Welcome to my homepage. I am Dr. G.H.J. Lanel, a Senior Lecturer in Mathematics of the Department of Mathematics at University of Sri Jayewardenepura (USJP). I joined the Department of Mathematics at USJP in 2010. In addition, I am an academic counselor for Mathematics of Faculty of Applied Sciences. Further more I am the Section E1 President of Sri Lanka Association for the Advancement of Science (SLAAS) for the year 2015.
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) and Queueing Theory , two of the extensive and popular branches of mathematics, which has been applied to many problems in mathematics, computer science, and other scientific areas.