Welcome to my homepage. I am Dr. Jayantha Lanel, a Senior Lecturer in Mathematics, University of Sri Jayewardenepura (USJ). I joined the Department of Mathematics at USJ in 2010. In addition, I am an academic counselor for Mathematics of Faculty of Applied Sciences.

In the wide realm of mathematics, I have developed a special interest in numerical analysis, this is the area in which I have done some research work for my master degree at Sri Jayewardenapura University.

I completed my Ph.D. thesis titled *Complex Root Isolation *under the supervision of Professor Charles Cheng and graduated from the Oakland University in Rochester, Michigan in 2009. In my thesis, for a given square-free polynomial *p, *compute exact number of zeros of *p* in a rectangle *R* when there is a zero of *p* on the boundary of *R*.

My core research interests lie in Computer Algebra (symbolic mathematics), a relatively young area of Mathematics that provides plenty of tools to many scientific areas, such as engineering and physics.

After completing my doctorate, I decided to expand my research interest by working on some problems in Graph Theory/Computational Discrete Mathematics one of the extensive and popular branch of mathematics, which has been applied to many problems in mathematics, computer science, and other scientific areas. At present, I am involving in many graduate/undergraduate research in this field.

## Recent Publications

- Survey on Ten Years of Multi-Depot Vehicle Routing Problems: Mathematical Models, Solution Methods and Real-Life Applications
- A Study on Distributed Optimization over Large-Scale Networked Systems
- A Survey of Public-key Cryptography over Non-abelian Groups
- An Efficient Automated Timetable for Distance Education of the Open University of Sri Lanka
- Five years of multi-depot vehicle routing problems
- A third order convergent method for solving nonlinear equations
- A Study on Graph Theory Properties of Constellations
- A Use of Graph Theory Properties of Constellations in Stellar Colonization
- HAMILTONIAN CYCLES IN CAYLEY GRAPHS OF SEMIDIRECT PRODUCTS OF FINITE GROUPS
- A Study on Graph Theory Properties of On-line Social Networks
- An Efficient Automated Timetable for Distance Education of the Open University of Sri Lanka
- Developing a New Paper Structure For The GCE (O/L) Mathematics Paper Using Graph Theory
- A Study on Graph Theory Properties of Constellations
- A Use of Graph Theory Properties of Constellations in Stellar Colonization
- HAMILTONIAN CYCLES IN CAYLEY GRAPHS OF SEMIDIRECT PRODUCTS OF FINITE GROUPS