Prof. Jayantha Lanel

Prof. Jayantha Lanel

B.Sc.(OU), M.Sc. (USJ), M.A., Ph.D.(Oakland, USA)
Professor in Mathematics
Department of Mathematics
Faculty of Applied Sciences
University of Sri Jayewardenepura, Sri Lanka.
Phone: +94 11 2758384
WhatsApp: +94 71 3063977
mail to : ghjlanel@sjp.ac.lk
Detail CV.

Education 

• Ph. D. (2009), in Applied Mathematics, Oakland University, USA.

• M.A. (2006) in Applied Mathematics, Oakland University, USA.

• M. Sc. in Industrial Mathematics (Merit, 2002), University of Sri Jayewardenepura, Sri Lanka.

• B. Sc. (1^st class Honours) in Mathematics (1999), The Open University of Sri Lanka.

• G.C.E. (A/L) (1992), Bandarawela Central College, Bandarawela, Sri Lanka.

• G.C.E. (O/L) (1989), Naulla National School, Demodara, Bandarawela, Sri Lanka.

• Fifth Grade Scholarship Examination (1984), Piyarapandowa Elementary School, Piyarapandowa, Bandarawela, Sri Lanka.

Expertise

• Graph Theory
• Computer Algebra
• Algorithmic Analysis
• Numerical Analysis
• Engineering Mathematics

Modules/ Courses Taught

• Computer Algebra
• Numerical Analysis
• Advanced Numerical Techniques
• Algorithms and Optimization Methods
• Computational Mathematics
• Graph Theory
• Graph Theory and its Applications
• Discrete Mathematics
• Ordinary Differential Equations
• Fluid Mechanics
• Modelling and Simulation
• Mathematical Modelling
• Applied Mathematical Techniques
• Complex Analysis
• Ring Theory
• Calculus
• Engineering Mathematics
• Mathematics for ICT
• Mathematics for Economists

Research Interest

• Graph Theory and its Applications (Mainly: Algebraic and Chemical Graph theory, Multilayer, Epidemiology, and Social Networks)
• Optimization & Deep Learning (working collaboratively)

Professional Experience

1. University of Sri Jayewardenepura (USJ): Professor (2022- Present), Senior Lecturer I (2017-2022), Senior Lecturer II (2011-2017) in Mathematics. Visiting Lecturer: Faculty of Engineering, Faculty of Technology, M.Sc. in Industrial Mathematics
2. University of Colombo: Visiting Lecturer: Department of Information System and Engineering, Department of Computer Science of School of Computing
3. The Open University: Visiting Lecturer: Department of Mathematics (2015-2019)
4. General Sir John Kotelawala Defence University (KDU): Visiting Lecturer: Department of Computer Science, Faculty of Computing (2018-2022)
5. Sri Lanka Institute of Information Technology (SLIIT): Visiting Lecturer: Faculty of Engineering (2020), Faculty of Humanities and Sciences (2019-2020)
6. University of Vocational Technology (UoVT): Visiting lecturer: Faculty of Information Technology (2021-2024)
7. Royal Institute of Colombo: Visiting Lecturer: Economics, Management, Finance and the Social Science Degree Programme of the University of London (2023-2024)
8. Oakland University: Special Lecturer (2009-2010), Lecturer (2008-2009), Teaching Assistant (2004-2008)
9. Oakland Community College: Adjunct Faculty (2009-2010)

Honours and Awards

1. Oakland University
   • Certificate of Merit for Outstanding Academic Achievement, 2005.
2. University of Sri Jayewardenepura
   • Research Award for the publication in Refereed and Index Journals in 2014-2023
   • Merit pass in the Industrial Mathematics Degree Program, 2002.
3. The Open University
   • First-class honours pass in the BSc Degree Program, 1999.
   • D. B. Ellepola Gold Medal for the best performance in the BSc Degree Program, 1999.
   • Prize for the best performance in Mathematics in the BSc Degree Program, 1999.
4. The Others
   • B.M.Y.U.A. Batugedara, G. H. J. Lanel, Designing the traffic phases using graph coloring and book thickness to reduce the traffic of a selected junction in Colombo city. This study received the Physical Science Award (Mathematics) from the Sri Lanka Association for the Advancement of Science (SLAAS), 2017.
   • P.A.D. Dilrukshi, G. H. J. Lanel, A Strategy to Reduce the Waiting Time at the Outpatient Department of the National Hospital in Sri Lanka. This study received the Physical Science Award (Mathematics) from the Sri Lanka Association for the Advancement of Science (SLAAS), 2016.
   • M.G.R.U.K. Ferdinandes G. H. J. Lanel, An Improved Strategy to Reduce the Passenger Traffic at Coastal and Suburban Area Division of Sri Lanka Fort Railway Station Ticketing Counters, 2014. This study received the Physical Science Award (Mathematics) from the Sri Lanka Association for the Advancement of Science (SLAAS), 2015.
   • W.R.D. De Silva, G. H. J. Lanel, Study and Analysis of work-flow models using graph theory. This study received the award for the best oral presentation of the Applied Mathematics session at the Uni-In Alliance Symposium, USJ, 2017.
   • P.H.H.P.N. De Silva, G. H. J. Lanel, Pure integer quadratic programming model for cut order plan and descriptive analysis on order fulfillment. This study received the award for the best oral presentation of the Applied Mathematics session at the Uni-In Alliance Symposium, USJ, 2016.
   • S.K.Devanarayana, Develop a model to map client’s people development requirements and the delivery of the service to achieve effective results. This study received the award for the best poster presentation for the Applied Mathematics session at the Uni-In Alliance Symposium, USJ, 2016.
   • T.A.H. Dilpriya, G.H.J. Lanel, M.T.M. Perera, B.V.N.C. Vidanage, Analysing the S&P 500 Index in Relation to the Google Trends of Stock Market Related Words in the United States.This study received the award for the best oral presentation at the first international conference on transformative applied research, National School of Business Management (NSBM), 2024.
   • R.W.K.T. Rajapaksha, G.H.J. Lanel, A.M.C.V.M. Athapattu, R. Sanjeewa, Influential Node identification in Multiplex Networks using Hybrid centrality Metrics.  This study secured 3rd place in the poster presentation at the 11th International Conference on Multidisciplinary Approaches, USJ, 2025.

Research projects

Books

• A chapter on The Number of Complex Roots of a Univariate Polynomial Within a Rectangle from the book Forging Connections between Computational Mathematics and Computational Geometry, 2016.
• Complex Root Isolation, Amazon.com, ISBN-978-639-51444-5, 2013.
• A chapter on Intelligent Computing and Optimization for sustainable Development, ISBN: 9781032625829, CRC Press, Boca Raton FL, 2025.

Keynote Addresses

• Delivered a keynote address at the International Conference on Applied Mathematics and Computing (ICAMC) held on 19th February 2025 at the Department of Applied Mathematics, Bharathiar University, Coimbatore, India.
• Delivered the Presidential Address of Section E1 of Sri Lanka Association for the Advancement of Science (SLAAS) on Applications of Graph Theory at the annual session of SLAAS, 2015.

Invited Talks

Delivered a talk entitled on

• Recent trends in Graph Theory at the International Conference on Applied Mathematics and Computing (ICAMC, 2025), Department of Applied Mathematics, Bharathiar University, Coimbatore, India.
• Analysis of the Dynamic Nature of Multiplex Networks at the International Conference on Nonlinear Dynamics: Modelling and Computation (ICNDMC, 2025), Department of Mathematics, Bharathiar University, Coimbatore, India.
• Analysis of the Dynamic Nature of Epidemic Network at the International Conference on Advances in Differential Equations and Numerical Analysis (ICADENA, 2025), Department of Mathematics, Periyar University, Salem, India.
• Recent Advances and Development in Topological Indices at the International Conference on Applied Mathematics, Automation, and Computing (ICAMAC 2025), Department of Mathematics, Kongu Engineering College, Erode, India.
• Recent Advances and Development in Topological Indices at the International Seminar on New Advances in Graph Theory (Hybrid Mode, 2025), Department of Mathematics, Lady Doak College, Madurai, India
• Invited as the Chief Guest and delivered a talk on the Beauty of Mathematics at a prize-giving ceremony of Hindu College, Colombo, 2018.

TV and Radio Programmes participated

• Applications of Graph Theory at Sri Lanka Broadcasting Cooperation for the Vidulowa radio program, 2017.
• Advanced-level combined mathematics in the Thakshilawa educational program of the Independent Television Network (ITN), Sri Lanka, 2012-2016.

Workshops and Webinars Conducted

• Conducted a MATLAB workshop on 1st and 4th September, 2025  for the undergraduate students of faculty of  computing at  NSBM Green University.
• How to face the exams for Advanced Level Students in Physical Sciences, Organized by the National Institute of Business Management, Colombo, Sri Lanka, 2020.
• Methods of Mathematical Proofs for the teachers in A/L Technology stream, conducted by the National Institute of Education (NIE), Sri Lanka, 2018.
• Revised G.C.E. (Advanced Level) Combined Mathematics Curriculum, conducted by the National Institute of Education (NIE), Moratuwa University, Sri Lanka, 2017.
• High-Quality Typesetting System (LaTeX) for Technical and Scientific Documentation for the Academics, Undergraduates, and Graduates students in Mathematics/Physics/Computer Science, Under the Section E1 of Sri Lanka Association for the Advancement of Science (SLAAS) at Department of Mathematics of University of Sri Jayewardenepura, March 23, 2017.
• Scientific Writing Workshop (Based on LaTeX) for the Physical Science (Special) Part I/Part II, and Extended Degree Students, Under the Section E1 of Sri Lanka Association for the Advancement of Science (SLAAS) at the University of Sri Jayewardenepura, February 28, 2016.
• Scientific Writing  Workshop (Based on LaTeX) for the Physical Science (Special) Part I/Part II, and Extended Degree Students, Under the Section E1 of Sri Lanka Association for the Advancement of Science (SLAAS) at the University of Sri Jayewardenepura, March 21, 2015.
• Scientific Writing  Workshop (Based on LaTeX) for the Physical Science (Special) Part II Students, Under the Section E1 of Sri Lanka Association for the Advancement of Science (SLAAS) at University of Sri Jayewardenepura, April 06, 2014.

Professional and Public Services

• Committee member for the evaluation of first-year academic programs of Faculty of Computing, Sri Lanka Institute of Information Technology (SLIIT), 2025.
• Member of the Research Committee, Faculty of Applied Sciences, University of Sri Jayewadenepura, 2025.
• Member of the Ethical Clearance Committee, Faculty of Applied Sciences, University of Sri Jayewadenepura, 2025 onwards.
• Senior Treasurer, Mathematical Society, Department of Mathematics, University of Sri Jayewadenepura, 2012
• Academic Advisor, Faculty of Applied Sciences, University of Sri Jayewadenepura, 2013 and 2024 onwards.
• Student Counselor, University of Sri Jayewadenepura, 2012-2014.
• President, Section E1 (Physical Sciences Committee) of the Sri Lanka Association for the Advancement of Science (SLAAS), 2015.
• Session Chair, International Conference on Applied and Pure Sciences (ICAPS), Faculty of Science, University of Kelaniya, 2024.
• Session Chair, International Conference on Multidisciplinary Approaches, Faculty of Graduate Studies, USJ, 2022, 2026.
• Session Chair for the Plenary Session, 6th International Conference on Business Innovation, NSBM, Sri Lanka, 2023.
• Translator, Mathematics E-Books for Secondary Education, Ministry of Education, Sri Lanka, 2021-2022.
• Writer Graph Theory unit of Discrete Mathematics Text Book, Department Mathematics & Philosophy of Engineering, Faculty of Engineering Technology, The Open University of Sri Lanka, 2018.
• Editor Dynamical Systems and Fractals unit of Discrete Mathematics Text Book, Department Mathematics & Philosophy of Engineering, Faculty of Engineering Technology, The Open University of Sri Lanka, 2018.
• Editor of the Evaluation Report (Department of Examinations, Sri Lanka) of G.C.E. (A/L) 2016.
• Editor of the Evaluation Report (Department of Examinations, Sri Lanka) of G.C.E. (A/L) 2014.
• Member of the Review Team of the Proposed Curriculum Program: Bachelor of Science in Business and Industrial Mathematics, Faculty of Management and Social Sciences, CINEC Campus, Malabe, 2017.
• Member of Editorial Board of International Journal of Multidisciplinary Approach and Studies (IJMAS) 2014.
• Member of Organizing Committee of International Conference on Multidisciplinary Approaches (iCMA), Faculty of Graduate Studies, University of Sri Jayewardenepura, 2014.
• Member of Editorial boards of several international and national journals.
• Reviewer of more than 25 international and national journals.

External Examiner

• Jothilakshmi G, Ph.D. Thesis (On characterization of b, dominator, total and HDS coloring of some essential graphs and various graph families), Bharathiar University, India, 2021.
• K. Rajam, Ph.D. Thesis (The computation of topological indices of molecular structures and their chemical applicability in QSPR analysis), Bharathiar University, India, 2021.
• Jerlin Seles, Ph.D. Thesis (A strategy on disaster recovery management based on graph theory concepts), Bharathiar University, India, 2022.
• Vyshna Unni, Ph.D. Thesis (Analysis of Differentiated Vacation Queueing Systems with Working Vacations, Vacation Interruptions, Retrials and Mixed Strategy of Customers), Bharathiar University, India, 2022.
• W.A. Gunarathna, Ph.D. Thesis (Computational Techniques for Higher Order Approximations of Fractional Derivatives with Applications), Peradeniya University, Sri Lanka, 2023.
• A. Neerajah, Ph.D. Thesis (A study on Triangular Graceful Labeling of Graphs), Government Arts College, Coimbatore, India, 2025.
• M. Durga, Ph.D. Thesis (A study on advances in degree-based topological indices and their applications), Kongu Arts and Science College (Autonomous/Affiliated to Bharathiar University, India), Erode, 2025.

Publications

Science Citation Index Journals

• Wijerathne, H.M.C.; Lanel,J.; Perera, K.;Wanigasekara, C., On Order Degree Problem for Moore Bound. Axioms (Q1-SCImago, Web of Science) 2025, 14, 802. https://doi.org/10.3390/axioms14110802
• H. Abeynanda, C. Weeraddana, G. H. J. Lanel, C. Fischione, On the Primal Feasibility in Dual Decomposition Methods Under Additive and Bounded Errors, in IEEE Transactions on Signal Processing (Q1-SCImago), Vol. 71, pp. 655-669, 2023.
• C.P. Waduge, N.C. Ganegoda, D.C. Wickramarachchi, R.S. Lokupitiya, G.H.J. Lanel, A group of representative measures of a set of time series and its decision support: a trial for dengue incidence data of Sri Lanka, International Journal of Information and Decision Sciences (Q3-SCImago), Vol 14, No 3, pp. 260-288, 2022.
• G. H. J. Lanel, T. M. K. K. Jinasena and B. A. K. Welihinda, Semidirect Products of Finite Groups in Public-Key Cryptographic Protocols, Journal of Information Science and Engineering (Q4-SCImago), Vol. 38, No. 5, pp. 1035-1050, 2022.
• G. H. J. Lanel, T. M. K. K. Jinasena and B. A. K. Welihinda, Cryptographic Protocols using Semi-direct Products of Finite Groups, International Journal of Computer Science and Network Security (Q3-SCImago), Vol. 21, No. 8, pp. 17-27, 2021.
• G. H. J. Lanel, T. M. K. K. Jinasena and B. A. K. Welihinda, A Survey of Public-key Cryptography over Non-abelian Groups, International Journal of Computer Science and Network Security (Q3-SCImago), Vol. 21, No. 4, pp. 289-300, 2021.
• Hansi K. Abeynanda, G. H. J. Lanel, A Study on Distributed Optimization over Large-Scale Networked Systems, Journal of Mathematics (Scopus,  Web of Science), Vol. 2021, Article ID 5540262, 19 pages, 2021.
• GHJ Lanel, HK Pallage, JK Ratnayake, S Thevasha, BAK Welihinda, A survey on Hamiltonicity in Cayley graphs and digraphs on different groups in Discrete Mathematics, Algorithms and Applications (Q3-SCImago), Vol. 11, Issue 05, 2019.
• G.H.J. Lanel, C.C. Cheng, The Number of Complex Roots of a Univariate Polynomial Within a Rectangle, Journal of Mathematics, Statistics and Operations Research (Q3-SCImago, Scopus) Vol 2, No. 2, pp. 41, 2014.
• Gunawardhana, D. C.,Lanel, G. H.J.,Lakshani, M. G.N., Revan indices for the hexadentate-3-hydroxypyridinones-terminated dendrimers, Journal of the National Science Foundation of Sri Lanka (Q3-SCImago, Scopus), vol. 54(1), pp. 3–16, 2026.
• Dilpriya, T. A.H., Lanel, G. H.J., Perera, Mannage Thushara, Vidanage, B. V.N.C., Hybrid neural network models for predicting S & P 500 Index closing prices: a deep learning approach for the New York stock exchange, Transformative Applied Research: Breakthrough Research in a Changing WorldOpen source preview (Scopus), pp. 221–227, 2026.
• Wijerathne, H. M.C.,Lanel, G. H.J.,Perera, K. K.K.R., Wanigasekara, Chathura, Maximum Degree Diameter Bounded Subgraph Problem for Square-Octagonal Lattice, 2025 Global Conference in Emerging Technology, GINOTECH 2025 Open source preview (Scopus), 2025.
• Jayarathna, D. G.N.D., Lanel, G. H.J., Juman, Z. A.M.S, A contemporary recapitulation of major findings on vehicle routing problems: Models and methodologies, International Journal of Recent Technology and Engineering Open source preview (Scopus), 8(2 Special Issue 4), pp. 581–585, 2019.

Other Indexed Journals: More than 17 publications.

Refereed Journals: More than 13 publications.

Conference and Proceeding: More than 34 publications.