Honours Degree Projects  

Mathematics

2024

Student Name Title of the Project First Supervisor Second Supervisor
V. T. Palliyaguru A survey in Algebraic Coding Theory and Combinatorial Design Dr. J. K.  Ratnayake Dr. J. N.  Senadheera
A. I. Randika Developing an Anomaly Detection Model for High-Dimensional Data Using Topological Data Analysis Techniques and Understanding the Mathematical Background Dr. R. N. P.  de Silva Prof. G. H. J. Lanel
N. T. A.  Wickramaarachchi Identify the Most Influential Factors that Determine the Renewal of the Vehicle Insurance Policy Dr. M. T. M. Perera
W. M. G. P. Fonseka Studying the theorical framework for Numerical Methods of Computing Eigenvalues Prof. N. C. Ganegoda Dr. R. Sanjeewa
L. J. N. Piris An Investigation of Fredholm Operators and Fredholm Index on Separable Hilbert Spaces Dr. R. P. K. De Silva
K. D. Liyanage Study on Multiple Wiener – Ito Integrals Dr. B. P. W. Fernando
A. V. P. Koshila A Comparative Study of Classical Probability Space and Quantum Probability Space Mr. K. K. W. A. S. Kumara Dr. B. P. W. Fernando
M. G. N. Lakshani Applications of Design based Topological Indices Prof. G. H. J. Lanel Dr. R. Sanjeewa
A. D. H. G. S. N. Wickramathunga Enhancing Cryptographic Algorithms :RSA, AES & BLOWFISH Mr. G. J. K. Silva

2023

Student Name Title of the Project First Supervisor Second Supervisor
D. L. K. Deshan From Elliptic Functions to Modular Forms (A Historical Perspectives) Dr. J. N. Senadeera
S. G. S. D. Kularathna Study of Geometric Calculus Dr. R. N. P.  de Silva Prof. G. H. J. Lanel
N. T. A.  Wickramaarachchi Survey on Graph Theory Concepts Used in Social Network Analysis Prof. G. H. J. Lanel Dr. R. Sanjeewa
V. P. V. Lakmal Origin of Graph Theory Dr. R. N. P. De Silva
P. L. S. Malshani Investigating Optimization Problems Associated with Convex Functions Prof. N. C. Ganegoda Dr. R. Sanjeewa
M. Vasandaamani Survey in Topology towards Algebraic Topology Dr. J. K. Ratnayake Dr. P. G. T. Harshani
M. A. C. C. Pabasara A Study of Martingales and Their Convergence Theorems Dr. B. P. W. Fernando Dr. P. G. T. Harshani
O. R. W. Perera Stochastic Integration with Application to Interest Rate Modeling Dr. B. P. W. Fernando Dr. P. G. T. Harshani
S. P. N. Sewwandi Uniformization of Planar Domains by Exhaustion Dr. B. V. N. C. Vidanage Mr. K. K. W. A. S. Kumara
P. H. K. Silva Factorizations of Graphs & Its Applications Dr. R. Sanjeewa Prof. G. H. J. Lanel
Y. H. Vidanapathirana Investigation of Some Conjectures Mr. G. J. K. Silva
T. W. R. Thathsarani Perturbation Theory of Eigenvalues and Eigenvector-Eigenvalue Identity Dr. R. P. K. De Silva Mr. K. K. W. A. S. Kumara
R. S. M. Kapurubandara Study of Geometric Calculus Mr. K. K. W. A. S. Kumara Dr. R. P. K. De Silva
Applied Mathematics

2024

Student Name Title of the Project First Supervisor Second Supervisor
K. A. S. Divyanjalee A Dynamical Study of Scavengers onto the Predator-Prey Model Prof. R. P. K. C. M. Ranasinghe Mr. G. J. K. Silva
M. G. T. Dewmini Analytical and Numerical Approaches for Parameter Estimates in Mathematical Models Prof. N. C. Ganegoda Dr. Hasitha Erandi
E. N. N. Gamage A Survey on Markovian Queuing Models with Applications Dr. P. G. T. Harshani Dr. B. P. W. Fernando
K. A. K. Madhuwantha Optimizing Delivery Routes with Machine Learning and Linear Programming Dr. R. N. P. De Silva Dr. S. P. Pitigala
S. A. Oshani Thivarna Life Table Modeling with Survial and Death Rates in Sri Lanka Dr. M. T. M. Perera

2023

Student Name Title of the Project First Supervisor Second Supervisor
T. O. D. Kaluarachchi Forecasting Rainfall Pattern Using Discrete Fourier Transforms Mrs. D. S. Rodrigo Dr. B. P. W. Fernando
W. K. P. Madhusanka A Study of Optimal Control Models for Finance Prof. N. C. Genegoda Dr. M. T. M. Perera
H. D. Nagodavithana Dynamics of a Discrete-time Predator-Prey System with Non-Linear Harvesting Prof. R. P. K. C. M. Ranasinghe Mr. G. J. K. Silva
I. A. R. M. Perera Multicommodity Flows and Its Applications Dr. R. Sanjeewa Prof. G. H. J. Lanel
K. H. H. Priyanvada A Study of Human Brain Tumor Growth Using the Reaction-Diffusion Equation with FEniCS Dr. P. G. T. Harshani Dr. B. P. W. Fernando, Dr. T. M. K. K. Jinasena
A. M. S. C. Wijethunge Qubo Approaches to Combinatorial Optimization Problems Dr. R. P. K. De Silva Prof. A. Mahasinghe
T. M. D. I. S. Tennakoon A Study of the Behaviour of Averaging Lorenz System Prof. R. P. K. C. M. Ranasinghe Mr. G. J. K. Silva
E. N. S. Abeyratne Comparative Analysis of Geometric and Fractional Brownian Motion Models in Forecasting Stock Prices Dr. B. P. W. Fernando Dr. P. G. T. Harshani