Faculty
Dr. Varun Kumar
Professor
Alliance School of Applied Mathematics
Dr. Varun Kumar, Ph.D. in Mathematics, is currently working as a Professor in the Department of Pure and Applied Mathematics. He brings over 22 years of diverse teaching and research experience, including four years as a professor at international universities. He has demonstrated academic excellence by qualifying in highly competitive national examinations, including the National Board of Higher Mathematics Examination (2004) conducted by the Tata Institute of Fundamental Research, securing a position among the top 20 candidates in GATE 2006 (AIR-161), and JAM 2005 (AIR-131).
A prolific researcher and innovator, Dr. Kumar holds three international patents and two Indian patents. He has published over 20 research articles in reputed journals, authored the book A Textbook of Matrices, and has successfully supervised five Ph.D. scholars in Mathematics.
Dr. Kumar has a strong academic foundation in both pure and applied mathematics, with particular expertise in computational algebra and differential equations. His teaching experience covers a wide spectrum of subjects, including Abstract and Linear Algebra, Real and Complex Analysis, Integral Transformation, Numerical Methods, Probability & Statistics, Operations Research, and Ordinary and Partial Differential Equations. His research interests lie in cryptography, mathematical modelling, and image processing.
He has successfully organized one international conference, one national conference, and four Faculty Development Programs fully funded by the Ministry of Electronics and Information Technology, Government of India, in collaboration with NIT Warangal.
- Kumar, V., et al. (2026). Finite–N scaling, gelation cutoff, and matched asymptotic for Smoluchowski coagulation equation. Bound Value Probl. Springer Nature. (SCI, Q1) ) I.F. 2.1. Cite score 3.2. https://doi.org/10.1186/s13661-026-02222-y
- Kumar, V., et al. (2025). An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation. Mathematics, 13(8), 1233. ISSN: 2227-7390 2025 (SCI, Q1) I.F. 2.2. Cite score 4.0. DOI: 10.3390/math13081233.
- Kumar, V., et al. (2025). A machine-learning approach to weight approximation for a new family of orthogonal polynomials. AIMS Mathematics (SCI, Q1) I.F. 1.8. Cite score 3.1, 10(8), ISSN: 2473-6988 pp18861-18886. DOI: 10.3934/math.2025843.
- Kumar, V., et al. (2025). Data-Driven Insights for Enhancing Financial Well-Being Among College Students. Proceedings of Data Analytics and Management. ICDAM 2025. Lecture Notes in Networks and Systems, vol 1603. Springer Nature, Cham. https://doi.org/10.1007/978-3-032-03769-5_30
- Kumar, V., et al. (2025). AI-Driven Education Loan Approval Automation for Indian Banks. Innovative Computing and Communications. ICICC 2025. Lecture Notes in Networks and Systems, vol 1432. Springer, Singapore. ISSN: 23673370. pp 433 - 443. DOI: https://doi.org/10.1007/978-981-96-6715-4_30
- Kumar, V., et al. (2025). Deepfake detection: A new frontier in cybersecurity for protecting digital identities, preventing misinformation, and ensuring data integrity,Journal of Discrete Mathematical Sciences and Cryptography, 28:8, ISSN: 0972-0529, 3013–3023, (SCI, Q1) I.F. 1.1. Cite score 3.1 DOI: 10.47974/JDMSC-2445
- Kumar, V., et al. (2024). AI-Based Sales Model Frameworks for Optimizing Resource Allocation and Scheduling. International Conference on Augmented Reality, Intelligent Systems, and Industrial Automation (ARIIA), Manipal, India, 20-21 Dec 2024, pp. 1-6, DOI: 10.1109/ARIIA63345.2024.11051757. ISBN No. 978-1-6654-3888-9 (IEEE publication). https://ieeexplore.ieee.org/document/11051757/authors#authors
- Kumar, V., et al. (2024). A taxonomy on high-performance computing security management system, 2024. International Conference on Augmented Reality, Intelligent Systems, and Industrial Automation (ARIIA), Manipal, India, 2024, pp. 1-6. DOI: 10.1109/ARIIA63345.2024.11051756 https://ieeexplore.ieee.org/document/11051757/authors#authors
- Kumar, V., et al. (2022). Breast Cancer Diagnosis Using Bagging Decision Trees with Improved Feature Selection. Engineering Proceedings, 59(1), 17. https://doi.org/10.3390/engproc2023059017
- Kumar, V., et al. (2022). Contractions with comparison function in the extended cone 2-metric space. ECS Transactions, 107(1), 20321 (2022). https://doi.org/10.1149/10701.20321ecst
- Fixed point theorems using comparison function view to dislocated quasi-metric spaces. ECS Transactions, 107(1), 11969. https://doi.org/10.1149/10701.11969ecst
- Kumar, V., et al. (2020). An image-based gangrene disease classification. International Journal of Electrical and Computer Engineering (IJECE), 10(6), 6001–6007. https://doi.org/10.11591/ijece.v10i6.pp6001-6007
- Kumar, V., et al. (2021). Segmentation and prediction of lung cancer CT scans through nodules using ensemble deep learning approach. 2021 IEEE MysuruCon, 781–785. https://doi.org/10.1109/MysuruCon52639.2021.9641698
- Kumar, V., et al. (2018). Mathematical modeling for immune system response to herpes viral attack. Commission for Scientific & Technical Terminology (CSTT), Ministry of Education, Government of India. ISBN: 978-039-8652-575-9.
- Kumar, V., et al. (2018). A statistical analysis on demand of security devices in India. International Conference on Recent Developments in Science, Technology, Humanities and Management, ICRDSTHM2017(2), 11–14. Foundation of Computer Science (FCS), NY, USA. Available at: /proceedings/icrdsthm2017/number2/29316-7021/.
- Kumar, V., et al. (2017). Generalized Laguerre transform and convolution of Laguerre transformable generalized functions. Journal of Emerging Technologies and Innovative Research, 4(7), 419–426. https://www.jetir.org (ISSN-2349-5162)
- Kumar, V., et al. (2015). Mathematical modeling to enhance security feature for password authentication using MATLAB. Indian Journal of Scientific Research, 6(1), 163–168. ISSN: 0976-2876 (Print), 2250-0138.
- Kumar, V., et al. (2007). Telehealth and artificial doctor: Two technological hands for remote villages in India – A report. Proceedings of NCMMCS, 324–335. Narosa Publication. ISBN: 978-81-7319-882-3.
- Kumar, V., et al. (2010). On convergence of Hopfield neural networks for real-time image matching. International Journal on Emerging Technologies, 1(2), 1–4. ISSN: 0975-8364.
- Kumar, V., et al. (2009). "Click to Zoom-Inside Graphical Authentication," 2009 International Conference on Digital Image Processing, Bangkok, Thailand, 2009, pp. 238-242, IEEE proceedings. doi: 10.1109/ICDIP.2009.65.
Book & Book Chapters:
- Kumar, V., & Pathak, P. N. (2021). A text book of matrices. Sahitya Ratnalaya. ISBN: 9789389621099.
- Kumar, V., & Yadav, S. (2021). Time series forecasting using support vector machines. In Recent advances in time series forecasting (1st ed., p. 11). CRC Press. eBook ISBN: 9781003102281.
Workshop/ Conferences Organized or Coordinated:
- Organizing secretary of two days international conference ICDDSSH-2022 at Sabarmati University Ahmedabad India dated 29-30 July 2022.
- Organized Faculty development program sponsored by Ministry of Electronics and Information Technology (MeitY), GOI organized jointly by Sabarmati University and E & ICT Academy, NIT Warangal entitled “Contemporary research trends and technologies in the field of commerce and management” during 1-10th February 2022. https://www.nitw.ac.in/eict/aictsabarmati1.php
- Organized Faculty development program sponsored by Ministry of Electronics and Information Technology (MeitY), GOI organized jointly by Sabarmati University and E & ICT Academy, NIT Warangal entitled “Application of Information and Communication Technology in the Realms of Academic Discourse and Academic Research” during 21-30th December 2021. https://www.nitw.ac.in/eict/aictsabarmati1.php
- Organized Faculty development program sponsored by Ministry of Electronics and Information Technology (MeitY), GOI organized jointly by Sabarmati University and E & ICT Academy, NIT Warangal entitled “Image Processing and its applications” during 1-10th December 2021. https://www.nitw.ac.in/eict/aictsabarmati1.php.
- Organized Faculty development program sponsored by Ministry of Electronics and Information Technology (MeitY), GOI organized jointly by Sabarmati University and E & ICT Academy, NIT Warangal entitled “Recent Trends in Soft Computing Techniques” during 20-29th October 2021. https://www.nitw.ac.in/eict/aictsabarmati1.php.
- Convener of the STC organized by Sabarmati University entitled “Research Interest in Pure & Applied Science” during 15-19th November 2021.
- Convener of workshop on “Make in India: Effects in Science and Engineering” organized on National Science Day 2017 at Vidya college of Engineering, Meerut, India.
- Convener of workshop on “Global warming” organized on National Science Day’16 at Vidya college of Engineering, Meerut, India 28th February 2016.
- Co-Convener of one day workshop on “Cloud Computing” in association with TAI-Infotech at Vidya college of Engineering, Meerut, India, on 10th August 2013.
- Co-Convener of “National Conference of Spectrum of Information Technology Development at India’s Perspective” (SIT@IP-2012) held at BB College, Tarntaran, Amritsar, India, on 17-18 February 2012.
Invited Talk/Lecture :
- Kumar, V. (2022, August 2). Lecture on advanced trends in computational mathematics, statistics, and operations research. International Conference on Advance Trends in Computational Mathematics, Statistics and Operations Research (ICCMSO-2022), North Cap University, Gurgram, India.
- Kumar, V. (2021, December 1–10). Image processing and its applications. Faculty Development Program (FDP) sponsored by Ministry of Electronics and Information Technology (MeitY), GOI, organized jointly by Sabarmati University and E & ICT Academy, NIT Warangal.
- Kumar, V. (2021, October 20–29). Recent trends in soft computing techniques. Faculty Development Program (FDP) sponsored by Ministry of Electronics and Information Technology (MeitY), GOI, organized jointly by Sabarmati University and E & ICT Academy, NIT Warangal.
- Kumar, V. (2018, August 29–30). Lecture on quality education in a global perspective. International Conference on Quality Education in Global Perspective, Calorx Teachers’ University, Ahmedabad, India.
- Kumar, V. (2018, March 14). Talk on computational and integrative sciences. National Seminar organized by Commission of Scientific and Technical Terminology, MHRD & School of Computational and Integrative Sciences, JNU, New Delhi, India.
- Kumar, V. (2004, October 11). Talk on Lagrange Theorem. Workshop on the research work of Harish Chandra, V. S. S. D. College, Kanpur, India.
- Kumar, V. (2003, October 11). Talk on the application of functional analysis. Workshop on the research work of Harish Chandra, V. S. S. D. College, Kanpur, India.
