Dr. P. Elango

Served at the Faculty of Applied Sciences, South Eastern University of Sri Lanka from 1998 to 2016 as a Senior Lecturer and then joined to the Faculty of Science, Eastern University, Sri Lanka from April 2016. Completed a Ph.D. in Category Theory at the Macquarie University, Australia, and a M.Sc. (dissertation) in Geometry and Topology at the University of Malaya, Malaysia.  Presently working as a Senior Lecturer, Grade-I in Mathematics at the Faculty of Science, Eastern University, Sri Lanka. 

Currently serving as the Director, Center for Quality Assurance, and the Director, OTS/AHEAD Project. Also serving as the Coordinator for the Establishment of the Engineering Faculty at Eastern University, Sri Lanka.

1. Generalized IP -Closed Sets in Ideal Topological Spaces (with S. Rakshana), Advances in Research, 24(4), (2023), 38–46. 
2. Study of Neutrosophic b-open sets in Neutrosophic topological spaces, (Abstract) (with D.M.S. Malkanthi), ARS-FOS-2023-A02.
3. Regular and Normal Spaces for certain Generalized Open Sets in Ideal Topological Spaces (with M. Rajitha), Vavuniya Journal of Science, 2(1), (2023), 34-38.
4. On centres and lax centres for promonoidal categories, (with Brain Day and Ross Street), (Abstract), Cahiers de Topologie et Geometrie Differentielle Categoriques, XLVI-3; RESUMES DU COLLOQUE INTERNATIONAL "Charles Ehresmann : 100 ans" (Amiens, Octobre 2005), 191. (http://www.numdam.org/article/CTGDC_2005__46_3_163_0.pdf).
5. Pullback and finite coproduct preserving functors between categories of permutation representations, (with Ross Street), Theory and Applications of Categories, 16(28), 771-784, (2006).
6. Lax braidings and the lax centre, (with Brain Day, and Ross Street), Contemporary Mathematics (“Hopf Algebras and Generalizations”), 441, 1-17, (2007).
7. Mackey functors on compact closed categories, (with Ross Street), Journal of Homotopy and Related Structures, 2(2), 261-293, (2007).
8. Pullback and finite coproduct preserving functors between categories of permutation representations: Corrigendum and addendum, (With Ross Street), Theory and Applications of Categories, 18(5), 151-156, (2007).
9. Triangulations of Spheres and Discs, (Book), VDM Verlag Dr. Muller Aktiengesellschaft & Co. KG, Germany, 2009, ISBN: 978-3-639-18923-0.
10. Mackey functors on groupoids, (Abstract), Vavuniya Campus Annual Research Secession 2011 (VCARS-2011).
11. Elliptic Triangulations of Spheres, (Abstract), Annual Science Research Secession, Faculty of Applied Sciences, SEUSL-2012.
12. Lax Centres for Promonoidal Categories, (Conference paper), Proceedings of the 2nd International Symposium-2012, SEUSL.
13. Categorical Properties of Mackey Functors, (Conference paper), Proceedings of the 3rd International Symposium-2013, SEUSL.
14. Center of Mackey Functors, (Conference paper), Proceedings of the 4th International Symposium-2014, SEUSL.
15. The Role of Mathematics in Biology, (Conference paper), Proceedings of the 5th International Symposium-2015, SEUSL.
16. Modeling population growth of Sri Lankan Cities, (Conference paper), Proceedings of the 5th International Symposium-2016, SEUSL.
17. Modeling Fish Growth with von Bertalanffy Growth Function, (Abstract), 6th Annual Science Research Secessions (ASRS) – 2017, (ISBN: 978-955-627-123-2).
18. Factors Affecting Academic Performances of Undergraduates: A Case Study with Third Year Science Undergraduate of Eastern University, Sri Lanka (with P. J. N. Thayamathy and K. A. N. K. Karunarathna), Journal of Education, Society and Behavioural Science, 25(3): 1-10, 2018; Article no.JESBS.41697.
19. M-Polynomial and Degree Based Topological Indices for Silicon Oxide, (with P. J.N. Thayamathy and M. Koneswaran), International Research Journal of Pure & Applied Chemistry, 16(4): 1-9, 2018; Article no.IRJPAC.42645.
20. Degree Based Topological Indices for Buckyball (with P. J.N. Thayamathy and M. Koneswaran), Annals of Pure and Applied Mathematics, 17(2), 2018, 249-257.
21. Forgotten Topological Index of Some Nano Structures, (with P. J.N. Thayamathy and M. Koneswaran), International Journal of Current Multidisciplinary Studies, 04(7): 909-914, 2018.
22. On τ-1 τ-:2 -ḡ-Open Sets in Bitopological Spaces, (with K. Vithyasangaran, S. Sathaananthan, and J. Sriranganesan), Asian Research Journal of Mathematics, 11(2): 1-8, 2018; Article no. ARJOM.44752.
23. On gso-Closed Sets in Topological Spaces, (with M. I. Irshad), Advances in Research, 18(1): 1-5,2019:Article no.AIR.46559
24. Study of α*-Homeomorphisms by α*-closed Sets (with Vithyasangaran, K), Advances in Research, 19(3), 1-6. (https://doi.org/10.9734/air/2019/v19i330127)
25. Computation of Zagreb and Randić indices of two biodegradable dendrimers used in cancer therapy (with P. J.N. Thayamathy and M. Koneswaran), Ceylon Journal of Science 48(4) 2019: 359-366 DOI:(http://doi.org/10.4038/cjs.v48i4.7677 )
26. J.M.U.D.Wijerathne and P.Elango, Study of RL-Connectedness and RL-Compactness, Journal of Advances in Mathematics and Computer Science, 35, 1 (2020). https://doi.org/10.9734/JAMCS/2020/v35i130243.
27. P. J.N. Thayamathy and P. Elango, Identification of the Factors Affecting the Academic Performance of the Science Undergraduates of the Eastern University, Sri Lanka: A Case Study, Journal of Education and Practice. 11, 15 (2020). https://doi.org/10.7176/JEP/11-15-17.
28. Computing Zagreb and Randi´c Indices of PEG-Cored Dendrimers Used for Drug and Gene Delivery, (with P. J.N. Thayamathy and M. Koneswaran), Journal of Chemistry,Volume 2020, Article ID 2821510, https://doi.org/10.1155/2020/2821510.
29. Topological Indices of Dendrimers used in Drug Delivery, (with P. J.N. Thayamathy and M. Koneswaran), Journal of Scientific Research. 12 (4), 645-655 (2020).
30. Zagreb Topological indices for hexadentate 3-hydroxypyridinones-terminated dendrimers used in iron binding and anti-microbial activities, (with P. J.N. Thayamathy and M.Koneswaran), Ruhuna Journal of Science 11 (1), 59-70 (2020), DOI:http://doi.org/10.4038/rjs.v11i1.87
31. Study of RL-Separation Axioms, (with J.M.U.D.Wijerathne), J. of Ramanujan Society of Mathematics and Mathematical Sciences, 9(2), 199-206 (2022).
32. On Regular Locally Closed Sets, (with J.M.U.D.Wijerathne), Abstracts of the Proceedings of ARS-FOS-2021, ARS-2021-FS-M-03.
33. Ip-Closed Maps in Ideal Topological Spaces, (with S. Rakshana), Abstracts of the Proceedings of ARS-FOS-2021, ARS-2021-FS-M-04.
34. I P -Connectedness and I P -Compactness in Ideal Topological Spaces, (Abstract) (with S.Rakshana), VINGNANAM Research Conference-2022.
35. I_P-Separation axioms in Ideal topological spaces, (with S. Rakshana), Proceedings of the International Open University Research Secessions (iOURS 2022). (Abstract). 
36. Study of Open Sets in Bi-generalized Topological Spaces, (with R. Rishanthini), Annals of Pure and Applied Mathematics, Vol. 26, No. 2, 2022, 101-113. DOI: http://dx.doi.org/10.22457/apam.v26n2a06886.
37. Continuous Functions and Separation Axioms in Ideal Topological Space, (with M. Rajitha), ARS-2022–FS–M–02. (Abstract).
38. Generalized IP -Closed Sets in Ideal Topological Spaces, (with S. Rakshana), Advances in Research, 24(4), 38–46 (2023). DOI: https://doi.org/10.9734/air/2023/v24i4946
39. M-polynomial and topological indices for the anti-tuberculosis drugs, (with P. J.N. Thayamathy and M.Koneswaran), J.Natn.Sci.Foundation Sri Lanka 2022 50 (4): 827 – 838, DOI: http://dx.doi.org/10.4038/jnsfsr.v50i4.10786

Category Theory, General Topology, Chemical Graph Theory

Group Theory (General), Group Theory (Special), Ring Theory (Special), Algebraic Topology (Special), Differential Geometry, Functional Analysis, Set Theory, Real Analysis, Abstract Algebra, Linear Algebra, Integral Transforms, Metric Spaces, Topology.  

1. International Postgraduate Research Scholarship (IPRS), Ministry of Education and Science, Australia, 2004 – 2007.
2. International Macquarie University Research Scholarship (iMURS), Macquarie University, Australia, 2004 – 2007.
3. Macquarie University Postgraduate Research Fund (MU PGRFS), Macquarie University, Australia, 2006.
4. Endowed Scholarships – 1989/’90, University Grants Commissions, Sri Lanka, 1992 -1996.

1. Director/OTS from April 2018 to date
2. Director/CQA from November 2020 to date
3. Coordinator/COSU, Faculty of Science from January 2024 to date
4. Director/Career Guidance Unit, Eastern University, Sri Lanka: Oct. 2016 to date.
5. Coordinator/IQAC, Faculty of Science, Eastern University: Sept.2016 to date.
6. Director/OTS, South Eastern University: 2013-2016.
7. Chairman/Curriculum Development Committee , Faculty of Applied Science, South Eastern University: 2009-2012.
8. Coordinator, 4th International Symposium of South Eastern University of Sri Lanka-2014.
9. Coordinator, Faculty of Engineering, South Eastern University: 2012-2013.
10. Head/Dept. of Mathematics: 2008-2011.
11. Overall Coordinator for Postgraduate Degree Programmes, South Eastern University: 2012.
12. Students Counsellor to the Faculty of Applied Sciences, South Eastern University:2009-2012.