Assistant Professor P. Parameswari is a dedicated Mathematics faculty member with 17 years and 7 months of teaching experience in engineering education. She is currently serving as Assistant Professor and Head of the Department of Mathematics at R.P. Sarathy Institute of Technology, Salem (2024–Present), where she leads the mathematics department and is actively engaged in graph-theoretical research, topological indices and mathematical modelling.

Previously, she served as Assistant Professor and Head of the Department of Mathematics at Mahendra College of Engineering, Minnampalli, Salem (2010–2024), where she contributed to curriculum development and academic administration. Prior to this, she held the position of Lecturer in the Department of Mathematics at Vivekananda Institute of Engineering and Technology for Women, Tiruchengode (2008–2010).

Research & Publications

Assistant Professor Parameswari has developed a strong research profile in Graph Theory, Topological Indices, Molecular Graphs, QSPR/QSAR Analysis, Network Analysis, Mathematical Modelling, Data Analytics and Statistical Computing. She is currently pursuing her Ph.D. in Mathematics from Vels University, Chennai, with her research focusing on "Certain Degree and Distance Based Topological Indices of Some Graphs" under the supervision of Dr. S. Meenakshi. Her synopsis has been submitted.

Her research output includes 4 published research papers in peer-reviewed international journals and conference proceedings:

• "Association of ABC-Index with Other Topological Indices" published in the International Journal of Applied Mathematics, 2025
• "Topological Indices and Regression Models for QSPR Analysis of Certain Alzheimer's Drugs" in the International Journal of Computer Information Systems and Industrial Management Applications, 2026
• "Topological Indices of Certain Antiviral Drug Compound Involved in Different Eras of Hair Colouring Dye" in Tuijin Jishu/Journal of Propulsion Technology, 2024
• "AI-Driven Elastography Image Analysis for Accurate Breast Cancer Diagnosis" co-authored for the International Journal for Research in Applied Science & Engineering Technology (IJRASET), 2024, with an SJ Impact Factor of 7.538

She has also presented 6 papers at international conferences and participated in 23 international conferences during her academic career.

Patents, Books & Scholarly Contributions

Assistant Professor Parameswari has made substantial contributions to scholarly publishing. She has authored 4 books published by reputable academic publishers:

• Transforms and Partial Differential Equations (San International Scientific Publications, ISBN: 978-81-971289-8-1)
• Data Analytics and Statistical Computing (Stanzaleaf Publications, ISBN: 978-81-685-5633-1)
• Infinite Patterns Exploring Mathematical Theories (Stanzaleaf Publications, ISBN: 978-81-984818-3-2)
• An additional book on mathematics and applications

She has also contributed 2 book chapters to edited volumes, including "Numerical Simulations of Fractional Burger Equations and Its Applications" in Mathematics Beyond Frontiers: Recent Developments and Interdisciplinary Connections and "Modeling COVID-19 Disease Spread Using Differential Equations" in Mathematical Modeling and Simulation for Intelligent Computing in the Digital Era.

Her innovation portfolio includes 4 patents in the design category:

• Solar Energy Panel with Integrated Heat Pipes for Efficiency (Design Application no. 425939-001, published 06 Aug 2024)
• Portable Diabetes Analysis Device (Design Application no. 469854-001, published 15 Aug 2025)
• AI-Based Graph Theoretic Drug Repositioning Framework for Cancer Therapy Using Topological Protein Interaction Mapping (Design Application no. 202641067313 A, published 19 June 2026)

Teaching & Academic Contributions

Throughout her career, Assistant Professor Parameswari has taught a diverse range of 12 core mathematics subjects, including Engineering Mathematics I and II, Probability and Queueing Theory, Numerical Methods, Transforms and Partial Differential Equations, Linear Algebra, Data Analytics and Statistical Computing, and Operations Research. She has consistently delivered quality instruction in theoretical and applied mathematics courses within engineering programmes.

Her academic contributions extend beyond classroom teaching. She has served in academic leadership roles as Head of the Department of Mathematics at two institutions, overseeing curriculum development, departmental operations and faculty coordination.

Faculty Development & Professional Engagement

Assistant Professor Parameswari is deeply committed to continuous professional development and institutional engagement. She has completed 3 NPTEL online certifications, including elite certifications in Calculus of Several Variables and Transforms Calculus and its Applications in Differential Equations. She has also successfully obtained certifications in Graph Theory through NPTEL.

She has actively participated in 25 Faculty Development Programmes covering topics such as optimization techniques, biomedical signal processing, mathematical modelling, machine learning applications, real-world mathematics applications, ethical AI and sustainable energy systems. Additionally, she has attended 23 workshops and participated in 24 national seminars, demonstrating her commitment to staying current with developments in mathematics education and research.

Currently, she is serving as an Innovation Ambassador under the Institution's Innovation Council (IIC), contributing to fostering innovation and entrepreneurship within her institution.

Technical Skills & Expertise

Assistant Professor Parameswari possesses strong technical competencies in mathematical and statistical computation, data analytics and statistical computing, MATLAB programming, Graph Theory applications, hardware and networking, and CCNA certification. These skills enable her to effectively teach computational aspects of mathematics and conduct research involving data analysis and mathematical modelling.

Eligibility for Emerging Researcher Award

Assistant Professor P. Parameswari exemplifies the profile of an emerging researcher with significant scholarly contributions. Her 17+ years of dedicated teaching experience, research engagement in graph theory and topological indices, 4 published research papers in international journals, 2 book chapters, 4 patents, 4 authored books, and active participation in 23 international conferences and 25 faculty development programmes collectively demonstrate a strong commitment to research and academic excellence. Her current doctoral research in graph-theoretical applications and her sustained engagement with contemporary research methodologies further strengthen her profile as a researcher committed to advancing knowledge in mathematics and its applications.

Based on her research output, scholarly publications, patents, books, continuous professional development and academic contributions, Assistant Professor P. Parameswari is eligible for consideration for the Emerging Researcher Award in Scientific Laurels, particularly in recognition of her contributions to research in graph theory, topological indices, mathematical modelling and data analytics.