Recently Completed Ph.D. / M.Phil. Projects :
| Project Title | Project Type | Year Completed | Student | Supervisor(s) | Co-supervisor(s) |
| Analysis of the exultancy of Hamiltonian cycles in Cayley graphs of groups of special orders and its applications to public-key cryptography | Ph.D. | 2022 | Ms. B. A. K. Welihinda | Prof. G. H. Jayantha Lanel | Dr. T. M. K. K. Jinasena (Department of Computer Science, USJ) |
|
Modelling and Simulation of Cost Benefit Transportation System: Planning for a Warehouse Vendors (*Awarded the Gold Medal for Research Excellence at the Convocation on October 8th, 2023, for achieving the highest number of research publications, patents, and awards at the Board of Study in Physical Sciences, Faculty of Graduate) |
Ph.D. | 2022 | Mr. D. G. N. D. Jayarathna | Prof. G. H. Jayantha Lanel | Dr. Z.A.M.S. Juman (Department of Mathematics, Univ. of Peradeniya) |
| Distributed Optimization of Limited Communication Networks, 2022. | M.Phil. | 2022 | Ms. H. K. Abeynanda | Prof. G. H. Jayantha Lanel | Dr. C. Weeraddana (Department of Electrical Engineering, Univ. of Moratuwa) |
| A solution for Poisson’s equation by distributional Henstock-Kurzweil integral | M.Phil. | 2022 | Mr. M. K. A. J. Maldeniya | Prof. N. C. Ganegoda |
Dr. S.K. Boralugoda (Department of Mathematics, Univ. of Colombo) Dr. Kaushika de Silva |
| Analyzing the applicability of different forms of integrals in integral equation modeling of infectious disease transmission | M.Phil. | 2021 | Ms. R. G. U. I. Meththananda | Prof. N. C. Ganegoda | Prof. S.S.N. Perera (Department of Mathematics, Univ. of Colombo) |
| Proposing measures based on discrete Haar wavelet for central tendency and dispersion of a set of time series | M.Phil. | 2021 | Ms. C. P. Waduge | Prof. N. C. Ganegoda |
Dr. D.C. Wickramarachchi (Department of Statistics, USJ) Dr. R.S. Lokupitiya (Department of Statistics, USJ) |
Ongoing Ph.D. / M.Phil. Projects :
| Project Title | Project Type | Commenced | Student | Supervisor(s) | Co-supervisor(s) |
| Enhancing Investment Strategies through Machine Learning Techniques | Ph.D. | October, 2022 | Ms. T. A. H. Dilpriya, | Prof. G. H. Jayantha Lanel |
Dr. M. T. M. Perera Dr. B. V. N. C. Vidanage |
| Enhancement and Development of Topological Indices and their Applications in Drug Design | Ph.D. | October, 2023 | D. C. Gunawardhana | Prof. G. H. Jayantha Lanel |
Dr. K. K. K. R. Perera (Department of Mathematics, Univ. of Kelaniya) Dr. A. G. M. J. Gunaratna (Department of Chemistry, Univ. of Kelaniya) |
| Analysis of Dynamic Nature of Multiplex Networks using Graph Theory | Ph.D. | March, 2024 | Ms. R. W. K. T. Rajapaksha | Prof. G. H. Jayantha Lanel |
Dr. R. Sanjeewa Dr. A. M. C. U. M. Athapattu (Department of Mathematics, Univ. of Peradeniya) |
| A Study of Moore Graphs and Degree Diameter Problem to Construct a New General Upper Bound for the Order of Graphs | M. Phil. | October, 2020 | H. M. C. Wijerathne | Prof. G. H. Jayantha Lanel | Dr. K. K. K. R. Perera (Department of Mathematics, Univ. of Kelaniya) |
| Incorporating spatial autocorrelation into optimal control problems in epidemiology | Ph.D. | July, 2022 | Mr. A. V. R. Hansana | Prof. N. C. Ganegoda | Dr. H.C.Y. Jayathunga (Department of Mathematics, Univ. of Colombo) |
| Study of Compact Constant Mean Curvature Surfaces with Boundary | M. Phil. | January 01, 2024 | Mr. A. L. I. Lakmal | Dr.P. G. T. Harshani | Dr. D. B. Dharmasena (Department of Mathematics, Univ. of Colombo) |
| Particle Filtering with Jump Noise | Ph.D. | 2021 | Mr W. S. P. Fernando | Dr. B. P. W. Fernando | Dr. R. Sanjeewa |
| Convergence of infinite nested radicals and their interplay with dynamical systems | M. Phil | 2021 | Mr. M. Warushawithana | Dr. J. K. Ratnayake | Dr. J. N. Senadheera |