Profile
Vikum Bandara
Mathematical and Statistical Sciences
Grad Teacher of Record
Martin Hall E6 [Office]
Educational Background
B.Sc. (Honours), Mathematics, University of Peradeniya, Sri Lanka, 2022
M.Sc., Mathematics(Combinatorics), Clemson University, 2025
Profile/About Me
Mathematics researcher and educator with graduate-level teaching
experience and research in combinatorics, discrete dynamical systems,
algebraic/combinatorial structures, cryptography, and graph theory.
Published work on Collatz-driven cryptography and symmetric encryption
using snake graphs and supermagic covering. Experienced in using Python for computational
experiments, visualization, and conjecture testing.
Research Interests
Algebraic and combinatorial structures in discrete dynamical systems; orbit
structure and permutation actions; labeled configurations; enumerative
combinatorics; graph theory; cryptography; number theory; computational
conjecture testing.
Courses Taught
MATH 1020
Selected Publications
V. Bandara and R. Ranasinghe, “Collatz conjecture–driven cryptographic
framework,” Journal of Discrete Mathematical Sciences and Cryptography,
2026.
P. G. R. S. Ranasinghe, R. M. V. V. Bandara, and A. M. S. L. K. Athapaththu,
“Symmetric encryption using snake graphs and supermagic covering,” Ceylon
Journal of Science, 2024, pp. 435–440.
V. Bandara and S. Poznanovi\'c, “Bulgarian Solitaire with distinguishable
cells,” manuscript in preparation.
V. Bandara and R. Ranasinghe, “Novel Cryptographic Scheme Based on
the Collatz Conjecture,” RESCON Research Conference, 2022.
Expected Graduation
2029
