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Dr. Santosh Kumar

Assistant Professor, Mathematics

santosh.kumar5@sharda.ac.in

About

Dr. Santosh Kumar is an Assistant Professor in the Department of Mathematics, School of Basic Sciences and Research, Sharda University. He obtained his doctorate on the topic ‘Wavelet, diffusion equations and their Applications under the supervision of Prof M.K. Ahmad, from Department of Mathematics, Aligarh Muslim University, Aligarh in 2016. He has qualified CSIR-NET JRF in 2011. He has been awarded JRF and SRF from CSIR, India during his Ph.D. He has qualified Graduate Aptitude Test of Engineering (GATE) in 2012 conducted by IIT Delhi. He has published many research papers and book chapters in reputed journal indexed in Scopus/SCI and have attended many conferences and workshops. He is also guiding Ph.D. students.

Experience
  • 6 Years
Qualification
  • Ph.D
  • M.Sc
Award & Recognition

  • CSIR-UGC- NET JRF & SRF
  • GATE  (2012)
  • Life Member of Indian Society of Industrial & Applied Mathematics (ISIAM), India.
  • Life Member of MathTech Thinking Foundation (A ministry of corporate affairs, government of India) from 27/03/2021.
  • Chaired a session (Chairperson) at the International Conference on “Smart Machine Intelligence and Real-Time    Computing” organized by Govind Ballabh Pant Institute of Engineering & Technology, Pauri Garhwal, India during June 26-27, 2020.

Research

  •  S. Kumar, K. Alam, A. Chauhan, Fractional derivative-based nonlinear anisotropic diffusion model for image denoising, SeMA Journal, Springer, 1-10, 2021. Indexing: Scopus.
  • S. Kumar, N. Kumar, K. Alam, A nonlinear anisotropic diffusion equation for image restoration with forward-backward diffusivities, Recent Advances in Electrical & Electronic Engineering, 14(4), 428-434, 2021. Indexing: Scopus.
  • S. Kumar, K. Alam, A new class of nonlinear hyperbolic-parabolic model for image denoising with forward-backward diffusivity, Mathematics in Engineering Science and Aerospace, 12(2), 435-441, 2021. Indexing: Scopus.
  • S. Kumar, K. Alam, PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity, Computational Methods for Differential Equations, 1-9, 2021. Indexing: Web of Science & ESCI.
  • N. Siddiqui, L. Chaudhary, P. Tripathi, N. Kumar, S. Kumar, A comparative analysis of us and Indian laws against phishing attacks, pp. 1-5, Materials Today: Proceedings, 2021. Indexing: Scopus.
  • S. Kumar, N. Kumar, K. Alam, PDE based time dependent model for image restoration with forward-backward diffusivity, Smart Computing Proceedings of the 1st International Conference on Smart Machine Intelligence and Real-Time Computing (Smart Com 2020), 26-27 June 2020, Pauri, Garhwal, Uttarakhand, India, CRC Press Taylor and Francis, 2021.
  • S. Kumar, K. Alam, N. Kumar, A nonlinear anisotropic diffusion model with forward-backward diffusivities for image denoising, Smart Computing Proceedings of the 1st International Conference on Smart Machine Intelligence and Real-Time Computing (Smart Com 2020), 26-27 June 2020, Pauri, Garhwal, Uttarakhand, India, CRC Press Taylor and Francis, 2021.
  • A.H. Siddiqi, R.C. Singh, S. Kumar, Computational Methods for Conformable Fractional Differential Equations (Book Chapter) in the book Computational Science and Its Applications, CRC Press Taylor and Francis, 2020.
  • V. Mohan, S. Kumar, Analysis of High-Speed Trains, Journal of Critical Review, 7(10), 743-748, 2020. Indexing: Scopus
  • S. Kumar, U. K. Sharma, K. Alam, G. Kishore,  A new PDE-based time-dependent model for image restoration, IJMTT, 65(11), pp. 168-173, 2019, UGC Refereed.
  • S. Kumar, Mohd. Sarfaraz, and M.K. Ahmad, Denoising method based on wavelet coefficients via diffusion equation, Iranian Journal of Science and Technology, Transaction A: Science, 42(2), pp.721-726, 2018, Indexing : SCI & Scopus
  • M.K. Ahmad, M. Sarfaraz , S. Kumar,  Some Recent Developments in Image Restoration,  Indian Journal of Industrial and Applied Mathematics, 9, pp. 37-53, 2018, Indexing : ICI
  • U.K. Sharma, S. Kumar, On generalized *-n-derivations in *-rings, Global Journal of Pure and Applied Mathematics, 13(10), pp. 7561-7572,  2017, Indexing : Scopus
  • S. Kumar, M. Sarfaraz, and M.K. Ahmad, An efficient PDE-based nonlinear anisotropic diffusion model for image denoising, Neural, Parallel and Scientific Computations, 24, pp. 305-315, 2016, Indexing: Scopus
  • S. Kumar, M.K. Ahmad, An efficient PDE-based model for image restoration, Indian Journal of Industrial and Applied Mathematics, 7(1), pp. 26-42, 2016, Indexing: ICI
  • S. Kumar, M.K. Ahmad, Time-Dependent Model for Image Denoising, Journal of Signal and Information Processing, 6, pp. 28-38, 2015, Indexing: Web of Science

Certifications

  • Invited talk on “A new class of nonlinear hyperbolic-parabolic model for image denoising with forward-backward diffusivity in International Conference on Mathematical Analysis and its Applications held at South Asian University New Delhi, India during December 14-16, 2019.
  • Invited talk on “Computational methods for conformable fractional differential equations” organized by Center for Advanced Research in Applied Mathematics and Physics, Sharda University, Greater Noida on 18 October 2019.
  • Attended a two-week refresher course in “The Quintessential Educator-Challenges and Opportunities in the Changing World" from 23 August to 06 September, 2021 organized by Atma Ram Sanatam Dharma College in collaboration with Teaching Learning Centre, Ramanujan College University Delhi.
  • Attended an “Orientation program” organized by Teaching Learning Centre, Ramanujan College University of Delhi during 04 May to 01 July, 2020.
  • Attended a “Refresher course in Mathematics” organized by Teaching Learning Centre, Ramanujan College, University of Delhi during March, 16-30, 2021.

Area of Interest

  • Differential Equations
  • Wavelet Analysis
  • Image Processing.