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Educational Qualifications

• M.Phil. in Mathematics – Department of Mathematics, University of Delhi
• M.Sc. in Mathematics – Department of Mathematics, Banaras Hindu University (BHU)

Achievements

• Qualified the UGC-CSIR National Eligibility Test (NET) with Junior Research Fellowship (JRF).
• Awarded the prestigious DAAD (German Academic Exchange Service) Short-Term Fellowship by the Government of Germany in 2012 to undertake a six-month research visit at a German university.

Academic Positions

• Associate Professor, Atma Ram Sanatan Dharma College, University of Delhi
  2024 – Present

• Assistant Professor, Atma Ram Sanatan Dharma College, University of Delhi
  2016 – 2024

• Assistant Professor (Ad Hoc), Motilal Nehru College (Evening), University of Delhi
  2010 – 2016

Wavelet Analysis and Mathematical Modelling

• Algebra

• Calculus

• Real Analysis

• Differential Equations

• Complex Analysis

Selected Publications

• Kumar, A. and Abdullah, A. (2026). Existence, Stability, and Numerical Analysis of a Fractional Tumor–Dystrophin Interaction Model Using the Hermite Wavelet Method. Iranian Journal of Science and Technology, Transactions of Electrical Engineering.

• Kumar, A., Khan, A., and Abdullah, A. (2024). Fibonacci Wavelet Collocation Method for Solving the Dengue Fever SIR Model. Mathematics, 12(16), 2565.

• Kumar, S., Kumar, A., Gupta, P., Prasad, R. P., and Kumar, P. (2024). Synchronization of Chaotic Satellite Systems with Fractional Derivatives Analysis Using Feedback Active Control Techniques. Symmetry, 16(10), 1319.

• Kumar, A. and Gupta, P. (2024). On Some Results Related to Non-Uniform Tight Wavelet Frames. International Journal of Analysis and Applications, 22, 166.

Patents

• A System and Method for Optimizing 3D Geometric Transformations in Computer Graphics (2025).

• Mathematical Problem Solving Device (2025).

• Innovative Hydrogen Powered Air Conditioning Units for Smart Homes (2026).

NATIONAL & INTERNATIONAL CONFERENCES ATTENDED:

•  Participated in National workshop on Analysis (UGC-SAP Programme), department of Mathematics, University of Delhi, September 27-28, 2007.
•  Participated in International conference on Operator theory and related areas (UGC- SAP,CSIR ,funded), department of Mathematics, University of Delhi ,January 9-12, 2008.
•  Participated in Instructional workshop on Harmonic analysis at IIT Kanpur, May 14-18, 2008.
•  Participated in Pre-ICM International convention on Mathematical Sciences at University of Delhi, December 18-20, 2008.
•  Participated in Research Scholar seminar organized under UGC-DRS (SAP) programme of the Department of Mathematics, University of Delhi,January 22-23, 2009.
•  Participated in Advanced Training in Mathematics for Lecturers (ATML) on Complex analysis with modern perspectives, Department of Mathematics, University of Delhi, March 16-April 4, 2009.
•  Participated in International Congress of Mathematician (ICM), Hyderabad, August 19-27, 2010.
•  Participated in International Conference ‘The Legacy of Srinivasa Ramanujan’ University of Delhi, December17-22, 2012.
•  Participated in the workshop on foundation course ‘Building Mathematical  Ability’, CPDHE, University of Delhi, June 18-20, 2013.
•  Participated in the orientation programme(OR-85),UGC-HRDC at CPDHE University of Delhi, May 20 to June 17, 2016.

• Coordinator, Dept. of Mathematics (2026-27)
• Convenor, Academic Planning Committee (2025-27)
• Member, Library Committee (2024-26)
• Member, Academic Planning Committee (2018-20, 2021-2023)
• Member of NAAC College Committee (Research & Projects)
• Member of the attendance committee (2016-17)
• Member of sports board (Table Tennis, 2016-17)
• Member of the Star College Scheme (funded by the Department of Biotechnology, Govt. of India).