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Faculty

Dr. Dilip Kumar

Assistant Professor | Department of Mathematics

Email Address : dks[at]pgdav[dot]du[dot]ac[dot]in

Wavelet Analysis, Harmonic Analysis.

  • B.Sc. (Hons.) Mathematics, , 2013 , Moti Lal Nehru College
  • M.Sc. Mathematics , 2016 , Indian Institute of Technology, Kanpur
  • Ph.D. , 2025 , Department of Mathematics, University of Delhi
  • CSIR JRF , 2016 , CSIR JRF in Mathematical Science
  • IIT GATE , 2020 , Gate in Mathematics and Statistics
  1. Assistant Professor (Adhoc) in the Department of Mathematics, Kalindi College, University of Delhi from 3rd Jan 2017 to 19th July 2018.
  2. Assistant Professor (Adhoc) in the Department of Mathematics, Maharaja Agrasen College, University of Delhi from 30th Jan 2019 to 28th Feb 2023.
  3. Assistant Professor (permanent) in the Department of Mathematics, PGDAV College, University of Delhi from 1st March 2023. 
  • Linear Algebra, Abstract Algebra, Ring Theory Field Theory
  • Real and Complex Analysis
  • Calculus
  • Ordinary and Partial Differential Equation 
  • Numerical Methods
  • R software, R software for Bussiness Analytics
  • vedic mathematics I, II, III
  • Introduction to Blockchain 
  • Probability and statistics
  • Mathematical Finance
  • Statistical Inference
  • Sample Survey and Design of Experiments
  • Time series analysis
  • Trasportation and Game theory
  1. Member of IT Infrastructure Committee.
  2. Member of Lawn and Garden committee.

Some Generalizations of Boas Transforms of Wavelets

List of Publications

 

  1. A. Zothansanga, Nikhil Khanna, S. K. Kaushik & Dilip Kumar, On generalized analytic wavelets, Iranian Journal of Science (2023) 47:489–500, https://doi.org/10.1007/s40995-023-01414-w, 1.7 (2022) Impact factor 1.7
    MR4614096
    Published 05 February 2023

 

  1. A. Zothansanga, Nikhil Khanna, S. K. Kaushik & Dilip Kumar, A Note on Some New Generalized Wavelets, Volume 2022 | Article ID 7511242 | https://doi.org/10.1155/2022/7511242
    Journal of Mathematics, Hindawi, 2314-4785, Impact Factor 1.4
    MR4452491
    Published 04 July 2022

 

  1. A. Zothansanga, Nikhil Khanna, S. K. Kaushik & Dilip Kumar, Some Properties of Fractional Boas Transforms of Wavelets, Volume 2021 | Article ID 6689779,
    Journal of Mathematics, Hindawi,
    https://doi.org/10.1155/2021/6689779, 2314-4785, Impact Factor 1.4
    MR4235878
    Published 15 March 2021
     
  2. Jarrah, A.M., Khanna, N., Zothansanga, A., Kumar D.,  A Short Note on Generalized Variation Diminishing Wavelets. Iran J Sci 48, 1299–1305 (2024). https://doi.org/10.1007/s40995-024-01689-7

1. Two-weeks Faculty Development Programme on “Computer Algebra System”, held during March 22 – April 03, 2023, organized by IQAC, Ramjas College, University of Delhi, in collaboration with Mahatma Hansraj Faculty Development Centre, Hansraj College, University of Delhi.

2. Four-week Faculty Induction/Orientation Programme for “Faculty in Universities/ Colleges/ Institutes of Higher Education”, held during April 23, 2023 – May 22, 2023, organized by Teaching Learning Cell, Ramanujan College, University of Delhi, in collaboration with Army Institute of Education (AIE), Greater Noida affiliated to Guru Gobind Singh Indraprastha University, Delhi under the aegis of Ministry of Education Pandit Madan Mohan Malviya National Mission on Teachers and Teaching.