Educational Background 

Ph. D. (Mathematics) (2016-21)
Department of Mathematics, Jamia Millia Islamia, New Delhi.

UGC-CSIR-NET-JRF June 2015, All India Rank- 56.

M.Sc. Mathematics with Computer Science (2012-14)
Department of Mathematics, Jamia Millia Islamia .

B.Sc. (2009-12) 
Hindu College, Moradabad UP -244001, India
MJP-Rohilkhand University, Bareilly.

Teaching Experience 

•  Courses teaching at BIT-Mesra, Patna campus 
• Applied Mathematics-II (Differential Equations, Fourier Series, Partial Differential Equations,Complex variable, Applied Probability) to B. Tech (CSE),
•  Discrete Mathematics to BCA.
•  Mathematics for Computing to BCA
• Courses taught at NIT Jalndhar Punjab.
• Applied Mathematics-I (Differential Equations, Laplace Transform, Fourier Series and Fourier
  Transform, Z-Transform) to B. Tech (CSE, IT ),
• Applied Mathematics-II (Linear Algebra, Calculus, and Vector Calculus) to B. Tech (Civil),
•  Theory of Wavelet to Msc Math II
• Courses taught at NIT Warangal, Telangana.
• Mathematical foundation for communication Engineering (Linear Algebra+ Probability and
  Random Variables) to M. Tech and PhD,
• Practical Lab-Programming in C++ to Msc Math.
• Courses taught to BSc. students at Zakir Husain Delhi College, University of Delhi.
•  Ring Theory and Linear Algebra II,
•  Practical Lab-Numerical Method by Mathematica,
• Courses taught to BSc. students during Ph.D.
• Numerical Analysis,
• Calculus,
• Analytical Geometry,
• Programming in C.

Application of Wavelets

•  A Knowledge discovery framework for multicriteria ranking based on fuzzy and wavelet methods. Palestine Journal of Mathematics, 2023 (Scopus).
•  A Novel Approach for Denoising Images Based on Diffusion Equation using Wavelets, Journal of Mathematical Control Science and Applications, 2022 (Scopus).
•  An improved Hermite wavelet resolution technique for solving space time fractional partial differential equations, Mathematics and Computer in Simulation, 2022 (SCIE Indexed, 2.4630)
•  Treatment of partially singularly perturbed system of initial and boundary value problems using non-uniform Haar wavelet, TWMS Journal of Applied and Engineering Mathematics, 2021, (Scopus and ESCI Indexed).
• A new approach for solving partial differential equations based on finite difference and Haar wavelet methods, Jordan Journal of Mathematics and Statistics, 14, 2, 307-334, 2021, (Scopus, ESCI Indexed).
• Solution of fourth order parabolic partial differential equation using Haar wavelet and finite difference method, Azerbaijan Journal of Mathematics, Special Issue, 157-170, 2021, (Scopus, ESCI Indexed).
• Wavelet series collocation method for solving neutral delay differential equation, International Journal of Nonlinear Sciences and Numerical in Simulation, 2021 (SCIE Indexed, I.F. 2.007).
• A numerical technique for solving singularly perturbed differential-difference equations and singularly perturbed convection delayed dominated diffusion equations using Jacobi wavelet, Mathematics in Engineering Science and Aerospace (Scopus Indexed) .
• Treatment of singularly perturbed differential equations with delay and shift using Haar wavelet collocation method, Tamkang Journal of Mathematics, 2021 (Scopus and ESCI Indexed)
• Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet, Mathematical Sciences, 15, 123-136, 2021, (SCIE Indexed, I.F. 1.986).
• Solution of the third order Emden Fowler type equation using wavelet method, Engineering computations, Emrald 2020, (SCIE Indexed, 1.322).
• Collocation method based on Gegenbauer and Bernoulli wavelet for solving neutral delay differential equation, Mathematics and Computer in Simulation, Elsevier,180, 72-92, 2020, (SCIE Indexed, 2.4630).
• Non-uniform Haar wavelet method for solving singularly perturbed differential difference equations of neuronal variability, Applications and Applied Mathematics : An international Journal (AAM), Special issue No 6 (April 2020), 56-70, (ESCI Indexed).
• Approximate solution of higher order two point boundary value problems using uniform haar wavelet collocation method, Springer Proceedings in Mathematics and Statistics, 2019.
• Haar wavelet series solution for solving neutral delay differential equations, Journal of King Saud University-Science, 31, 4, 1070-1076, 2019, (SCIE Indexed, I.F. 4.011).

Reviewer in the Journals

• Math Review Database of American Mathematical Society.
• Cogent Mathematics and Statistics.
• Contemporary Mathematics.
• Journal of Computational Science.
•  Journal of Applied Mathematics and Computing.
•  Computer Modelling in Engineering and Sciences Journal.
•  Filomat.
•  International Journal of Ambient Energy.
•  Palestine Journal of Mathematics.
• Journal of Applied Analysis and Computation

Research Papers Presented in National / International Conferences

• Presented a paper “Multi-criteria ranking framework based on fuzzy and wavelet methods” in the International Conference on Dynamical Systems and Numerical Methods, Jamia Millia Islamia, during May 20-21, 2022.
• Presented a paper “Method for denoising Electrocardiogram signal using wavelets ” in the International Conference on Advances in Mechanics, Modelling, Computing and Statistics (ICAMMCS-2022) organized (online) by Department of Mathematics, BITS Pilani - Pilani Campus during March 19-21, 2022
•  Presented a paper “Entitled solution of partially singularly perturbed system of initial and boundary value problems using non-uniform haar wavelet” at The 11th International Conference of Image Processing, Wavelet and Applications on Real World Problems (IWW-2021), 23-24 June, 2021, held at Istanbul Aydin University, Istanbul, Turkey (Online Mode).
• Presented a paper entitled “Method for solving higher order partial differential equations based on finite difference and Haar wavelet methods” at International Conference on Special Functions and Applications (ICSFA-2020), held at Department of Mathematics and Computer Science, Babu Banarasi Das University, Lucknow (India), (Online mode).
• Presented a paper entitled “A new approach for denoising images using diffusion equation and wavelets” at International conference on Mathematical Analysis and Applications (MAA- 2020), 02-04 November 2020, held at Department of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand (Online mode).
• Presented a paper entitled “Approximation of singularly perturbed differential difference equations using Haar wavelet collocation method” at National Conference on Mathematical Modeling with Differential Equations (NCMMDE-2020), 14-17 October 2020, held at PG and Research Department of Mathematics, D G Vaishnav College (Autonomous), Chennai. (Online mode).
• Presented a paper entitled “Solution of fourth order parabolic partial differential equation using Haar wavelet and finite-difference method” at International conference on Mathematical Analysis and its Applications (ICMAA-19), 14-16 December 2019, held at South Asian University, New Delhi.
• Presented a paper entitled “Non-uniform Haar wavelet method for solving singularly perturbed differential difference equations of neuronal variability” at International conference on Mathematical Modelling, Applied Analysis and Computation(ICMMAAC- 19), 8-10 August 2019, held at JECRC University, Jaipur Rajasthan.
• Presented a paper entitled “Solution of partially singularly perturbed system of initial and boundary value problems using non-uniform Haar wavelet” at International Conference on Differential Equations and Control Problems: Modelling, Analysis and Computations (ICDECP-19), 17-19 June, 2019, held at IIT Mandi Himachal.
•  Presented a paper entitled “Approximate solution of higher order two point boundary value problems using uniform Haar wavelet collocation method” at International conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC-18), 6-8 July 2018, held at JECRC University, Jaipur Rajasthan.
• Presented a paper entitled “Approximate solution of second order differential equations using Haar wavelet” at National Conference on Advances in Operations Research and Mathematical Sciences, 24-25 Feb 2018, held at Vardhaman College Bijnor U.P.

Conferences / Workshop / Short Term Training Course / Advanced School / Teacher Enrichment Workshop attended

• Participated in the One Week Online National Workshop on “ Mathematical Modelling with Simulations in Applied Sciences  (MMWSAS-2023) ” organized by the Department of Mathematics, Central University of Haryana, Mahendergarh, from May 22 – 26, 2023. 
• Attended National Seminar on Recent Developments in Applied Mathematics held at School of Mathematics, Kumaraguru College of Liberal Arts and Science, Coimbatore, Tamil Nadu, India on 11/30/2020 (Online mode).
•  Participated in National webinar on General Measure and Integration held at PG and Research Department of Mathematics, D G Vaishnav College (Autonomous), Chennai on. (Online mode).
•  Participated in TEQIP-III Sponsored Short Term Training Program on Advanced Computational Techniques in Engineering Sciences and Mechanics at Department of Mathematics, NIT Uttarakhand, Srinagar (Garhwal) during 24-28 Feb, 2020.
• Attended International Workshop on Numerical Methods in Scientific Computing, 21-22 February 2020 at South Asian University, New Delhi, India.
• Attended Teacher Enrichment workshop on Linear Algebra, Coding Theory and Cryptography 2019 held at Janki Devi Memorial College, Delhi, during 18-23 November, 2019.
• Participated in Instructional School for Teachers on Partial Differential Equations from Theory to Computation at IIT Mandi, Himachal during 03-15 June, 2019.
• Attended International Workshop on Fixed Point Theory and Applications held at Jamia Millia Islamia, New Delhi, during 15-17 March, 2019.
• Participated in Indo-French Research Workshop on Theory and Simulation of Hyperbolic PDEs Arising in Mathematical Biology and Fluid Flow held at Department of Mathematics, BITS-Pilani Rajasthan, during 5-11 January, 2019.
• Participated in National Winter School on Differential Equations held at Savitribai Phule Pune University, Department of Mathematics, during 3-14 December, 2018.
• Attended Short term course on Integral Transform, Distributions and Wavelet Analysis held at IIT- ISM Dhanbad, Jharkhand, during 08-12 October, 2018.
•  Attended Teacher Enrichment workshop on Differential Equations, Mathematical Modelling and Analysis held at Deshbandhu College, New Delhi, during 24-29 July, 2018.
• Participated in GIAN - Course on Theory and Application of Wavelets and Framelets at IIT Indore, Indore (MP), During 28 Dec 2017-04 Jan 2018.
• Participated in Workshop on How to write and publish scholarly articles, 24 Aug-2017, Jamia Millia Islamia, New Delhi. Organized by Springer Nature.
• Attended National Workshop on Mathematical Modelling and Computational Techniques Using Mathematica, 30 - 31 March 2017, Zakir Husain Delhi College, University of Delhi, Jawahar Lal Nehru Marg, New Delhi.
• Attended International Conference on Differential Geometry, Algebra, Analysis and Application, 15- 17 November 2016, held at Jamia Millia Islamia, New Delhi.