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 , University of , Jaffna, . Sri Lanka.

Telephone: +94212250297(Home) +94212223782(Office) +94773241932(Mobile)

E-mail: [email protected], [email protected], [email protected]

Educational Qualifications

a. 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. 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- , 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- , 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, , 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]. Discrete group with the twisted rapid decay property, International conference Mathematics Sciences, India, 2014. [5]. Some groups with Twisted Rapid Decay, International Peradeniya University Research Conference (iPURSE– 2014), University of Peradeniya, Sri Lanka, 2014 [6] Example of groups without the strong Invariant Approximation Property, 1st Ruhuna International Science and Technology Conference (RISTCON – 2014 , Matara, Sri Lanka, 2014. [7]. On the invariant uniform roe algebra as crossed product, World Academy of Science, Engineering and Technology for international conference, Paris, France, 2013. [8]. On the invariant uniform roe algebra as crossed product, World Academy of Science, Engineering and Technology for international conference, Paris, France, 2013. [9] A brief survey of approximation properties, International conference Mathematics, India, 2013. [10] Weakly amenable and Invariant Approximation Property, International Conference Mathematics and Technology, India, 2013. [11] Some groups with the rapid decay property, 2nd Annual International Conference On Computational Mathematics, Computational Geometry & Statistics, Singapore (CMCGS– 2013), 2013

Invited talk:

1. International multidisciplinary research foundation on International Conference on IMRF-2013, Kerala, India. 2. 3rd International Conference on Mathematical Sciences and Application- 2014, New Delhi, India. 3. International Conference on Mathematical Methods and Computation - ICOMAC 2015 , India 4. International multidisciplinary research foundation on International Conference on IMRF-2017, Ooty, India. 5. 2nd the Collaborative Research in Mathematical Sciences-2018 at KG College of Arts and Sciences, Coimbatore- 641 035, India 6. International Conference on Computing Sciences (ICCS-2018-2019) , Chennai, India.

Textbooks for Undergraduate Students (Published)

 Theory and Problems on Metric Spaces by Kankeyanathan Kannan and Panchadcharam Elango

Textbooks for Undergraduate Students (Unpublished- Under Review for International Publisher)

 Theory and Problems on Linear Algebra by Kankeyanathan Kannan, Ratnam Vigneswaran and T.Sritharan

University Development Activities

1. Academic Counselor, since 2017. 2. Member of Editorial board of Vingnanam International Research Conference (VIRC2018), Faculty of Science, University of Jaffna-2018. 3. Member of Editorial board of Vingnanam Journal of Science– 2017 to date. 4. Member of Sub-Committees/Committees of the University: Science Faculty Research Committee (SFRC), University of Jaffna. (2017 to date) 5. Member of the committee for conducting Science exhibition for School Children.

Attended Work shop

1. 98th K- Theory day -2008 , Oxford University, U.K. 2. 99th K- Theory day -2009 , Oxford University, U.K. 3. 100th K-theory day- 2010 , University of Southampton, Southampton, U.K 4. Geometry and Topology workshop- 2009 , University of Southampton, Southampton, U.K 5. Geometry and Topology workshop- 2010, University of Bristol, Bristol, U.K.

Research Grant

1. PhD research grant - The University of Southampton, UK. 2007 – 2008. 2. University of Jaffna, Jaffna, Sri Lanka, through the Improving Relevance and Quality of (IRQUE) project funded by the World Bank, 2006 – 2009.

Travel Grant

1. National Science foundation, Sri Lanka-funded by World Academy of Science, Engineering and Technology for international conference-2013, Paris, France. 2. University Grant Commission, Sri Lanka funded by 3rd International Conference on Mathematical Sciences and Application- 2014, New Delhi, India.

Other Activates

Member:

1. Editorial Board of the world academic - industry research collaboration organization, India 2. Life member of World academic industry research collaboration organization (WAIRCO), India 3. Member of World Academy of Science, Engineering and Technology (WASET). 4. Member of International multidisciplinary research (IMRF), India

Reviewer:

1. World Academy of Science, Engineering and Technology (WASET). 2. World academic - industry research collaboration organization (WAIRCO), India 3. International multidisciplinary research foundation (IMRF), India

Chair person:

1. International multidisciplinary research foundation on International Conference on IMRF-2013, Kerala, India. 2. International Conference on ICMIT – March 2013, Chennai, India. 3. International Conference on ICMES – March 2014, , Sri Lanka.

External Examiner of Ph.D: 1. Bharathidasan University , Tiruchirappall, Tamil Nadu, India. 2. Madurai Kamarajar University, Madurai, India. 3. Anna University, Chennai, India.

Advisory Committee of Conference

International multidisciplinary research foundation on International Conference.

Visiting Lecturer:

1. Regional Center-Jaffna, Open University, Sri Lanka for the B.Sc Degree programme and Engineering Degree programme, 2012 and 2013. 2. Eastern University for the B.Sc (Hons) Degree programme- 2016. 3. South Eastern University for the B.Sc (Hons) Degree programme- 2017.