Prof.K Kannan

• 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

• Kannan , ‘’Rapid decay and invariant approximation property’’, Mathematical Reports, Vol. 18(68) , No. 2, 261–278, (2016 ).
• Nagoor Gani, K. Kannan, and A. R. Manikandan, “Inner Product over Fuzzy Matrices,” Journal of Mathematics, Vol. 2016, 10 pages, (2016).
• Kannan, ‘’Approximation Property Pass to Free Product’’ International Science Index, Mathematical and Computational Sciences, Vol 10, No 6, 684, (2016).
• Stephen Dinagar, A. Rajesh and K. Kannan, ‘’Basic t-Norm Operators of Interval-Valued Fuzzy Soft Matrix and its Application in MCDM’’, Global Journal of Pure and Applied Mathematics, Vol 12, No 2, 293 –297, (2016).
• D .Stephen Dinagar, U .Hari Narayanan and K. Kannan , ‘’A Note on Arithmetic Operations of Hexagonal Fuzzy Numbers Using the Cut Method’’,International Journal of Applications of Fuzzy Sets and Artificial Intelligence ,Vol. 6, No 145 ,(2016).
• Kannan andJ.I.Luxan, ‘’Rapid decay property for braid group-B5’’ ,Winc-2016, Wayamba, University of Sri Lanka, Sri Lanka, p27, (2016) [Abstract].
• Wijerathna W. D.M, Kannan and A. NagoorGani, ‘’Sequence over fuzzy matrices’’, Winc-2016, Wayamba University of Sri Lanka, Sri Lanka, p48, (2016).[Abstract].

2015

• Kannan, ‘’ Amenable Action and Invariant Mean’’, International Journal of Pure and Applied Mathematics, Vol 99 , No. 3, 227 – 244, (2015).

2014

• Kannan, ‘’A Discrete Heisenberg group which is not a weakly amenable’’, International Journal of Mathematical Analysis, Vol 8, No. 7, 317 – 327,(2014).
• Kannan, ‘’The Crystallographic groups and weakly amenable groups’’, International Journal of Mathematical Analysis, Vol 8, No. 42, 2055– 2064(2014).
• Kannan, ‘’The analytic properties of strong invariant approximation property’’, Mathematical Sciences International Research Journal, Vol 1, No 3, 101–105, (2014).
• Kannan, ‘’Discrete group with the twisted rapid decay property,’’ Mathematical Sciences International Research   Journal, Vol 1, No 3, 101–105, (2014).
• Kannan, ‘’Some groups with Twisted Rapid Decay Property’’,Proceedings of the Abstracts of iPURSE- University of Peradeniya, Sri Lanka, p71, (2014). ) [Abstract].
• Kannan , ‘’Example of groups without the strong Invariant Approximation Property’’, Proceedings of the Abstracts of 1st Ruhuna International Science and Technology Conference, p53, (2014) [Abstract].

2013

• Kannan, ‘’Strong invariant approximation property for discrete groups’’, International Journal of Pure and Applied Mathematics Vol 85, No. 6, 1075–1086, (2013).
• Kannan, ‘’The stability properties of strong invariant approximation property’’, International Journal of Pure and Applied Mathematics, Vol 88, No. 4, 557–567, (2013).
• Kannan, ‘’A brief survey of approximation properties’’, Mathematical Sciences International Research Journal, Vol 2, No 2, 175–178, (2013)
• Kannan , ‘’Rapid decay property in Crystallographic and Discrete Heisenberg groups’’, Journal of Mathematics, Statistics and Operations Research , Vol 2 , No. 1, (2013).
• Kannan, ‘’ Uniform roe algebra as crossed product’’, , Journal of Mathematics, Statistics and Operations Research , Vol 2 , No. 1, (2013).
• Kannan, ‘’Some groups with the Rapid Decay Property’’, Proceedings of 2^nd annual international conference (CMCGS 2013), Singapore, p45-55(2013) [Abstract]. 

2012

• Kannan, ‘’Identification of two groups with the rapid decay property’’, Proceedings of the Abstracts of Jaffna University International Research Conference (JUICE-2012), University of Jaffna, p185, (2012)[Abstract].

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 3^rd 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).