Dr. Abhay Singh
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Department: Department of Mathematics
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Designation: Assistant Professor
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Email: abhayus72@gmail.com
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Research Area: Differential Geometry, Finsler Geometry, Mathematical Modelling
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Dr. Abhay Singh is serving as Assistant Professor in the Department of Mathematics at C. M. Science College, a constituent unit of Lalit Narayan Mithila University. He has more than 13 years of teaching and research experience in the field of Mathematics.
He obtained his Ph.D. in Mathematics from University of Allahabad in 2009 with research specialization in Finsler Geometry. His areas of academic interest include Differential Geometry, Finsler Geometry, Mathematical Modelling, Wireless Sensor Networks, and applications of Machine Learning in predictive analysis.
Before joining C. M. Science College, Darbhanga, he served at Guru Ghasidas Vishwavidyalaya from August 2012 to December 2017. Since December 2017, he has been actively involved in teaching undergraduate and postgraduate students under Lalit Narayan Mithila University.
Dr. Singh has published several research papers in reputed national and international journals on topics related to geometrical modelling, worm propagation in complex networks, wireless sensor networks, cyber physical systems, and mathematical modelling. His interdisciplinary research integrates mathematics with modern computational and technological applications.
He has also presented research papers in various national and international seminars and conferences organized by reputed universities and academic institutions across India. His dedication towards teaching, research, and student mentoring continues to contribute significantly to academic development in the field of Mathematics.
Recent Publications
- Integration of Machine Learning with Geometric Models for Predictive Analysis of Worm Propagation
Dr. Abhay Singh & Jay Prakash Pathak
Published in International Journal of Applied Engineering and Technology, Vol. 5, No. 2, June 2023. - Geometrical Modeling of Worm Propagation in Complex Networks
Dr. Abhay Singh & Jay Prakash Pathak
Published in International Journal on Recent and Innovation Trends in Computing and Communication, Vol. 10, Issue 11, November 2022. - Simulation and Validation of an Epidemic Model for Wireless Sensor Networks
Dr. Abhay Singh & Chandan Kumar Gandhi
Published in International Journal of Applied Engineering and Technology, Vol. 5, Special Issue S4, July–August 2023. - Proposed Epidemic Model for Performance Evaluation in Wireless Sensor Networks
Dr. Abhay Singh & Chandan Kumar Gandhi
Published in International Journal on Recent and Innovation Trends in Computing and Communication, Vol. 10, Issue 10, September 2022. - Topological Impact Analysis on Wireless Sensor Networks Performance
Dr. Abhay Singh & Rajan Kumar
Published in International Journal of Applied Engineering and Technology, Vol. 5, Special Issue S3, May–June 2023. - A Novel Mathematical Model for Energy-Efficient Wireless Sensor Networks
Dr. Abhay Singh & Rajan Kumar
Published in International Journal on Recent and Innovation Trends in Computing and Communication, Vol. 10, Issue 10, September 2022. - Geometrical Modeling of Worm Propagation in Cyber Physical Systems
Dr. Abhay Singh & Amritesh Chandra Thakur
Published in International Journal of Applied Engineering and Technology, Vol. 5, Special Issue S3, May–June 2023. - Hybrid Geometrical and Statistical Models for Worm Propagation in Wireless Sensor Networks
Dr. Abhay Singh & Amritesh Chandra Thakur
Published in International Journal on Recent and Innovation Trends in Computing and Communication, Vol. 10, Issue 11, November 2022. - Conformal Motion in a Four Dimensional Finsler Space
Dr. Abhay Singh
Published in Turkish Journal of Computer and Mathematics Education (TURCOMAT), Vol. 11, No. 3, 2020.