Research Contributions by the Faculty

Betty Joseph, T.M. Durairajan, “Equivalence of various optimality criteria for Estimating Functions”, Journal of Statistical Planning and Inference 27 (1991) 355-360.

  • Journal title: Infinitude: Frontiers of Research in Mathematics, Statistics and Computer Science
    Paper title: Factors affecting the Choice of Institution for Higher Studies- A Study using Factor analysis method Volume

Was awarded Ph.D Degree from Department of Mathematics- Cochin University of Science and Technology for the work entitled ” A Geometric Approach to Fluid Dynamics in A Space Time Manifold” under the guidance of Dr. M. Jathavedan, Professor Emeritus, Department of Computer Applications, Cochin University of Science and Technology.

List of Publications                        

  • Panakkal, Susan Mathew, and M. J. Vedan. “A geometric algebraic approach to fluid dynamics.” Physics of Fluids 32.8 (2020): 087111.
  • Panakkal, S.M. and Vedan, M.J.,  Integral invariants for non-barotropic flows in a four dimensional space time manifold. Physics Letters A, 383(25), pp.3056-3062. (2019).
  • Vedan, M. J., and Susan Mathew Panakkal. “Vorticity and Stress Tensor.” Journal of Informatics and Mathematical Sciences,1-2 (2018): 351-357.
  • Susan Mathew Panakkal, M. J. Vedan , “Invariants in Fluid Dynamics”, Bulletin of Kerala Mathematics Association, Vol.15, No.1 (2018, June): 85 -90.
  • Vedan M.J., Rajeshwari Devi M.B., Susan M.P., Maxwell Stress Tensor In Hydro-dynamics, IOSR Journal of Mathematics, (2015) , Volume 11, Issue 1 Ver. V, 58-60 .

 Paper Presentations

  • Presented a paper: Vorticity and Stress Tensor, National Conference on Fluid Mechanics at SSN College of Engineering, Chennai, 27-28 October, 2017.
  • Presented a poster: Integral invariants of flows in a Four Dimensional Manifold at the Indian Women and Mathematics: Regional Workshop held at Cochin University of Science and Technology, Cochin, 2-3 January, 2018.
  • Presented a paper: Local invariants of flows in a four dimensional manifold, at the International Conference in Science, Technology, Engineering and Social Sciences at Kuriakose Elias College, Mannanam, Kottayam, January 18 – 19, 2018.

Awarded PhD on the topic ”Application of Fuzzy sets and Rough sets in Algebra” on March 18th 2019 by Mahatma Gandhi University, Kottayam under the guidance of Dr. Paul Isaac, Associate Professor, Department of Mathematics, Bharata Mata College, Thrikkakara.

Research Publications

  • Rough G-modules and their properties, Advances in Fuzzy Mathematics, 2017, 12(1), 93-100.
  • Roughness in G-modules, Global Journal of Pure and Applied Mathematics, 2017,13(9), 5469-5478.
  • Rough fuzzy -modules and their properties, Bulletin of Kerala Mathematics Association, 2017, 14(1), 13-23.
  • Fuzzy rough G-modules, Convergence- International Journal of ICT Academy Kerala, 2017, 3(1), 17-19.
  • An Introduction to Lattice Ordered -modules, Journal of Global Research in Mathematical Archives, 2017,4(11), 76-82.
  • Fuzzy lattice ordered G-modules, International Journal of Fuzzy System Applications, Accepted.
  • An Introduction to Roughness in G-modules, Bulletin of Kerala Mathematics Association, 2018, 15 (1), 29-36
  • Introduction to Riesz lG-module, Malaya Journal of Mathematik, Vol 8, No.2,561-564, 2020, 2319-3786.

Paper Presentations

  • Fuzzy rough G-modules, ICSET 2017, ICT Academy of Kerala, Thiruvananthapuram,22-23 June 2017.
  • An Introduction to Roughness in G-modules, National Seminar on Mathematics for Computer Science, Amal Jyothi College of Engineering, Kanjirapilly, 9-11 November 2017.

Awarded Ph.D. Degree from Department of Mathematics- Cochin University of Science and Technology for the work entitled ” A STUDY ON CONVERGENCE IN FRAMES AND SINGLY GENERATED FRAME EXTENSIONS” under the guidance of Dr. T.P.Johnson, Professor, Applied Sciences and Humanities Division, School of Engineering, Cochin University of Science and Technology.

Research Publications:

  • pr – Convergence of filters and nets in frames, Journal of advanced Mathematical studies, Vol 13, No.2, 123 -132, 2020.
  • On prime and regular nets in Frames, Advances in Pure and applied Mathematics –Proceedings of the KSCSTE sponsored National seminar, St.Peter’s College, Kolenchery, 04-05, July 2019.
  • On some characterizations of nets in frames, International Journal of Research and Analytical Reviews, issue 2 , volume 6 April – june 2019.
  • On a Characterization of compact frames by nets, Advances in Inequalities and Applications, Vol 2019, Article ID 3, 2019.
  • A note on properties inherited by singly generated extension of frames, Bulletin of the Allahabad Mathematical Society, 33, Part 2, Pg: 237 -250, 2018.
  • Generation of Topologies from Lattices, Journal of Statistics and Mathematical Engineering, Volume 4 Issue 1, Page 1-9, 2017.
  • A study of Separation Axioms in Point Set Topology and point-Free topology, Proceedings of 25th Swadeshi Science Congress held at Sree Sankaracharya university, Kalady on 16 – 18 th December 2015.

Paper Presentations

  • A study on deduced Cech Closure operators, 3rd International conference on Science, Engineering Technology and social sciences 2019 held at K.E. College, Mannanam from 11th  to 12th March, 2019.
  • On Singly generated extension of connected frames, International Workshop and conference on Topology and its applications  held at Rajagiri School of Engineering and Technology from 5th to 11th December, 2018.
  • Universal Nets in Frames, National seminar on Topology and its applications sponsored by NBHM and  KSCSTE held at S.B.College, Changannassery from 7th to 9th February 2018.
  • Balanced Nets in Frames, 2nd International conference on Science, Engineering Technology and social sciences 2018  held at K.E. College, Mannanam from 18th  to 19th January, 2018.

Projects :

Completed  a UGC sponsored Minor Research Project entitled “”A COMPARATIVE STUDY OF LATTICE THEORY AND TOPOLOGY”  on 2016 (MRP(S)-0756/13-14/KLMG008/UGC)

  1. Journal title: International journal of Scientific and Engineering Research
    Paper title: A Study on Solutions of Perturbed Equations
    Volume, page, year: Volume 7, Issue 4, April-2016, ISSN 2229-5518
  2. Journal title: Journal of Computer and Mathematical Sciences
    Paper title: A Study on Perturbation theory to solve Differential Equations
    Volume, page, year: Volume 10, Issue 5, April 2019, ISSN: 2319-8133
  3. Journal title: International Journal of Emerging Technologies and Innovative Research
    Paper title: A Study on Interconnection Networks and Graphs
    Volume, page, year: Volume 6, Issue 4, April 2019, ISSN: 2349-5162
  4. Journal title: International Journal of Emerging Technologies and Innovative Research
    Paper title: A Study on Pascal’s Triangle
    Volume, page, year: Volume 5, Issue 11, November 2018, ISSN: 2349-5162
  5. Journal title: International Journal of Emerging Technologies and Innovative Research
    Paper title: Numerical Methods using MATLAB
    Volume, page, year: Volume 5, Issue 5, May 2018, ISSN: 2349-5162
  6. Journal title: International Journal of Creative Research Thoughts
    Paper title: A study on Isoperimetric Inequality
    Volume, page, year: Volume 6, Issue 2, April 2018, ISSN: 2320-2882
  7. Paper title: An analysis into the efficiency of Ciphers
    Journal title:International Journal of Scientific & Engineering
    Volume, page, year:Volume 8 Issue 7 July 2017, ISSN 2229-5518

Donna Pinheiro, A STUDY ON THE ROLE OF TEACHERS IN EMANCIPATING THE EFFECTS OF DRUG ABUSE AMONG HIGH SCHOOL AND HIGHER SECONDARY STUDENTS IN COCHIN CITY, Edufocus, Vol 14, No:1, June (2019).

Publications:

  • Co-Author with Al-Shamali, Mustafa & Ali, Fatima for the Conference Paper titled “FT-NIR spectroscopy in soil analysis -Fast method to detect the TPHs in contaminant soil” at Kuwait Conference of Chemistry KCC, 2014.

Research Contributions:

  • Mention for Statistical Data Analysis: Published paper titled “High frequency multiple shoot induction from nodal segments and assessment of genetic homogeneity of micropropagated Atriplex halimus L.” by Kumar, Vinod & Almomin, Sabah & Anisha, Shajan & Al-Aqeel, Hamed & Fadila, Al-Salameen & Sindhu, Nair.; Research journal of biotechnology. 14. 7-15. (2019).
  • Mention for Statistical Data Analysis: Published paper titled “Food and feeding habits of the black pomfret, Parastromateus niger (Carangidae) in the Kuwaiti waters of the Arabian Gulf” by Stephen Dadzie, Kuwait University, 2010
  • Consultation: Data analysis, report and presentation for students under research programs as part of their advanced studies in different fields.
  • Research Associate for KNPC project on Soil Analysis for Monitoring Soil Bioremediation, Kuwait
  • Research Assistant for EPA project on Air Pollution in Kuwait

Minor Projects 

Title of Project : A comparative study of lattice Theory and Topology
Status : Completed
Sanctioning Agency : UGC
Period : 2014 – 2016 (18 Months)

Title of Project : A comparative study of Geodesic and Detour Distances in Graphs
Status : Ongoing
Sanctioning Agency : Management
Period : 2019-2021

Title of Project : A comparative study of Geodesic and Detour Distances in Graphs
Status : Ongoing
Sanctioning Agency : Management
Period : 2019-2021

Title of Project : A comparative study of Geodesic and Detour Distances in Graphs
Status : Ongoing
Sanctioning Agency : Management
Period : 2019-2021

Research Contributions by Students  

Journal title: Journal of Emerging Technologies and Innovative Research
Paper title: Numerical Methods using MATLAB
Volume, page, year: Volume 5, Issue 5, May 2018, ISSN: 2349-5162

Paper title: A Study on Isoperimetric Inequality
Journal title: International Journal of Creative Research Thoughts
Volume, page, year: Volume 6, Issue 2, April 2018, ISSN: 2320-2882

Paper title: A Study on Isoperimetric Inequality
Journal title: International Journal of Creative Research Thoughts
Volume, page, year: Volume 6, Issue 2, April 2018, ISSN: 2320-2882

Paper title: A Study on Isoperimetric Inequality
Journal title: International Journal of Creative Research Thoughts
Volume, page, year: Volume 6, Issue 2, April 2018, ISSN: 2320-2882

Paper title: A Study on Isoperimetric Inequality
Journal title: International Journal of Creative Research Thoughts
Volume, page, year: Volume 6, Issue 2, April 2018, ISSN: 2320-2882

Paper title: An analysis into the efficiency of Ciphers
Journal title:International Journal of Scientific & Engineering
Volume, page, year:Volume 8 Issue 7 July 2017, ISSN 2229-5518

Paper title:A Study on Perturbation theory to solve Differential Equations
Journal title: Journal of Computer and Mathematical Sciences
Volume, page, year:Volume 10, Issue 5, April 2019, ISSN: 2319-8133

Paper title: A Study on Interconnection Networks and Graphs
Journal title:International Journal of Emerging Technologies and Innovative Research
Volume, page, year: Volume 6, Issue 4, April 2019, ISSN: 2349-5162

Paper title: A Study on Pascal’s Triangle
Journal title: International Journal of Emerging Technologies and Innovative Research
Volume, page, year: Volume 5, Issue 11, November 2018, ISSN: 2349-5162

Department Publications 

MATHEMATICS AND STATISTICS