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Curriculum Vitae of Kankeyanathan Kannan

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Curriculum Vitae of Kankeyanathan Kannan Curriculum Vitae of Kankeyanathan Kannan Current Position: Senior Lecturer in Mathematics- I Contact Details: Home address University address Vaddu - West, Department of Mathematics and Statistics Vaddukoddai, University of Jaffna, Jaffna, Sri Lanka. Sri Lanka. Telephone: +94212250297(Home) +94212223782(Office) +94773241932(Mobile) E-mail: [email protected], [email protected], [email protected] Educational Qualifications a. Doctor of Philosophy in Mathematics awarded, by University of Southampton, Southampton, U.K on 05 September 2011. b. Master of Science in Mathematics awarded by Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India on March 2006. c. Bachelor of Science degree(Hons) with major in Mathematics awarded by University of Jaffna, Jaffna, Sri Lanka on 25 June 2001. Prizes and award 1. Sir Arunachalam Mahedeva memorial prize has been awarded to me for the best performance in the Honours Degree examination in Mathematics on 25 June 2001. 2. 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. 3. 2nd Annual International Conference on Computational Mathematics, Computational geometry and Statistics (CMCGS-2013), Singapore given for the best awarded a certificate as best research paper for the one of the conference paper. 4. International multidisciplinary research foundation (IMRF), India given for the excellence research awards-2013. 5. Association of Scientists, Developers and Faculties (ASDF) given for the Best Scientific Researcher -2014. 6. University Grant Commission (UGC), Sri Lanka given by Publication award for International Journal Publication. 7. Association of Scientists, Developers and Faculties (ASDF) given for the Best Young Scientific Researcher -2015. 8. International multidisciplinary research foundation (IMRF), India given for the excellence research awards-2017. Previous Employment 1. Instructor (on contract), University of Jaffna, Sri Lanka [02 07.2001 - 30.09.2001]. 2. Assistant Lecturer (on contract), University of Jaffna [01.10.2001 - 31.08.2002.]. 3. Lecturer (Probationary), University of Jaffna [02.09.2002 - 30.08.2010]. 4. Demonstrator, University of Southampton, U.K [01.04.2008 - 01.04.2009] 5. Lecturer (Temporary) University of Jaffna, Sri Lanka [01 11.2011 - 30.04.2012]. 6. Senior Lecture Grade II, University of Jaffna, Sri Lanka [02.05.2012 -01.05.2018] Present Employment Present Post and Grade: Senior Lecture Grade I. Date of appointment: 02.05.2018 Department: Department of Mathematics and Statistics. Faculty: Science. Institution: University of Jaffna. Research interests My principle research interests lie at the intersection of coarse geometry, topology, analysis, Fuzzy Matrices and group theory. I am also interested in non- commutative geometry and its various applications and methods. This includes K- theory of operator algebras, exactness of group C*- algebra, rapid decay property. Publications Research Publications in Refereed Journals (indexed journal) 1. K. Kannan and M. Arunmaran , “Some results of 휏1휏2 – 푑 semi connectedness and compactness in bitopological‟‟, Journal of Mathematics, Vol. 2018, 04 pages (2018). 2. K. Kannan and M. Arunmaran , „‟Some Properties of휏1휏2 –훿 Semi Open Sets/Closed Sets In Bitopological Spaces‟‟, International Journal of Pure and Applied Mathematics, Vol 115, No. 4,759–770, (2017). 3. K. Kannan, „‟Rapid decay and invariant approximation property‟‟, Mathematical Reports, Vol. 18(68) , No. 2, 261–278, (2016 ). 4. A. Nagoor Gani, K. Kannan, and A. R. Manikandan, “Inner Product over Fuzzy Matrices,” Journal of Mathematics, Vol. 2016, 10 pages, (2016). 5. K. Kannan, „‟ Amenable Action and Invariant Mean‟‟, International Journal of Pure and Applied Mathematics, Vol 99 , No. 3, 227 – 244, (2015). 6. K. Kannan, „‟A Discrete Heisenberg group which is not a weakly amenable‟‟, International Journal of Mathematical Analysis, Vol 8, No. 7, 317 – 327,(2014). 7. K. Kannan, „‟The Crystallographic groups and weakly amenable groups‟‟, International Journal of Mathematical Analysis, Vol 8, No. 42, 2055– 2064(2014). 8. K. Kannan, „‟Strong invariant approximation property for discrete groups‟‟, International Journal of Pure and Applied Mathematics Vol 85, No. 6, 1075–1086, (2013). 9. K. Kannan, „‟The stability properties of strong invariant approximation property‟‟, International Journal of Pure and Applied Mathematics, Vol 88, No. 4, 557–567, (2013). 10. K. Kannan , “Invariant Approximation Property under group passes to extensions with a finite quotient”, Khayyam Journal of Mathematics (KJM) (submitted on 01.03.2019 – Under Review ) 11. K. Kannan , “Invariant approximation property is preserved under taking direct product with a finite group”, 12. Communications in Mathematics and Statistics (submitted on 12.06.2019 – Under Review ) 13. K. Kannan , “A New Type Of Topological Groups, Journal of Topology and Applications- Elsevier (submitted on 12.06.2019 – Under Review ) Research Publications in Refereed journals 1) K. Kannan and M. Arunmaran , „‟Some results in Bitopological Spaces‟‟, Mathematical Sciences International Research Journal , Vol 6, No 2, 18–20,(2017). 2) K. Kannan, „‟Approximation Property Pass to Free Product‟‟ International Science Index, Mathematical and Computational Sciences, Vol 10, No 6, 684, (2016). 3) D. 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). 4) K. Kannan, „‟The analytic properties of strong invariant approximation property‟‟, Mathematical Sciences International Research Journal, Vol 1, No 3, 101–105, (2014). 5) K. Kannan, „‟Discrete group with the twisted rapid decay property,‟‟ Mathematical Sciences International Research Journal, Vol 1, No 3, 101– 105, (2014). 6) K. Kannan, „‟A brief survey of approximation properties‟‟, Mathematical Sciences International Research Journal, Vol 2, No 2, 175–178, (2013). 7) K.Kannan” On the Invariant Uniform Roe Algebra as Cross Product” World Academy of Science, Engineering and Technology International Journal of Mathematical and Computational Sciences Vol:7, No:6, 2013 8) K. Kannan and M. Arunmaran, “Discussion on Quotient bi-space and on pairwise regular and normal spaces in Bitopological spaces‟‟, Journal of Advances in Mathematica Sciences, Knowvel Vol 01 13-15 (2019). 9) K. Kannan, „‟Rapid decay property in Crystallographic and Discrete Heisenberg groups‟‟, Journal of Mathematics, Statistics and Operations Research, Vol 2 , No. 1, (2013). 10) D .Stephen Dinagar, U .Hari Narayanan and K. Kannan , „‟A Note on Arithmetic Operations of Hexagonal Fuzzy Numbers Using the 훼 −Cut Method‟‟,International Journal of Applications of Fuzzy Sets and Artificial Intelligence ,Vol. 6, No 145 ,(2016). Published as full papers 1. K. Kannan, „‟Some groups with the Rapid Decay Property‟‟, Proceedings of 2nd annual international conference (CMCGS 2013), Singapore, p45-55(2013). Published in abstract form 1. K.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). 2. K.Kannan and N.Kajan, Some results on Fuzzy Metric Space and Fuzzy b- matric space, Proceedings of the Abstracts of IRSPASD- University of Kelaniya, Sri Lanka, p87, (2019). 3. Kannan and N.Kajan, „‟Some Related with Coarse Space, Coarse Map, Coarse 4. Equivalent‟‟, Proceedings of the Abstracts of VIRC- University of Jaffna, Sri Lanka, p7, (2018 5. K. 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). 6. K. Kannan and M. Arunmaran, „‟Some Results of 휏1휏2– δSemi compactness In Bitopological Spaces‟‟, Proceedings of the Abstracts of iPURSE- University of Peradeniya, Sri Lanka, p373, (2017). 7. K. Kannan and M. Arunmaran,‟‟휏1휏2– δ Semi connectedness In Bitopological Spaces‟‟, Proceedings of the Abstracts of South Eastern university conference- University of South Eastern, Sri Lanka,p25, (2017). 8. K.Kannan and J.I.Luxan , „‟Rapid decay property for braid group-B5‟‟ , Winc- 2016, Wayamba, University of Sri Lanka, Sri Lanka, p27, (2016). 9. Wijerathna W. D.M, Kannan and A. Nagoor Gani, „‟Sequence over fuzzy matrices‟‟, Winc-2016, Wayamba University of Sri Lanka, Sri Lanka, p48, (2016). 10. K. Kannan, „‟Some groups with Twisted Rapid Decay Property‟‟, Proceedings of the Abstracts of iPURSE- University of Peradeniya, Sri Lanka, p71, (2014). 11. K. Kannan and M.Anathakrishna, „‟Example of groups without the strong Invariant Approximation Property‟‟, Proceedings of the Abstracts of 1st Ruhuna International Science and Technology Conference, p53, (2014). 12. K. 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). Presentations [1]. Some results in Bitopological Spaces, International conference Mathematics, India, 2017. th [2]. 휏1휏2– δ Semi connectedness In Bitopological Spaces‟‟, 7 international symposium– 2017, South Eastern University, Sri Lanka, 2017. [3]. Approximation Property passes to free Product, World Academy of Science, Engineering and Technology for international conference, London, U.K 2016. [4].
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