Dr.K-Kannan

Prof.K.Kannan

B.Sc. [Hons] (Jaffna), M.Sc (India), Ph.D(UK).

 

  • Ph.D in Mathematics, University of Southampton, UK (2011).
  • M.Sc in Mathematics, University of Madras, India (2006).
  • B.Sc. Special in Mathematics, Second  Class (Jaffna, Sri Lanka) (2001).

Coordinator

  • Coordinator for Special Degree Examination in Pure Mathematics, Department of Mathematics and Statistics, University of Jaffna, 2013 to 2020.

Counsellor

  • Academic Counsellor – Faculty of Science, September 2017 to August 2020.

Member

  • Science Faculty Research Committee (SFRC), University of Jaffna, 2017 to 2020.
  • Science Faculty Board, University of Jaffna, 2005 to date.
  • Member of Editorial board of Vingnanam International Research Conference (VIRC-2018), Faculty of Science, University of Jaffna-2018.
  • Member of Editorial board of Vingnanam Journal of Science– 2017 to date.
  • Member of the committee for conducting Science Education for Bright Future Progrmamme-2020, Faculty of Science, University of Jaffna.
  • ‘’excellence research awards–2017’’, International multidisciplinary research foundation (IMRF), India.
  • “Best Young Scientific Researcher –2015’’, Association of Scientists, Developers and Faculties (ASDF) , India.
  • ‘’Best Academic Researcher–2015’’, Association of Scientists, Developers and Faculties (ASDF) , India.
  • ‘’Best Scientific Researcher– 2014’’, Association of Scientists, Developers and Faculties (ASDF, India.
  • ‘’Best research paper’’, 2nd Annual International Conference on Computational Mathematics, Computational geometry and Statistics (CMCGS–2013), Singapore.
  • ‘’excellence research awards–2012’’, International multidisciplinary research foundation (IMRF), India.
  • Ramanujan Institute for advanced Study in Mathematics, University of Madras, Chennai, India given for the best performance in the first and second year examination in M.Sc programme on March 2006.
  • Sir Arunachalam Mahedeva memorial for the Best Performance in the Honours Degree Examination in Mathematics – 2001, University of Jaffna, Sri Lanka.

Undergraduate Teaching:

  • Foundation of Mathematics(2018 to date)
  • Calculus(2018)
  • Algebra(2017)
  • Linear Algebra (2012 to 2016, 2020 to date)
  • Analysis(2012 to date)
  • Linear Algebra and Analytical Geometry(2019 to date)
  • Geometry(2019 to date)
  • Group Theory and Topology (2012 to 2016, 2018)
  • Complex Analysis (2016)
  • Differential geometry (2012)
  • Mathematics for ComputingI (2014)
  • Mathematics for Computing II(2014)
  • Topology –I(2020 to date)
  • Topology –II (2020 to date)
  • Topology (2012-2019)
  • Measure Theory(2015-2016)
  • Real and Complex Analysis(2015-2016)
  • Ring Theory (2013)
  • Supervision: Research Projects (2012 to date)

Inter-Faculty Teaching

  • (AITC 11010) taught to First year Arts Students with ICT, Faculty of Arts, University of Jaffna 2014.

Teaching to other HEIs.

Eastern University, Sri Lanka:

  • (MTS 02- Measure Theory) taught to the Final year Mathematics Students, Faculty of Science, Eastern University, Sri Lanka, 2018/2019.
  • (MTS 02 – Measure Theory ) taught to the Final year Mathematics Students, Faculty of Science,  Eastern  University, Sri Lanka, 2017/2018.
  • (MTS 02- Measure Theory) taught to the Final year Mathematics Students, Faculty of Science, Eastern University, Sri Lanka, 2016/2017.
  • (MTS 02- Measure Theory) taught to the Final year Mathematics Students, Faculty of Science, Eastern University, Sri Lanka, 2014/2015.
  • (MTS 01- Algebraic Topology and MTS 02- Measure Theory) taught to the Final year Mathematics Students, Faculty of Science, Eastern University, Sri Lanka, 2013/2014.

South Eastern University, Sri Lanka

  • (MTS 41043- Measure Theory) taught to the Final year Mathematics Students, Faculty of Applied Science, South Eastern University, Sri Lanka, 2015/2016.
  • (MTS 42053- Functional Analysis) taught to the Final year Mathematics Students, Faculty of Applied Science, South Eastern University, Sri Lanka, 2015/2016.

Trincomalee Campus, Eastern University, Sri Lanka

  • (MAT 112) taught to the First year Physical Science Students, Faculty of Applied Science, Trincomalee Campus, Eastern University, Sri Lanka, 2016/2017.
  • (MAT 112) taught to the First year Physical Science Students, Faculty of Applied Science, Trincomalee Campus, Eastern University, Sri Lanka, 2015/2016.

Open University (Jaffna Regional), Sri Lanka

  • (PUU 1142) taught to the Bachelor of Science Students, Faculty of Natural Science, Open University (Jaffna Regional), Sri Lanka, 2014/2015.
  • (MPZ 3132) taught to the Diploma in Engineering Technology Students, Faculty of Engineering Technology, Open University (Jaffna Regional), Sri Lanka, 2014.
  • (MPZ 4230) taught to the Diploma in Engineering Technology Students, Faculty ofEngineering Technology, Open University (Jaffna Regional), Sri Lanka, 2013.
  • (APU 3143) taught to the Bachelor of Science Students, Faculty of Natural Science, Open University (Jaffna Regional), Sri Lanka, 2013.
  • (MPZ 4230 and MPZ 3132) taught to the Diploma in Engineering Technology Students, Faculty of Engineering Technology, Open University (Jaffna Regional), Sri Lanka, 2012.

2021

  • Kannan, ‘’ Invariant approximation property Under Group passes to Extensions with a finite quotient’’, Italian Journal of Pure and Applied Mathematics. (Accepted)
  • Kannan , N. Kajan and, T. Sritharan , “Proving the existence of a unique fixed point for a type of continuous operators defined on a fuzzy metric space and strong fuzzy metric space respectively”, Journal of Mathematics. [Under Review]
  • Kannan and M. Arunmaran “Semi continuity, semi connected and semi compactness in bitopological spaces”,  Indian Journal of Pure and Applied Mathematics. [Under Review]
  • Kannan, “ Invariant Approximation Property for Subgroups”  Communications in Mathematics and Applications (CMA). [Under Review]

2020

  • Kannan and P. Elango, ‘’ New type of topological groups’’, Journal of Topology (Elsevier) (2020). [Under Review]
  • Kannan, ‘’Invariant approximation property for direct product with a finite group’’, Advances in Mathematics: Scientific Journal, Vol 9, No. 10, 7783-779 (2020).
  • Kannan and N. Kajan ‘’ Some results on Fuzzy metric space and some examples of Fuzzy b-metric space’’, Advances in Mathematics: Scientific Journal, Vol 9, No. 10, 7725-7732(2020).
  • Kannan and N.Kajan ‘’ Some Behaviour of Coarse structure and coarse Equivalence’’, Advances in Mathematics: Scientific Journal, Vol 9, No. 10, 7719-7726(2020).

2019

Research Publication:

  • Kannan and M. Arunmaran , “Discussion on Quotient bi-space and on pairwise regular and normal spaces in Bitopological spaces’’, Journal of Advances in Mathematical Sciences, Knowve l Vol 01 13-15 (2019).
  • Kannan and M. Arunmaran ,‘’ Some results related with Fuzzy α – normed linear space’’, Journal of Advances in Mathematical Sciences, Knowvel Vol.1 ,11-12  (2019).
  • Kannan and N.Kajan, ‘’Some behavior of Course Structure  and Course equivalence’’, Proceedings  of the Abstracts of  ICMME- University of Peradeniya, Sri Lanka,p12, (2019) [Abstract]

Book Publication:

  • Theory and Problems on Metric Spaces by Kankeyanathan Kannan and Panchadcharam Elango, Kumaran Book house, India, ISBN 978-955-659-637-3.

2018

  • Kannan and M. Arunmaran , “Some results of –  semi connectedness and compactness in bitopological’’, Journal of Mathematics, Vol. 2018(2018).
  • Kannan and M. Arunmaran ,’’Discussing the relationships between semicontinuity in bitopological spaces and topological spaces’’, Proceddingsd of Wayamba International Conference-2018, Wayamba University, Sri Lanka. [Abstract]
  • Kannan and N.Kajan, ‘’Some results related with Course Structure, Course map and Course’’ equivalent, Proceedings  of the Abstracts of  ASRS- University of South Eastern, Sri Lanka,p9, (2018). [Abstract]
  • Kannan and M. Arunmaran, ‘’Some Results related with semi compactness in Bitopological Spaces’’, Proceedings  of the Abstracts of  VIRC- University of Jaffna, Sri Lanka, p7(2018). [Abstract]

2017

  • Kannan and M. Arunmaran , ‘’Some Properties of   –  Semi Open Sets/Closed Sets In Bitopological  Spaces’’,  International Journal of Pure and Applied Mathematics, Vol 115, No. 4,759–770, (2017).
  • Kannan and M. Arunmaran , ‘’Some results in Bitopological Spaces’’, Mathematical Sciences International  Research Journal , Vol 6,  No 2,  18–20,(2017).
  • Gunasekaran, K.Kannan and M. Rahamathunisha, “On Tricomplex Representation Methods of A Matrix Trace Inequality”, Journal of Ultra Scientist of Physical Sciences, Vol 29, No 1, 30–32, (2017).
  • Kannan and M. Arunmaran, ‘’Some Results of Semi compactness In Bitopological Spaces’’,Proceedings of the Abstracts of iPURSE- University of Peradeniya, Sri Lanka, p373, (2017). [Abstract]
  • Kannan and M. Arunmaran,’’   Semi connectedness  In Bitopological Spaces’’,Proceedings  of the Abstracts of  South Eastern university conference- University of South Eastern, Sri Lanka, p25, (2017) [Abstract]

2016

2015

2014

2013

2012

Research Grants:

  • World Bank funded IRQUE Project at the University of Jaffna, to pursue a MPhil/PhD degree programme at the School of Mathematics, University of Southampton, UK [2008 – 2009].
  • To pursue PhD degree: University of Southampton, Southampton, UK, 2008–2009.

Travel Grant:

  • University Grant Commission, Sri Lanka funded by 3rd International Conference on Mathematical Sciences and Application, New Delhi, India (2014).
  • National Science Foundation, Sri Lanka-funded by World Academy of Science, Engineering and Technology for international conference, Paris, France (2013).
  • National Science Foundation, Sri Lanka-funded by World Academy of Science, Engineering and Technology for international conference, London, U.K (2015).