## About

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.

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.

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<embed>## Recent Publications

- Integer Quadratic Programming (IQP) Model for Cut Order
- DESIGNING THE TRAFFIC PHASES USING GRAPH COLOURING AND BOOK THICKNESS TO REDUCE THE TRAFFIC FOR A SELECTED JUNCTION IN COLOMBO CITY
- Develop a model to map client’s people development requirements and the delivery of the service to achieve effective results
- A Queuing Model to Optimize the Performance of Surgical Units
- A Model to Optimize University Course Timetable Using Graph Coloring and Integer Linear Programming
- A Strategy to Reduce the Waiting Time at the Outpatient Department of the National Hospital in Sri Lanka
- ENHANCING THE WORK PERFORMANCE OF COASTAL AND SUBURBAN DIVISION OF SRI LANKA FORT RAILWAY STATION USING GRAPH COLORING
- Possibilities of Sharing Multi Species in a Cage Based on Their Food Preference Using Graph Coloring
- An improved strategy to reduce the passenger traffic at coastal and suburban area division of Sri Lanka fort railway station ticketing counters
- A cryptographic method to send a secret route or map to a receiver using concepts in graph theory and number theory
- The Number of Complex Roots of a Univariate Polynomial Within a Rectangle
- Complex root isolation
- Complex Root Isolation