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. 

Research Students

Ph. D. Candidates:

  1. B. A. K. Welihinda (Title: Analysis of the exultancy of Hamiltonian cycles in Cayley graphs of groups of special orders and its applications to public-key cryptography).
  2. D.G.N.D. Jayarathna (Title: Modelling and Simulation of Cost Benefit Transportation System: Planning for a Warehouse Vendors System).

M.Phil. Candidates:

  1. Chinthaka Wijerathne (Title: A Study of Moore Graphs and Degree Diameter Problem to Construct a New General Upper Bound for the Order of Graphs).
  2. H.K. Abeynanda (Title: Distributed Optimization of Limited Communication Net-works)

M.Sc. Candidates:

  1. P.H.H.P.N. De Silva (Title: Optimum Plant Mix Selection for Urban Home Gardens in Sri Lanka).

M.Sc. Graduates:

  1. Chiloma Subasinghe (M.Sc. in Industrial Mathematics, USJ), An Efficient Automated Timetable for Distance Education of the Open University of Sri Lanka, 2019
  2. P.W.C.E. Pathirana (M.Sc. in Industrial Mathematics, USJ), Developing a New Paper Structure For The GCE (O/L) Mathematics Paper Using Graph Theory, 2019
  3. M.G.R.U.K. Ferdinandes (M.Sc. in Financial Mathematics, University of Colombo),A Queuing Model to Optimize the Performance of Surgical Units, 2017
  4. M.T.M. Perera (M.Sc. in Financial Mathematics, University of Moratuwa),A Model to Optimize University Course Timetable Using Graph Coloring and Integer Linear Programming, 2016
  5. P.D.A.G.D. De Almeida (M.Sc. in Industrial Mathematics, USJ),Data Model and Algorithms for Rates Base Route Planning with Rail Way Transportation Networks in USA, 2016
  6. G.K.H. Thondilege (M.Sc. in Industrial Mathematics, USJ),Possibilities of Sharing Multi Species in a Cage Based on Their Food Preference Using Graph Coloring Technique, 2015
  7. D.M.K.N. Seneviratna (M.Sc. in Industrial Mathematics, USJ),Traveling Tourist Problem for Selected Destinations in Sri Lanka, 2011