scholarship, 2011.