Dr. J. Balamurugan

• Functional Analysis.
• Fixed Point Theory

• Calculus and Linear Algebra
• Advanced Calculus and Complex Analysis
• Transforms and Boundary Value Problems
• Mathematics (LE)
• Numerical Methods for Engineers
• Probability and Queuing Theory
• Probability and Random Processes
• Discrete Mathematics for Engineers
• Probability and Statistics
• Calculus of Variations and Non-Linear Programming
• Statistics and Quantitative Techniques
• Resource Management Techniques
• Mathematical Foundations for Computer Science

• Assistant Professor, SRM University, Vadapalani campus, August 2011 onwards
• Lecturer, Veltech High Tech Engineering College, Anna University, 2008-2011
• Lecturer, Immaculate College for Women’s, Thiruvalluvar University, 2007-2008.

• Excellent teacher award from SRM University, Vadapalani campus, 2011-2012.
• Received “certificate of Teaching excellence “award from SRM University, Vadapalani campus on 2016.

• J. Balamurugan and C. Rajesh, “Solution of Integral Equation Via Common Fixed Point Results For (Ψ, Β)-Geraghty Contraction Type Maps In b−Metric Spaces”, South East Asian Journal of Mathematics and Mathematical Sciences, Vol. 21, No. 2 (2025), pp. 271-286, 2025.
• J. Balamurugan and C. Rajesh, “Exploring fixed points in b-metric spaces using weakly contractive mappings”, Journal of Interdisciplinary Mathematics, Vol. 28 (2025), No. 5, pp.1847–1857, 2025.
• J. Balamurugan and C. Rajesh, “Unique Fixed Point Results For Contraction Maps in b− Metric Spaces”, Palestine Journal of Mathematics, Vol. 14(Special Issue II)(2025), no.47, pp. 420–426, 2025.
• J. Balamurugan and B. Baskaran, Characterization of 2-Normed Linear Spaces, AIP Conference Proceedings 2516, 1900–13 (2022).
• C. Rajesh, B. Baskaran, and J. Balamurugan,Some results on fixed point theorems in complete 2-metric spaces by using expansive e mappings, AIP conference proceedings 2282, 020037 (2020).
• J. Balammurgan and J. Maria Joseph, Fixed point theorems for linear contractions in ordered metric spaces,” Global Journal of Pure and Applied Mathematics, Vol. 12, 2016, no. 2.

ONLINE COURSE CERTIFICATIONS:

• Completed the online course “Probability Theory for Data Science” through NPTEL (Jul-Oct 2025)
• Completed the online course “Calculus of One Real Variable” through NPTEL (Jul-Sep 2025)
• Completed the online course “Probability and Statistics” through NPTEL (Jan-Apr 2024)
• Completed the online course “Multivariable Calculus” through NPTEL (Jan-Mar 2023)
• Completed the online course “Graph Theory” through NPTEL (Jan-Mar 2023)
• Completed the online course “Introduction to Abstract and Linear Algebra” through NPTEL (Jul-Sep 2022)
• Completed the online course “Discrete Mathematics” through NPTEL (Jul-Oct 2022)
• Completed the online course “An Introduction to Functional Analysis” offered by École Centrale Paris through Coursera (Dec 2014)
• Completed the online course “Calculus Two: Sequences and Series” offered by The Ohio State University through Coursera (May 2014)
• Completed the online course “Massively Multivariable Open Online Calculus Course” offered by The Ohio State University through Coursera (May 2014)
• Completed the online course “Calculus: Single Variable” offered by University of Pennsylvania through Coursera (Apr 2014)

CONFERENCES/SEMINAR/FDP ORGANIZED

• Coordinator for the International Conference on Innovations and Recent Trends in Applied Mathematics (ICIRTAM’26), May 8th and 9th, 2026.
• Technical Coordinator for the One Week Online Faculty Development Program on “Applications of Mathematical & Statistical Techniques in Health Care (SDG-3)”, 8th December 2025 to 12th December 2025.
• Treasurer and Publications Coordinator for the International Conference on Innovations and Recent Trends in Applied Mathematics (ICIRTAM’25), February 21st and 22nd, 2025.
• Participated in the One Week Online Faculty Development Program on “Statistical Applications & Data Analytics for Modern Research”, from 17th December to 22nd December 2024.
• Participated in the One Week International Faculty Development Program on “Essential Mathematics for Machine Learning, Deep Learning and Cyber Security”, from 18th October to 25th October 2024.
• Participated in the National Level Mathematical Symposium (ENIGMA’24), 22nd and 23rd April 2024.
• Participated in the Fifth National Conference on Recent Trends in Mathematics and its Applications (NCRTMA’24), from 16th April 2024 to 17th April 2024.
• Participated in the Expert Talk on “Calculation is a Part of Life” delivered by Dr. S. Thirumagan, former Controller of Examinations, University of Madras, Chennai, on 18th April 2023.

CONFERENCES PAPER PRESENTED

• Presented a paper titled “Fixed Point Results for F-Contractions in Asymmetric b-Metric Spaces” at the International Conference on Innovations and Recent Trends in Applied Mathematics (ICIRTAM’26), held on May 8th and 9th, 2026.
• Presented a paper titled “Fixed-Point Results for (?, ?)-Geraghty F-Contractions in b-Metric Spaces with Applications” at the International Conference on Innovations and Recent Trends in Applied Mathematics (ICIRTAM’26), held on May 8th and 9th, 2026.
• Presented a paper titled “F-Contractive Mappings in b-Metric Spaces: A Fixed Point Approach with Applications” at the International Conference on Innovations and Recent Trends in Applied Mathematics (ICIRTAM’25), held on February 21st and 22nd, 2025, at SRMIST, Vadapalani, Chennai.
• Presented a paper titled “Application of Fixed Point Techniques in b-Metric Space via (?, ?)-Geraghty F-Contraction-Type Maps” at the International Conference on Innovations and Recent Trends in Applied Mathematics (ICIRTAM’25), held on February 21st and 22nd, 2025, at SRMIST, Vadapalani, Chennai.
• Presented a paper titled “Unique Fixed Point Results for (?, ?)-Geraghty Contraction Type Maps in b-Metric Spaces” at the National Conference on Recent Trends in Mathematics & its Applications, organized by the Department of Mathematics, held on April 16th and 17th, 2024, at SRMIST, Vadapalani, Chennai.
• Presented a paper titled “The Integral Role of Mathematics in Automation: A Comprehensive Overview” at the National Conference on Recent Trends in Mathematics & its Applications, organized by the Department of Mathematics, held on April 16th and 17th, 2024, at SRMIST, Vadapalani, Chennai.
• Presented a paper titled “Understanding the Relation Between Linear Algebra and Machine Learning” at the National Conference on Recent Trends in Mathematics & its Applications, organized by the Department of Mathematics, held on April 16th and 17th, 2024, at SRMIST, Vadapalani, Chennai.
• Presented a paper titled “The Role of Eigen Values and Eigen Vectors in AI and ML” at the National Conference on Recent Trends in Mathematics & its Applications, organized by the Department of Mathematics, held on April 16th and 17th, 2024, at SRMIST, Vadapalani, Chennai.

CONFERENCES/SEMINARS/FDP PARTICIPATED

• Participated in the National Level Online Five-Day Faculty Development Programme on “Information Theory and Mathematical Entropy in Artificial Intelligence”, organized by Jerusalem College of Engineering (Autonomous), held from 17th February 2026 to 21st February 2026.
• Participated in the Seven-Day National Faculty Development Programme on “Advances in Nonlinear Dynamics and Applications in Engineering (ANDAE-2025)”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, from 21st to 28th April 2025.
• Participated in the Five-Day Online Faculty Development Programme on “LaTeX”, organized by the Department of Applied Science, MIET, Meerut, on 9th, 23rd and 30th November 2024 and 7th and 14th December 2024.
• Participated in the International Faculty Development Programme on “Recent Advances in Teaching and Research on Sustainable Development in Commerce”, organized by Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, from 11th to 17th December 2024.
• Participated in the International Faculty Development Programme on “Innovative Applications of Mathematics”, organized by the Department of Mathematics, Bapatla Engineering College (Autonomous), Bapatla, from 18th to 23rd November 2024.
• Participated in the Faculty Development Programme on “Recent Frontiers in Pure & Applied Mathematics”, organized by Kongunadu Arts and Science College (Autonomous), Coimbatore, from 11th to 15th November 2024.
• Participated in the National Level Five-Day Virtual Faculty Development Programme entitled “SEPT@360 - Skill Enhancement Program for Teachers”, organized by IQAC of SMCE & SVCAS, held from 2nd to 6th September 2024.
• Participated in the Expert Talk on “Artificial Intelligence & its Application in Defence”, organized by SRMIST, Ramapuram, Chennai, on 28th February 2024.
• Participated in the Faculty Development Programme on “Research Methodology: Ethics & Publications”, organized by the IQAC and PG & Research Department of Mathematics, Theivanai Ammal College for Women (Autonomous), Villupuram, from 22nd to 26th January 2024.
• Participated in the International Faculty Development Programme on “Applications of Mathematics in Various Fields with Innovative Approaches”, organized by the Department of Mathematics, Bapatla Engineering College (Autonomous), Bapatla, from 21st to 25th November 2023.
• Participated in the Faculty Development Programme on “Outcome Based Education”, organized by SRMIST, Vadapalani, Chennai, from 23rd to 24th September 2023.
• Participated in the International Faculty Development Programme on “Frontiers of Mathematics”, organized by SRMIST, Ramapuram, Chennai, in collaboration with “1 Decembrie 1918 University” of Alba Iulia, Romania, from 5th to 19th July 2023.
• Participated in the International Faculty Development Programme on “Mathematics in Real Applied and Computational Domains”, organized by Sathyabama Institute of Science and Technology, Chennai, from 3rd to 8th July 2023.
• Participated in the Faculty Development Programme on “Research Project Proposals”, organized by SRMIST, Chennai, on 7th July 2023.
• Participated in the Faculty Development Programme on “Applications of Fuzzy Set Theory in Data Science”, organized by VIT, Chennai, from 19th to 23rd June 2023.
• Participated in the Faculty Development Programme on “UHV-1”, organized by the All India Council for Technical Education (AICTE), New Delhi, from 22nd to 26th May 2023.
• Participated in the Faculty Development Programme on “Recent Trends in Graph Theory”, organized by VIT, Chennai, from 8th to 12th May 2023.
• Participated in the Faculty Development Programme on “Regression Analysis in Research”, organized by VIT, Chennai, from 24th to 28th April 2023.
• Participated in the Faculty Development Programme on “Innovative Research Techniques for Data Analysis and Interpretation”, organized by SRMIST, Chennai, on 4th March 2023.
• Participated in the Faculty Development Programme on “Optimization Techniques Using Mathematical Methods and Evolutionary Algorithms”, organized by VIT, Chennai, from 13th to 17th February 2023.
• Participated in the Faculty Development Programme on “Recent Trends in Mathematics and its Applications”, organized by AICTE–Skill & Personality Development Center, from 6th to 11th February 2023.
• Participated in the Faculty Development Programme on “Ethics in Academic Research Writing”, organized by AMET University, Kanathur, Tamil Nadu, from 1st January to 4th February 2023.
• Participated in the Faculty Development Programme on “Understanding Student Psychology”, organized by SRMIST, CSH, Chennai, on 26th December 2022.
• Participated in the International Faculty Development Programme on “Current Trends in Applications of Mathematics”, organized by Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, from 21st September to 4th October 2022.
• Participated in the Faculty Development Programme on “Research Perspectives in Mathematics and its Applications”, organized by Sathyabama Institute of Science and Technology, Chennai, from 4th to 16th July 2022.
• Participated in the International Faculty Development Programme on “Frontiers of Mathematics”, organized by SRMIST, Ramapuram, Chennai, from 19th May to 2nd June 2022.
• Participated in the Faculty Development Programme on “Mathematical Modeling in Real-Life Problems”, organized by VIT, Chennai, from 21st to 26th April 2022.
• Participated in the Short-Term Training Programme (STTP) on “Algebra and Analysis”, organized by SRMIST, Kattankulathur, from 13th to 18th December 2021.
• Participated in the International Faculty Development Programme on “Recent Research Advances in Mathematics”, organized by St. Joseph’s College, Kovur, Chennai, from 4th to 9th October 2021.
• Participated in the Short-Term Training Programme (STTP) on “Quality Enhancement of Research in HEIs”, organized by PSGR Krishnammal College for Women, Coimbatore, from 23rd to 25th September 2021.
• Participated in the International Faculty Development Programme on “Teaching, Learning and Research Pedagogy for Excellence in Education”, organized by St. Joseph’s College, Chennai, from 20th to 24th September 2021.
• Participated in the Faculty Development Programme on “Research Advances in Mathematics and its Applications”, organized by the Department of Mathematics, Sathyabama Institute of Science and Technology, Chennai, from 2nd to 14th August 2021.
• Participated in the Faculty Development Programme on “Advancing Towards Sustainable Teaching and Learning Pedagogy”, organized by DBT Star Departments, Kongu Arts and Science College, Erode, from 2nd to 6th August 2021.
• Participated in the International Faculty Development Programme on “Frontiers of Mathematics”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, from 19th to 28th July 2021.
• Participated in the International Faculty Development Programme on “Mathematics and Statistics in Emerging Fields”, organized by KPR Institute of Engineering and Technology, Coimbatore, from 5th to 10th July 2021.
• Participated in the Webinar on “Recent Trends in Mathematics”, organized by the PG Department of Mathematics and IQAC, from 23rd to 28th June 2021.
• Participated in the Faculty Development Programme on “Number Theory & its Applications”, organized by Gates Institute of Technology, Andhra Pradesh, from 14th to 19th June 2021.
• Participated in the Faculty Development Programme on “MATLAB and its Applications”, organized by Dr. N.G.P. Institute of Technology, Coimbatore, from 7th to 12th June 2021.
• Participated in the Faculty Development Programme on “Pedagogy and Research Methods”, organized by AMET University, HRDC and IQAC, from 24th May to 6th June 2021.
• Participated in the Short-Term Training Programme (STTP) on “Innovative Tools for Mathematics”, organized by Hindusthan College of Engineering and Technology, Coimbatore, from 3rd to 8th May 2021.
• Participated in the Faculty Development Programme on “The Current Scenario in Applied Mathematics”, organized by Hindusthan College of Engineering and Technology, Coimbatore, from 23rd to 24th April 2021.
• Presented a paper titled “Characterization of 2-Normed Linear Spaces” at the E-International Conference on Mathematical Techniques and Applications-2020, organized by the Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, from 24th to 26th March 2021.
• Participated in the International Conference (CONIAPS XXVI) on “Advances in Differential Equations & Mathematical Modeling” (IC-DE-MM-2020), organized by the School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi, from 18th to 20th December 2020.
• Participated in the International Conference on Graph Labelling and Applications (ICGLA-2020), organized by the Department of Mathematics, Goa University, from 17th to 19th September 2020.
• Participated in the International Conference on Emerging Trends in Vedic Mathematics & Applications in Science, Technology and Social Sciences Research (ETVM-STSSR-2020), organized by the School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi, from 16th to 17th August 2020.
• Participated in the Research Development Programme on “Mathematical Methods in Applied Sciences”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, from 17th to 28th July 2020.
• Participated in the International Conference on “Recent Trends in Mathematics and Its Applications to Graphs, Networks and Petri Nets (ICRTMA-GPN-2020)”, organized by the School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi, from 20th to 24th July 2020.
• Participated in the International Seminar on “Research Trends in Applied Mathematics”, organized by the Department of Mathematics, VIT, Chennai, on 7th January 2020.
• Participated in the Short-Term Training Programme (STTP) on “Stochastic Process and Their Applications”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, from 8th to 9th November 2019.
• Participated in the National Conference on “Progress in Mathematics Towards Industrial Applications”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, from 27th to 28th September 2019.
• Participated in the National Conference on “Recent Trends in Mathematics and its Applications - 2019”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Vadapalani Campus, Chennai.
• Participated in the National Conference on “Recent Trends in Mathematics and its Applications - 2018”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Vadapalani Campus, Chennai.
• Participated in the National Conference on “Mathematical Techniques and its Applications - 2018”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur.
• Presented a paper titled “Conditions for Ascending Chain and Descending Chain of Intuitionist Fuzzy Ordered Filters” at the National Conference on “Recent Trends in Mathematics and its Applications - 2017”, organized by the Department of Mathematics, SRM University, Vadapalani Campus, Chennai.
• Participated in the National Conference on “Recent Trends in Mathematics and its Applications - 2016”, organized by the Department of Mathematics, SRM University, Vadapalani Campus, Chennai - 600026.

WORKSHOP ATTENDED:

• Participated in the Workshop on “eContent Development using AI”, organized by SRMIST, held on 22nd and 23rd January 2026.
• Participated in the Two-Day Workshop on “LaTeX for Academic Writing”, organized by Dr. M.G.R. Educational and Research Institute, Chennai, on 3rd and 4th June 2025.
• Participated in the Workshop on “Python Essentials for Students and Young Researchers: A Hands-on One-Day Workshop with Google Colab”, organized by MathTech Thinking Foundation, held on 18th May 2025.
• Participated in the International Workshop on “Role of Mathematics in Machine Learning”, organized by SRMIST, Ramapuram, Chennai, from 4th to 5th September 2023.
• Participated in the Workshop on “Computational Software: R and Mathematica”, organized by VIT, Chennai, from 23rd to 24th March 2023.
• Participated in the International Workshop on “New Advances in Mathematical and Computational Sciences”, organized by Yogi Vemana University, Kadapa, Andhra Pradesh, from 13th to 18th September 2021.
• Participated in the Workshop on “Blended Learning Through E-Assessment: Moodle”, organized by the Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, from 12th to 13th August 2021.
• Participated in the Workshop on “Recent Advances in Science & Technology”, organized by Sagar Institute of Research and Technology Excellence (SIRTE), Bhopal, Madhya Pradesh, on 20th October 2020.
• Participated in the Workshop on “Linear Algebra”, organized by the Department of Mathematics, SSN College of Engineering, Chennai, from 1st to 2nd June 2020.

MEMBERSHIPS:

• Member of IAENG (International Association of Engineers), Membership No: 252498.
• Member of the Indian Science Congress, Membership No: A7435.
• Life Member of the Research India Foundation (RIF), Membership No: RIF-NVL-169.
• Life Member of the Association of Mathematics Teachers of India, Membership No: L19112.
• Life Member of the Indian Society for Technical Education (ISTE), Membership No: LM-137198.
• Member of the National Institution for Quality and Reliability, Membership No: IM-CH-04112.