Ph.D. in Mathematics, Department of Mathematics, TU Kaiserslautern, Germany.
M.Sc.nat. in Industrial Mathematics, TU Kaiserslautern, Germany.
Postgraduate Diploma in Applied Statistics, University of Sri Jayewardenepura, Sri Lanka
B.Sc. Special Degree in Mathematics, University of Kelaniya, Sri Lanka
present Senior Lecturer in Mathematics (Grade I), Department of Mathematics, University of Ruhuna, Sri Lanka
Senior Lecturer in Mathematics (Grade II), Department of Mathematics, University of Ruhuna, Sri Lanka
Lecturer in Mathematics, Department of Mathematics, University of Ruhuna, Sri Lanka
Temporary Assistant Lecturer, Department of Mathematics, University of Ruhuna, Sri Lanka
An investigation of choosing shape parameter in the Radial Basis Functions Approximation, Mr. Kulendran Athiththan, M.Sc. in Industrial Mathematics, University of Sri Jayewardenepura, Sri Lanka
A comparative study on the use of digitization of university and special libraries in Sri Lanka, Mr. S.T.S. Pushpakumara, M.Sc. (Library Science), University of Ruhuna, Sri Lanka
(2015/16) Exploration of Geothermal Sources in Sri Lanka combining Computational Methods through Seismic Wave Modelling, Magneto-Telluric Techniques and other Geophysical Experiments (Co-investigators M.K.Abeyrtane and Prof. P.A. Jayantha (University of Ruhuna), Dr. N.D. Subasinghe (IFS, Kandy), Dr. Shantha Gamage (University of Sri Jayewardenepura) (Proposal is submitted to the Ministry of Defense, Sri Lanka for approval and support) .
(2016) Wavelet based computational Method for solving Reaction-Diffusion Models with Dirichlet and Neumann Boundary Conditions, and their Applications in Biology, (ongoing in collaboration with Prof. D.Patel , (University of Baroda, India))
(2016) Construction of Wavelet based Multiresolution Techniques coupling with Finite Volume Method for solving Partial Differential Equations. A collaborative work with Prof. P.A. Jayantha (University of Ruhuna), Prof. D.Patel , (University of Baroda, India) (Proposed and to be started)
(2013/14) A Study on Wavelet Galerkin Approximation for Elliptic Boundary Value Problems arising in Electro Magnetic Theory This is a joint research project in collaboration with Center for Industrial Mathematics Faculty of Engineering, The M.S. University of Baroda, Gujarat, India (partially completed and two papers were published).
(2013) Multiscale modeling in seismic tomography: A Collaborative research project with Geomathematics Group, TU Kaiserslautern, Germany. This is mainly a wavelet based computational method in solving elastic wave equation. Based on recent result of acoustic wave scattering, the new research pathways are initiated tonsorial wavelet based multiscale method in the analysis of scattered elastic wave fields within seismic tomography (contributed).
(2012/13) A collaborative research project between the Department of Mathematics, University of Ruhuna and National Institute of Technology, Calicut, Kerala, India on the topic of Surface temperature reconstruction from free surface data in thin film on a stretching sheet - Project is granted by India Sri Lanka Foundation(ISLF) (Completed and published a paper in an international journal in 2014)
(2010) Faculty of Science, University of Ruhuna Project Title: Determination of regional gravity anomaly and a study of a topographic density variation over the geoid in the region of Sri Lanka using a multiresolution technique based on scalar spherical wavelets with satellite observations (Completed as an undergraduate research project)
2014 Grant from National Science Foundation(NSF), University Grant Commission(UGC) and Quality Innovation Grant (QIG) to organize 4-day workshop: Study Group Meeting on Mathematics and Statistics for Industry (SGMMSI2014) in collaboration with ITRCC, Faculty of Science, University of Ruhuna.
2013 Postdoctoral Research Fellowship under the Re-invitation Programme of German Academic Exchange Service (DAAD) to continue research with Geomathematics Group, University of Kaiserslautern, Germany
2013 Research Grant from India Sri Lanka Foundation (ISLF) for research in collaboration with a senior researcher at the MS University of Baroda, India
2012 Research grant from India Sri Lanka Foundation (ISLF) for collaborative research project with Department of Mathematics, NITC Calicut, India
2005 Faculty Research Grant for an individual research, University of Ruhuna, Sri Lanka
2000-2003 DAAD scholarship to read for a Ph.D. at TU Kaiserslautern, Germany
1995-1997 DAAD scholarship to follow an M.Sc. in Industrial Mathematics, TU Kaiserslautern, Germany
1995 DAAD scholarship(two-months) to follow German Language Course, Goethe Institute, Freiburg, Germany,
2015 Resource person (Academic/International), Indo-European Study Group Meeting on Industrial Problems - IESGMIP2015 held at the Faculty of Engineering and Technology, MS University of Baroda, India 3-11 January 2015.
2014 Secretary/Convener and a resource person, Study Group Meeting on Mathematics and Statistics - SGMMSI-2014 Organized by the Department of Mathematics, University of Ruhuna in collaboration with ITRCC, University of Ruhuna - December 2-5, 2014.
2013 March Resource Person and organizer One-Day workshop on Mathematics In industry, University of Ruhuna, Sri Lanka, organized in collaboration with M.S. University, Baroda India.
2013 March Invited Research Fellow : Department of Mathematics, National Institute of Technology, Calicut, India. Delivered a lecture on "Geomathematics : Case Studies on Mathematical Modeling in Geoscience", Collaborative research project funded by ISLF.
2012 December Resource Person Indo-European Modeling week and Study Group Meeting on Industrial Mathematics, The Maharaja Sayajirao University of Baroda, Gujarat, India.
2011 March Invited Delegate International Conference on "Mathematical Modelling and Applications to Industrial Problems (MMIP2011)", NIT Calicut, Kerala, India.
2009 March, Resource Person, Mathematics in Industry, Medicine Commerce and Plant Sciences Study Group Meeting (MIMCPSSGM-09)24-28 March 2009 The Maharaja Sayajirao University of Baroda, Gujarat, INDIA.
2007 January, Invited speaker, International conference on current trends in industrial and applied mathematics January 16-18, 2007, Department of Applied Mathematics, Faculty of Technology and Engineering, The M.S. University of Baroda, Gujarat, India
2006 September Participant International Conference on Applied Mathematics on "There is nothing more practical than a good theory" Sep 14-15, 2006, Fraunhofer Institute of Technoundwirschaftsmathematik, Kaiserslautern, Germany, (http://www.itwm.fraunhofer.de)
2005 December Participant Training programme on Remote Sensing and GIS for Coastal Zone Management for Disaster Mitigation organized by Geoinfomatic Center, AIT Thailand, Japanese Aerospace Exploration Agency (JAXA) and Department of Surveys, Sri Lanka.
2005 December Contributed talk Annual Conference on Earth System Processes related to Earthquakes, tsunamis and Volcanic Eruptions organized by Indian Geophysical Union and Barkatullah University, Bhopal,India.
2004 Invited Delegate Conference in Modelling and Simulation in Life Sciences, Materials and Technology, in honour of Prof. Dr..Dr. Helmut Neunzert, Germany. Doyen of Industrial Mathematics, (December 7-10, 2004), Indian Institute of Technology, Madras, India. (Participated as an invited delegate and as a resource person to deliver a felicitation talk).
M.K.Abeyratne, W.J. Jannidi (2016), A Comparative Simulation Study on Estimation of Density Functions for Finite Mixtures and Data Clustering using Nonparametric Kernel Smoothing with EM Algorithm, International Conference on Applications of Mathematics for Nonlinear sciences (ANMS) 2016, Kathmandu, Nepal, May 26-29, 2016).
M.P.A. Wijayasiri and M.K.Abeyratne, (2015) An Application of Nonparametric Kernel Density Estimators in Colombo Stock Market Indices, Proceedings of 2nd Ruhuna International Science & Technology Conference (RISTCON2015), January 22-23, 2015, Faculty of Science, University of Ruhuna, Matara, Sri Lanka Page 68.
Pasdunkorale A. Jayantha and M.K.Abeyratne, (2015) A Study on Parameter estimation in modelling using a model independent program-PEST, Proceedings of 2nd Ruhuna International Science & Technology Conference (RISTCON2015),January 22-23, 2015, Faculty of Science, University of Ruhuna, Matara, Sri Lanka Page 78.
S. Panda, Mathieu Sellier, M. C. S. Fernando, and M. K. Abeyratne, Process Parameter Identification in Thin Film Flows Driven by a Stretching Surface, International Journal of Engineering Mathematics, Volume 2014 (2014), Article ID 485431, 12 pages.
D. Patel, M.K. Abeyratne, M.H.M.R. Shyamali Dilhani, Wavelet– Galerkin Solution for Boundary Value Problems International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 10, Issue 5 (May 2014), PP.21-30
M.K. Abeyratne, M.H.M.R. Shyamali Dilhani, D. Patel "Wavelet-Galerkin Technique for Neumann-Helmholtz-Poisson Boundary Value problems" published at International Journal of Engineering Research and Development, Volume 10, Issue 5 (May 2014)
Dickson L.N, M.K.Abeyratne, Boundary Correction methods for non-parametric kernel smoothing methods 9th Science Symposium will be held in December 2012, Faculty of Science University of Ruhuna, Sri Lanka
M.C.S. Fernando, M.K.Abeyratne, Investigation of finite volume method with diffusion equation 8th Science Symposium will be held in December 2011, Faculty of Science Unicversity of Ruhuna, Sri Lanka
M.K.Abeyratne, C.I. Gomas, Finite difference methods for surface-ground water flow models, 7th Science Symposium, (Proceedings), 15th December 2010, Faculty of Science Unicversity of Ruhuna, Sri Lanka
P.Samarasekara, M.K.Abeyratne, P.L. Dilani, S. Dehipawalage Heisenberg Hamiltonian with Second Order Perturbation for Spinel Ferrite Ultra Thin films, E. Journal of Physics, 2009
M.K.Abeyratne, W.Freeden, Wavelet Applications generated by layer potentials and vector spherical harmonics for solving elliptic boundary value problems in linear elasticity and their applications in geoscience- present state of knowledge and future directions, Abstract, International conference on current trends in industrial and applied mathematics January 16-18, 2007, Department of Applied Mathematics, Faculty of Technology and Engineering, The M.S. University of Baroda, Gujarat, India.
M.K.Abeyratne, Cauchy-Navier Wavelet Solvers for the First Boundary Value Problem of Elastostatics. Proceedings of the 42th annual conference on Earth System Processes related to Earthquakes, Tsunamis and Volcanic Eruptions, Indian Geophysical Union, Barkathullah University, Bhopal, India, 2005.
M.K.Abeyratne, P.L.J.S.S. Liyanage, W.L.Asanthi, Nonparametric Regression Models for Fitting Data with Applications in Fisheries Biology. 3rd Science Symposium, Faculty of Science, University of Ruhuna, 2005.
L. W. Somathilake, J.M.J.J. Peiris, K. C. N. Shanthidevi, M.K.Abeyratne Pattern formation by Reaction Diffusion Systems, abstract on SLAAS, 60th Annual session, 2004.
L. W. Somathilake, J.M.J.J Peiris, K. C. N. Shanthidevi, M.K.Abeyratne, On some mathematical models arising in chemical kinetics, abstract on SLAAS, 60th Annual session, 2004.
M.K. Abeyratne, W. Freeden, C. Mayer, Multiscale Deformation Analysis by Cauchy-Navier Wavelets, Journal of Applied Mathematics, 5, 105-128, 2003.
Head of the Department of Mathematics, University of Ruhuna (2003-2006)
Student Counsellor of the University of Ruhuna (2006-08 and 2010)
Course coordinator (Faculty of Science) / Course Unit Advisor (Department of Mathematics)
Proposal Writer of the Faculty of Science, 3-5 year University Development Grant (UDG) 2011
Faculty coordinator for the soft skills developments projects under Quality Innovation Grant (QIG) Higher Education for the Twenty-First Century (HETC) project funded by World Bank (2011/2014)
Member of the development team of the Industrial Training and Research coordination Center (ITRCC) Faculty of Science,
Coordinator, German Language, Center for International Affairs, University of Ruhuna (2010-2014)
Committee Member of National and International Conferences organized by the Faculty of Science (Ruhuna Science Symposium 2013, 2014 , RISTCON 2014)
Member of Advisory Board, Ruhuna National College of Education, Sri Lanka (2011/12)
Honorary senior academic position at the Department of Interdisciplinary Studies, Faculty of Engineering, University of Sri Lanka, for the revision of the mathematics curricula of the faculty and to conduct lectures on Mathematics and Mathematical Modelling for Engineers (2008/09). Continuously working there as a visiting lecturer for mathematical modelling course of the faculty and as external examiner/moderator for many mathematics course units for B.Sc. (Eng) programme.
Evaluation of Ph.D./M.Phil Thesis
An examiner Evaluation of M.Phil. thesis titled "A Complex Type Number System for Higher Dimensional Spaces and Analysis" submitted at the Postgraduate Institute of Science, University of Peradeniya, Sri Lanka (2015).
An examiner Evaluation of Ph.D. thesis titled "Classical Solution of Non-linear equation arising in Fluid Flow Through Homogeneous porous media" submitted at Sardar Vallabhbhai National Institute of Technology, Deemed University Gujarat, India (2009)
Reviewer in refereed Journals.
Ruhuna Journal of Science, University of Ruhuna, Sri Lanka
Journal of National Science Foundation, Sri Lanka
Familiar with Linux based operating systems and have a sound knowledge of MATLAB and C,C++.
Adequate knowledge of German in reading, writing and speaking
Followed a certificate Course in Teaching in Higher Education (CTHE) conducted by the University of Colombo, Sri Lanka.
Chief examiner of evaluation panels for Combined Mathematics (Pure and Applied Mathematics) for G.C.E. (Advance Level) Examination, Sri Lanka. (2005-2015)