Prof. K.Komathiraj

Cinque Terre

Professor in Mathematics
Dept. of Mathematical Sciences
Faculty of Applied Sciences

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Basic Information

Prof. K.KOMATHIRAJ

Designation Professior in Mathematics
Department / Unit Dept. of Mathematical Sciences
Faculty Faculty of Applied Sciences
Tele. No. +94 67 2260467
Mobile No. +94 71 8303010
Email komathiraj@seu.ac.lk

Qualifications

  • Ph.D (KwaZulu-Natal)
  • M.Sc. (Natal)
  • B.Sc. sp. (Hons.) (EUSL)

Positions Held

  • Head/Department of Mathematical Sciences/FAS, SEUSL, From 15-07-2016 to 14-07-2019
  • Coordinator for Special Degree program in Mathematics, From 16-08-2019 to 15-08-2020
  • Sub-Activity Coordinator for QIG/FAS HETC Project, SEUSL, From 01.01.2014 to 31.12.2014
  • Senior Students Counsellor, FAS, SEUSL, From 01-01-2014 to 31-10-2015
  • Coordinator, Annual Science Research Session, (ASRS), Faculty of Applied Sciences, SEUSL, 2018
  • Editor-in-Chief, Journal of Science (JSC), Faculty of Applied Sciences, SEUSL, From 2019 to 2021
  • Chairman of Finance Supplies Committee, Faculty of Applied Sciences, SEUSL, From 01-07-2003 to 01-07-2004
  • Mentor for the academic year 2009/2010, Faculty of Applied Sciences, SEUSL, From 2014 (May) to 2015 (April)
  • Student Advisor for the academic year 2000/2001, Faculty of Applied Sciences, SEUSL.
  • Senate Member (Faculty Nominee/ Faculty of Applied Sciences), SEUSL, 2013 (August) to 2016 (July).
  • Subject Coordinator/Mathematics, Department of Mathematical Sciences, FAS, SEUSL, January 01, 2001-February 28, 2002 and May 16, 2012- May 15, 2014
  • Academic Coordinator/Department of Mathematics, FAS, SEUSL, January 01, 2004 - December 31, 2004.
  • Subject Coordinator/Computer Science, FAS, SEUSL, August 24, 2009 -August 23, 2010.
  • Deputy Proctor/FAS, September 01, 2009 - December 31, 2010.
  • Students Counselor/FAS, January 03, 2011 - January 02, 2012.

Teaching Areas

  • Differential Equations
  • Abstract Algebra
  • Set theory
  • Mathematics for Computing
  • Real Analysis
  • Tensor Calculus
  • Integral Transform
  • Numerical Analysis
  • Basic Mathematics for Biology stream

Research Interest

  • Exact solutions for Einstein & Einstein-Maxwell field equations
  • Relativistic Spherical Stars

Journal Articles

  • K. Komathiraj, A New Classes of Solutions of the Einstein-Maxwell Field Equations with Pressure Anisotropy, International Journal of Mathematical Modelling & Computations. Volume: 13, Issue: 02, Serial Number: 50, 2023.
  • K. Komathiraj, Anisotropic Charged Stellar Models, International Journal of Mathematical Modelling & Computations. Volume: 12, Issue: 01, pp: 51-60, 2022.
  • K. Komathiraj, R. Sharma and S. Chanda, Effects of electric field and anisotropy on the mass-radius relationship of a particular class of compact stars, Astrophysics and Space Science. Volume: 367, Issue: 09, Article Number: 86, 2022.
  • K. Komathiraj, R. Sharma and S. Chanda. 2022, Effects of electric field and anisotropy on the mass-radius relationship of a particular class of compact stars, Astrophysics and Space Science.  Volume: 367, Article Number: 86, DOI: https://doi.org/10.1007/s10509-022-04119-5, Publisher- Springer, Netherlands.
  • K. Komathiraj and R. Sharma. 2021, Generating new class of exact solutions to the Einstein–Maxwell system, The European Physical Journal Plus. Volume 136, Article number: 352, DOI: https://doi.org/10.1140/epjp/s13360-021-01340-z
  • K. Komathiraj and R. Sharma. 2020, Electromagnetic and anisotropic extension of a plethora of well- known solutions describing relativistic compact objects, Astrophysics. And Space Science. Volume: 365, Article Number: 181, DOI: https://doi.org/10.1007/s10509-020-03895-2
  • K. Komathiraj and R. Sharma. 2020, Exact solution for an anisotropic star admitting the MIT Bag model equation of state, Journal of Science. Volume: 01, Issue: 01, Pages: 22-33, http://www.seu.ac.lk/jsc/publication/v1n1/pape r3.pdf
  • K. Komathiraj. 2021, Anisotropic Charged Stellar Models, International Journal of Mathematical Modelling and Computations. Article in press, http://ijm2c.iauctb.ac.ir/article_684825.html
  • K. Komathiraj and R. Sharma, 2018, A family of solutions to the Einstein–Maxwell system of equations describing relativistic charged fluid spheres, Pramana-Journal of Physics. Volume: 90, Article Number: 68, DOI: https://doi.org/10.1007/s12043-018-1567-4
  • K. Komathiraj, R. Sharma, S. Das, and S.D. Maharaj. 2019, Generalized Durgapal–Fuloria relativistic stellar models”, Journal of Astrophysics and Astronomy. Volume: 40, Article Number: 37, DOI: https://doi.org/10.1007/s12036-019-9605-2
  • K. Komathiraj and S. D. Maharaj, Tikekar superdense stars in electric fields, Journal of Mathematical Physics (JMP), 2007, Vol: 48, Page: 042501, Publisher - AIP, USA.
  • K. Komathiraj and S. D. Maharaj, Classes of exact Einstein - Maxwell solutions, General Relativity and Gravitation (GRG), 2007, Vol: 39, Issue: 12, Page: 2079 - 2093, Publisher- Springer, Netherlands.
  • S. D. Maharaj and K. Komathiraj, Generalized compact sphere in electric fields, Classical and Quantum Gravity (CQG), 2007, Vol: 24, Issue: 17, Page: 4513 - 4524, Publisher- IOP, UK.
  • K. Komathiraj and S. D. Maharaj, Analytical models for quark stars, International Journal of Modern Physics D (IJMPD), 2007, Vol: 16, Issue: 11, Page: 1803 - 1811, Publisher- World Scientific Publishing Company, UK.
  • K. Komathiraj and S. D. Maharaj, A Class of Charged Relativistic Spheres, Mathematical and Computational Applications (MCA), 2010, Vol: 15, Issue: 05, Page: 665 - 673, Publisher-Association for Scientific Research, Turkey.

Conference Papers

Full paper

  • K. Komathiraj. 2016, Anisotropic Spheroidal Model, pp. 252-259, 5th Annual Science Research Sessions, FAS, SEUSL,
    http://ir.lib.seu.ac.lk/handle/123456789/2094
  • K. Komathiraj. 2016, Classes of Relativistic Stellar Models, pp. 374-379, 6th International Symposium, SEUSL.
    http://ir.lib.seu.ac.lk/handle/123456789/1974
  • K. Komathiraj. 2015, Exact models for anisotropic fluid sphere, pp. 223-230, 5th International Symposium, SEUSL.
    http://ir.lib.seu.ac.lk/handle/123456789/1298
  • K. Komathiraj. 2020, Relativistic Charged Stellar Models in the presence of Electromagnetic field for Astrophysical Compact Stars , 9th Annual Science Research Sessions, FAS, SEUSL.
    http://ir.lib.seu.ac.lk/handle/123456789/5187
  • L. Sureskumar and K. Komathiraj. 2019, Exact Solutions of Einstein Field Equations Describing Aniotropic Fluid Sphere, 8th Annual Science Research Sessions, FAS, SEUSL
    http://ir.lib.seu.ac.lk/handle/123456789/4144
  • K. Kokilan and K. Komathiraj. 2018, Exact Relativistic Charged Stellar Models, 7th Annual Science Research Sessions, FAS, SEUSL.
    http://ir.lib.seu.ac.lk/handle/123456789/3484
  • K. Komathiraj. 2017, An Exact Model for Relativistic Sphere, 6th Annual Science Research Sessions ,FAS, SEUSL.
    http://ir.lib.seu.ac.lk/handle/123456789/3289
  • K. Komathiraj. 2020, Classes of exact isotropic solutions, a solution generating algorithm,1st Annual Science Research Sessions , FAS, SEUL.
    http://ir.lib.seu.ac.lk/handle/123456789/2632
  • K. Komathiraj, Exact anisotropic solutions of Einstein field equations, Proceedings of the Third International Sympopsium, South Eastern University of Srilanka, 2013, Vol: 02, Page: 81 - 85.
  • K. Komathiraj, Generating Einstein's solutions via Hypergeometric equation, Proceedings of the Fourth International Sympopsium, South Eastern University of Srilanka, 2014, Page: 435- 440.

Abstract

  • K. Komathiraj and S. D. Maharaj, Exact solutions for static charged spheres, Proceeding of 49th Annual Congress of the South African Mathematical Society (SAMS), 2006, Page: 16.
  • K. Komathiraj, Classes of exact isotropic solutions. A solution generating algorithm, Proceeding of First Annual Science Research Session (ASRS), Faculty of Applied Sciences, SEUSL, 2012, Page: 33.
  • K. Komathiraj, Some new static anisotropic spheres, Proceeding of Second Annual Science Research Session (ASRS), Faculty of Applied Sciences, SEUSL, 2013, Page: 27.

Fellowships, Awards & Distinctions

  • Presidential Award for Scientific Research by the National Research Council of Sri Lanka (NRC), January, 2014.
  • Scholarship for the Master Degree in the form of a Postgraduate Student Assistantship by the University of Natal, South Africa (2002 - 2003).
  • Received the Graduate Assistantship Scholarship from University of KwaZulu-Natal, South Africa for the period of my PhD program (2005 - 2007).
  • National Research Foundation (NRF) Doctoral Grant-Holder Bursary for undertaking studies towards PhD in the University of KwaZulu-Natal, South Africa (2005 - 2007).

Memberships in Professional Bodies

  • Senate Member (on invitation), January 01, 2004 - December 31, 2004.
  • Leave Award Committee Member (LAC) (on invitation), January 01, 2004 - December 31, 2004.
  • Senate Member, Faculty Nominee/FAS, August 14, 2013 to date.
  • Chairman, Finance Supplies Committee, FAS, SEUSL, August 06, 2003-August 05, 2003.
  • Student Advisor for the academic year 200/2001, FAS, SEUSL.
  • Member, Curriculum Development Committee, FAS, SEUSL.span class="badge">
  • Member, Research Forum Committee, FAS, SEUSL.
  • Member, Quality Assurance Cell, FAS, SEUSL, April 01, 2013
  • Member, External Degree Program Committee, FAS, SEUSL.
  • Member, Technical Evaluation Committee, QIG/FAS, HETC Project, SEUSL.
  • Sub-Activity Coordinator for QIG/FAS HETC Project, SEUSL January 01, 2014-December 31, 2014
  • Member, Faculty Board, FAS, SEUSL
  • Member, Board of Examiner, FAS, SEUSL.

Workshops & Trainings

Conducted

  • Contributed immensely as a resource person at the workshop for Science Teachers held at FAS, SEUSL, June 12 - 13, 2001.
  • Participated as a resource person at the seminar conducted by National Institute of Education (NIE) for the Eastern province Science Teachers.

Participated

  • The 48th Annual Congress of the South African Mathematical Society (SAMS), Rhoodes University, Gramstone, South Africa (October 31 - November 02, 2005).
  • South African Relativity Society Conference, University of South Africa (UNISA), Pretoria (September 15 - 16, 2006).
  • The 49th Annual Congress of the South African Mathematical Society (SAMS) held at University of the Free State , Bloemfontein, South Africa (November 06 - 08, 2006).
  • Participated in the UGC-HETC Short Term Training Programme on "Soft Skills Development" held on April 08th & 09th, 2013, SEUSL.
  • Participated in the Workshop on "Modern Teaching Methodology and The Excellence in University Teaching" conducted by Mustafa International University in collaboration with SEUSL held on September 24th & 25th , 2013, SEUSL.
  • Participated in the Workshop for the Proposal Writers-quality & Innovations (QIG), HETC Project, July 28, 2011, Colombo.
  • Participated in the Workshop for the Proposal Writers-quality & Innovations (QIG) (Window 4), HETC Project, November 30, 2011, Colombo.

Visiting Academic

  • Invited as a Visiting Lecturer to give the following course of lectures in the B.Sc (Special) degree in Mathematics at the Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka (EUSL)
  • Academic Year 2008/2009
    • MT405-Numerical Theory of Ordinary Differential Equation (60 hrs)
    • MT410-Numerical Linear Algebra (45 hrs)
  • Academic Year 2010/2011
    • MT405-Numerical Theory of Ordinary Differential Equation (60 hrs)
    • MT410-Numerical Linear Algebra (45 hrs)
  • Visiting Lecturer for the course ID 32002-Differential Equations, Academic year 2012/2013 at the Faculty of Engineering, South Eastern University of Sri Lanka (SEUSL).
  • Visiting Lecturer for the course ID 32002-Differential Equations, Academic year 2013/2014 at the Faculty of Engineering, South Eastern University of Sri Lanka (SEUSL).
  • Visiting Lecturer for the course APU1141-Basic Statics at the Faculty of Natural Sciences, Open University of Sri Lanka (OUSL), August 11, 2011 - January 31, 2012
  • Visiting Lecturer for HNDA1102-Business Mathematics at the Sri Lanka Institute of Advanced Technological Education (SLIATE).