Hi, I’m Vikum.
I’m a mathematics researcher and educator at Clemson University, where I’m continuing doctoral study in Mathematical Sciences.
This is where I share my research, teaching, and the mathematical ideas I’m working on.
Selected research
Bulgarian solitaire with distinguishable cells
With Dr. Svetlana Poznanović, I study the movement of individual labeled cells in Bulgarian solitaire, connecting Ferrers diagrams, permutation cycles, and periodic orbits.
Collatz conjecture–driven cryptographic framework
With Dr. Rajitha Ranasinghe, I investigated constructions inspired by Collatz sequences and implemented proposed encryption and decryption algorithms in Python.
Symmetric encryption using snake graphs and supermagic covering
With Dr. Rajitha Ranasinghe, I studied graph-labeling constructions for symmetric encryption using snake graphs and supermagic coverings.
Teaching
Graduate Teacher of Record — Clemson University
January 2025–Present
I teach Business Calculus I (MATH 1020), explaining mathematical concepts and their applications in business.
Documents
Get in touch
I welcome conversations about mathematics, research, teaching, and computational projects.