Faculty Details

Dr. Paul Isaac

Associate Professor
Department : Mathematics Qualification : M.Sc., M.Phil., Ph.D Phone : 0484-2784135 Mobile : 9447664066 Email : pibmct@gmail.com Date of Birth : 11-07-1965 Date of Joining : 03-12-0996

Education:

Sl. No Course Institution Period Rank or Grade
1. M.Sc (Mathematics) St. Albert’s College, Ernakulam 1986-88 Distinction
2. M.Phil (Mathematics) Cochin University of Sci. And Technology 1989-1990 I Class
3. CSIR/UGC JRF CSIR-UGC Dec 1990 One among the top six at National Level for Mathematics
4. Ph.D(Mathematics) Mahatma Gandhi University 1999-2004 Awarded PhD in May 2006


Area of Specialization / Research Interests:

AREA OF SPECIALIZATION / RESEARCH INTERESTS
Kac Moody Lie Algebra, Fuzzy Commutative Algebra
Fuzzy Set Theory, Rough Set Theory, Soft Set Theory

Total PG Level Teaching Experience:

Institution Designation Period of Service
St. Joseph’s College Devagiri
Kozhikkode-8
Lecturer in Mathematics 29-10-1992 to 02-12-1996
Bharata Mata College, Thrikkakara
Kochi-21
Lecturer (Sel Gr.) and Later Asso. Professor in Mathematics 03-12-1996 onwards
Research Publication:
Sl.No Publication Publication Year
1. On L-­modules. Proceedings of the National Conference on Mathe­matical Modelling, Baselius College, Kottayam, Kerala, India., pages 123–134, March 14­-16, 2002 2002
2. On semisimple L-­modules. Proceedings of the National Seminar on Graph Theory and Fuzzy Mathematics, Catholicate College, Pathanamthitta, Kerala, India., pages 81–90, August 28­-30, 2003 2003
3. Free L-­modules and projective L-­modules. Proceedings of the National Seminar on Fuzzy Mathematics and Applications, Payyanur College, Payyanur, Kerala, India., pages 257–261, January 08-­10, 2004 2004
4. Simple and semisimple L­-modules. Jl. Fuzzy. Math., 12(4):121 – 133, 2004, ISSN : 1066-8950 2004
5. On injective L-­modules. Int. Jl. Mathematics and Math. Sci., 5:747 – 754, 2005, ISSN : 0161-1712 2005
6. On projective L-­modules. Iran. Jl. Fuzzy Sys., 2(1):19 – 28, 2005, ISSN : 1735-0654 2005
7. Essential L­-submodules of an L­-module. Jl. Fuzzy. Math., 15(2):355 – 361, 2007, ISSN : 1066-8950 2007
8. Semisimple L-­modules and split exact sequences of L-modules. Jl. Fuzzy. Math., 15(2):345 – 353, 2007, ISSN : 1066-8950 2007
9. Exactness in L-module Theory – I. Int. Rev. of Fuzzy Math., Vol. 4, Number 1-2, 37-44, 2009, ISSN : 0973-4392. 2009
10. Exactness in L-module Theory – II. Bull. Kerala Math. Assn. Vol.5, No.1: 39–47, June 2009, ISSN : 0973-2721 2009
11. On intuitionistic fuzzy submodules of a module. Int. Jl. of Mathematical Sciences and Applications, Vol.1, No.3:1447-1454, September 2011(Co-author: Pearly P. John). 2011
12. IFSM’s of an R-Module – A Study. Int. Math. Forum, Vol. 7, 2012, No.19, 935-943 (Co-author: Pearly P. John). 2012
13. Homomorphisms and IFSM’s of Quotient Modules.  Int. Math. Forum, Vol. 7, 2012, No.19, 945-952 (Co-author: Pearly P. John). 2012
14. On the Intuitionistic Fuzzy Normed Linear Space (Rn, A). Int. Jl. of Fuzzy Mathematics and  Systems, Vol. 2, 2012, No. 2, 95-110, ISSN : 2248-9940 (Co-author: Maya K.). 2012
15. Rough subrings and their properties, Int. Jl. of Math. Sciences, Vol.12, No. 3-4 (July-December 2013), pp 205-216.  ISSN : 0972-754X.  (Co-author: Neelima C.A.) 2013
16. IFSM’s generated by IFS’s, Int. Jl. of Mathematics Research, Vol.5, No. 3 (2013), pp 333-341  ISSN : 0976-5840 (Co-author: Pearly P. John) 2013
17. Direct sum of IFSM’s, Advances in Theoretical and Applied Mathematics, Vol.8, No. 3 (2013), pp 177-185  ISSN : 0973-4554 (Co-author: Pearly P. John) 2013
18. Rough ideals and their properties, Int. Jl. of Global Research in Math. Archives, Vol. 1, June 2013, No. 6, 90-97, ISSN : 0973-2721. (Co-author: Neelima C.A.) 2013
19. Rough anti-homomorphism on a rough group, Global Jl. Of Math. Sci.; Theory and Practical., 6(2):79-87, 2014. (Co-author: Neelima C.A.) 2014
20. Rough semi-prime ideals and rough bi-ideals in rings, Int. Jl. Math. Sci. and Appl., 4(1):29-36, Jan-June 2014. (Co-author: Neelima C.A.) 2014
21. Anti-homomorphisms on rough prime fuzzy Ideals and rough primary fuzzy Ideals., Ann. Fuzzy Math. Inform., 8(4):549-559, October 2014. (Co-author: Neelima C.A.) 2014
22. Anti-homomorphisms on rough prime ideals and rough primary ideals., Advances in Theoretical and Applied  Math., 9(1):19, 2014. (Co-author: Neelima C.A.) 2014
23. Rough fuzzy bi-ideals in rings, Bull. Kerala Math. Association, 11(1): 79-88, June 2014. (Co-author: Neelima C.A.) 2014
24. Rough anti-fuzzy ideals in rings and their properties, Int. Jl. Math. Appl., 3(1):13-24, 2015. (Co-author: Neelima C.A.) 2015
25. Intuitionistic fuzzy continuous functions on (Rn,A), Int. Jl of Fuzzy Math. and Systems (IJFMS). Vol 5, Number 1, pp. 21–33, 2015. (Co-author: Maya K.) 2015
26. Rough anti-fuzzy bi-ideals and their properties in rings, to appear. (Co-author: Neelima C.A.)
27. Rough anti-fuzzy prime and primary ideals in rings, to appear. (Co-author: Neelima C.A.)
28. Rough anti-fuzzy semi-prime and completely semi-prime ideals in rings, to appear. (Co-author: Neelima C.A.)
29. Rough anti-fuzzy subrings  and their properties, J. Appl. Math. & Informatics Vol. 33(2015), No. 3 – 4, pp. 293 – 303 . (Co-author: Neelima C.A.) 2015
30. Rough semi-prime fuzzy ideals in rings, The Journal of Fuzzy Mathematics Vol. 23, No. 4, 2015,  845-854, Los Angeles. (Co-author: Neelima C.A .) 2015
Books:
Sl.No Name of the Book Year of publication Name of Publisher ISBN No Nature of Contribution
1. Proceedings of the National Conference on Recent Trends in Discrete and Fuzzy Mathematics 2005 Dept. Of Mathematics, BMC Editor

Details Talks Given:

Sl.
No
Title of the seminar/
conference etc.
Invited /
Contributed
/Partic-ipation
Venue/
Agency
Dates Inter-national/ National/
Regional
Title of the Paper
1 UGC sponsored UGC-CSIR JRF cum NET coaching Invited Resource Person St. Albert’s College Ernakulam Apr-May 2009

Aug-Oct, 2010

Apr-Jun, 2011

Regional
2 Talk on “Linear Algebra” at the MSc. Enrichment Programme Invited Resource Person Department of Mathematics, St. Paul’s College, Kalamassery 20-10-2009 Regional
3 Rev. Dr.. A.O. Konnully Memorial talk  on “Groups of Symmetries” Invited Resource Person Department of Mathematics of St. Albert’s College Ernakulam 05-02-2010 Regional
4 UGC sponsored National Seminar on “Discrete and Fuzzy Mathematics and Their Applications” Invited Resource Person P.G. Department of Mathematics, Mahatma Gandhi College, Iritty, Kannur 12-08-2010 National
5 Invited talk  on “Groups of Symmetries” Invited Resource Person D.B. College, Thalayolaparambu, Kottayam-686 605 06-03-2012 Regional
6 Invited talk  on “Number Theory”  in connection with the  “MATHPEDITION-2012”  organized as part of the  National Mathematical Year Celebrations Invited Resource Person Bhavan’s Adarsha Vidyalaya (Bharatiya Vidya Bhavan) Kakkanad, Kochi -682030 10-10-2012 Regional
7 Seminar on “Elementary Topics in Combinatorics” Invited Resource Person S.N.M.College, Maliankara , Ernakulam Dist, Pin-683516 06-03-2012 Regional
8 UGC sponsored one day  Seminar on “Differential Geometry” Invited Resource Person P.G. Department of Mathematics, D.B. college Thalayolaparambu 27-09-2013 Regional
9 DCE (Government of Kerala)  sponsored  two day National Workshop  on “Differential Geometry” Invited Resource Person P.G. Department of Mathematics,  Panampilly Memorial Govt. College Chalakkudy 22-10-2013 National
10 UGC sponsored  two day National Seminar on “Geometric Analysis” Invited Resource Person P.G. Department of Mathematics,  N.S.S. College, Nemmara, Palakkad 03-12-2014 National
11 UGC sponsored  two days National Seminar  on “Developments of Decision Making in Fuzzy Environment” Invited Resource Person Department of Mathematics,  St. Stephens College, Uzhavoor 05-12-2014 National
12 Three-day UGC sponsored National Seminar on Abstract Algebra and its Applications Invited Resource Person Dept. of Mathematics, MES College, Nedumkandam, Kerala 13-01-2015 National
13 National  Seminar on Emerging Trends in Fuzzy Mathematics and its Applications Invited Resource Person Konku Arts and Science College, Erode, Tamil Nadu 30-01-2015 National
14 National  Seminar on Recent Trends in Analysis, Topology and its Applications (Sponsors : DST,KSCSTE) Invited Resource Person Department of Mathematics,  S.D. College, Alappuzha 20-03-2015 National
15 Two day Workshop on Curriculum Restructuring (Sponsors : Higher Education Dept, Govt. Of Kerala) Invited Resource Person Department of Mathematics,  Maharajas College, Ernakulam 26-10-2015 Regional
16 One day Workshop on Curriculum Restructuring. (Sponsors : Higher Education Dept, Govt. Of Kerala) Invited Resource Person Department of Mathematics,  Maharajas College, Ernakulam 07-12-2015 Regional

Details of Workshops/ Conferences/ Seminars/ Symposia Attended/ Papers Presented

Sl.
No
Title of the seminar/
conference etc.
Invited /
Contributed
/Partic-ipation
Venue/
Agency
Dates Inter-national/ National/
Regional
Title of the Paper
1 Instructional Conference on Elliptic Curves, Tata Institute of Fundamental Research, Bombay, 30th September to 18th October 1991. (Sponsors : TIFR, NBHM)
2 Weekend programme in Formal Languages and Automata, St. Teresa’s College, Ernakulam, April-May, 2000 (Sponsor : KMA)
3 International conference on Recent Trends in Mathematical Analysis, St Joseph’s College Irinjalakuda, Dec. 16-18, 2000. (Sponsors : NBHM, DST, KMA)
4 International Workshop on Linear algebra, Numerical Functional Analysis and Wavelet Analysis, Department of Mathematics, Cochin University of Science and Technology, Kochi-22; August 06-15, 2001. (Sponsors : IMU, NBHM, CSIR)
5 National Conference on Mathe­matical Modelling and Annual Conference of Kerala Mathematical Association, Baselius College, Kottayam,  March 14­-16, 2002. (presented a paper). (Sponsors : MG University Kottayam, KMA)
6 Weekend Workshop on Differential Geometry and Coding Theory, St. Teresa’s College, Ernakulam,  April-June, 2002 (Sponsor : KMA)
7 Mathematics Enrichment Programme, Department of Mathematics, CUSAT, Kochi-22; 27-07-2002. (Sponsor : OSADMS CUSAT)
8 Regional Seminar on Number Theory, Department of Mathematics, Maharajas College, Ernakulam, 14-12-2002. (Sponsor : KMA)
9 International Conference on the History and Heritage of Mathematical Sciences,2002, Sukrtindra Oriental Research Institute, Kochi-32,  December 19-22, 2002. (Sponsors : ICHR, ISHM, KMA)
10 National Seminar on Graph Theory and Fuzzy Maths. Catholicate College Pathanamthitta, August 28-30, 2003.  (presented a paper). (Sponsors : MG University Kottayam,  KMA)
11 National Seminar on Discrete Mathematics and Applications and Annual Conference of Kerala Mathematical Association, St. Thomas College, Kozhencherry, January 09-11, 2003. (Sponsors : MG University Kottayam, NBHM, KMA)
12 Regional Seminar on Foundation of Maths & Automata Theory, UC College, Aluva, 18.10.2003. (Sponsors : KMA)
13 National Seminar on Fuzzy Maths and Applications, Payyanur College, Payyanur, Kerala, January 08-10, 2004  (presented a paper). (Sponsors : CSIR, Kannur University, KMA)
14 National Seminar on Topology, Category Theory and Their Applications to Computer Science, St. Joseph’s College, Irinjalakuda. March 11 – 13, 2004. (Sponsors : UGC, KMA)
15 National Workshop on Recent Advances in Maths. Dept of Maths, CUSAT, January 22-25, 2004. (Sponsor : NBHM)
16 National seminar on Algebra, Number Theory and Applications to Coding and Cryptanalysis, Little Flower College, Guruvayoor, September 16- 18, 2004. (Sponsors : NBHM, KMA)
17 Instructional Workshop on Bioinformatics, Stochastic Calculus and Finance & Control of Network Queues  & International Conference on Harmonic Analysis and Quantum Groups, Dept. of  Maths, CUSAT, January 03-08, 2005. (Sponsors : UGC, NBHM (DAE), CSIR, CDE (IMU), ISI, NSF (USA), KMA)
18 National Seminar on Discrete Maths and Math. Analysis, KKTM GOVT. College, Pullut, January 04-05, 2005. (Sponsors : UGC, DCE Govt. Kerala, KMA)
19 National Seminar on Recent Trends in Cryptography with Coding Theory, UC College, Aluva, February 24- 26, 2005. (Sponsors : UGC, KMA)
20 Annual Conference of Kerala  Mathematical Association and the National Seminar on Applications of Mathematics in Engineering. & Technology, Rajagiri School of Engg. & Tech., Kakkanad, March  11-13, 2005. (Sponsor : KMA)
21 National Seminar on New Vistas in Topology, KKTM GOVT. College, Pullut, December 19-20, 2005. (Sponsors : UGC, DCE Govt. Kerala, KMA)
22 One Day  Seminar on Geometry and Topology in Analysis & Mathematics in Traditional Architecture of Kerala, St. Teresa’s College, Ernakulam 27.08.2005. (Sponsor : KMA)
23 Math. Modelling and Analysis of Engg. Problems, Model Engg. College, Thrikkakara, January 12-13, 2006. (Sponsors : TEQIP, KMA)
24 One Day Seminar on Topology  for Computer science and A first look at Topological Dynamics, St. Paul’s College, Kalamassery, Ernakulam, 16.09.06. (Sponsor : KMA)
25 One Day Seminar on Sulba Sutra Geometry and Carpentry Classics of Kerala and Formal Languages & Automata, St. Teresa’s College, Ernakulam, 04.08.07. (Sponsor : KMA)
26 One Day Seminar on Graph Theory & Functional Analysis, St. Paul’s College, Kalamassery, Ernakulam, 08-09-2007. (Sponsor : KMA)
27 National Conference on Recent Developments and Applications of Probability Theory, Random Process and Random Variables in Computer Science, Mar Athanasios College for Advanced Studies (MACFAST), Tiruvalla -689 101,Kerala, 27.08.2008 – 29.08.2008. (Sponsors : AICTE, KMA)
28 International Seminar in Topology and Annual Conference of Kerala Mathematical Association, St. Joseph’s College, Irinjalakuda. March 9-21, 2009. (Sponsors : IMU(Italy), NBHM (DAE))
29 Regional one-day Seminar on Law of Large Deviation & Machine Learning, U.C. College, Aluva, 20-06-2009. (Sponsor : KMA)
30 Three-day National Conference on Recent Trends in Fuzzy and Discrete Mathematics, U.C. College, Aluva, November 19-21, 2009. (Sponsors : UGC, KMA).
31 One-day State Level Seminar on Matrix Analytic Methods and Fuzzy Decision Theory, St. Peters  College, Kolenchery, Kerala-682311, 25-02-2010. (Sponsor : KMA)
32 Prof. T. Thrivikraman Endowment Lecture held at Department of Mathematics, Cochin University of Science and Technology, Kochi-22, 11-10-2010. (Sponsors : KMA, OSADMS CUSAT)
33 Three-day International Seminar on  New Trends in Applications of Mathematics, Bharata Mata College, Thrikkakara, Kochi-21, Kerala; January 31, February  01-02, 2011.  (Sponsors : Central Statistical Office  Govt. of India, KMA).
34 International Seminar on Stochastic Finance, Markov Chains and Fuzzy Medical Diagnosis (ISSAF), Dept. of Mathematics, St. Peter’s College, Kolenchery, Kerala-682311, 10-02-2011. (Sponsors : KMA, Mahatma Gandhi University, Kottayam)
35 One Day Regional Seminar on “Python – Mathematical Software” and “On Euler’s Formula”, St. Teresa’s College, Ernakulam, 26.02.2011. (Sponsor : KMA)
36 One Day Regional Seminar on Some Issues in Data Communication and Rough Sets & its Application, St. Teresa’s College, Ernakulam, 25.06.2011. (Sponsor : KMA)
37 Two-day National Seminar on Discrete Mathematics & Applications, Department of Mathematics, M.E.S. Asmabi College, P. Vemballur P.O., Kodungallur, Kerala-680671; September 19-20, 2011. (Sponsors : UGC, KMA)
38 Two-day National Seminar on Algebra-Scope & Applications, Department of Mathematics, St. Paul’s College, Kalamassery, Ernakulam-683503; October 13-14, 2011. (Sponsors : UGC).
39 Sixth Prof. T. Thrivikraman Endowment Lecture on “Load Balancing for Markov Chains” held at Department of Mathematics, Cochin University of Science and Technology, Kochi-22, 14-01-2012. (Sponsors : KMA, OSADMS CUSAT).
40 Three-day National Seminar on  New Perspectives in Mathematical Theory of  Computer Science, Sacred Heart College, Thevara, Kochi, Kerala; December 13-15, 2012.  (Sponsors : KSCSTE, DRDO & DST,  KMA)
41 National Conference on Applications of Discrete and Fuzzy Mathematics and Annual Conference of Kerala Mathematical Association, Federal Institute of Science  and Technology, Angamaly-683577, Kerala, 15.07.2013 – 17.07.2013. (Sponsors : KSCSTE, CSIR & DST, KMA).
42 UGC sponsored one day  Seminar on “Differential Geometry” organized by the P.G. Department of Mathematics, D.B. college Thalayolaparambu on 27th Sept. 2013
43 Three-day Enrichment Programme in Number Theory and Cryptography, organized by Dept. of Mathematics, Bharata Mata College, Thrikkakara, Kochi-21, Kerala during 27th, 28th September and 05th October 2013.  (Sponsors : BMC)
44 Four-day International Conference on  Fractals and Wavelets, Rajagiri School of Engineering and Technology, Kakkanadu, Kochi, Kerala; November 13-16, 2013.  (Sponsors : IMU, ICIAM, ICTP, NBHM, INSA, KSCSTE, DRDO & DST,  KMA)
45 79th Annual Conference of Indian Mathematical Society held at Rajagiri School of Engineering and Technology, Kakkanadu, Kochi, Kerala; December 28-31, 2013.  (Sponsors : IMS).
46 Three-day National Seminar on  Fuzzy Logic and its Applications to Computer Science and the Annual Conference of Kerala Mathematical Association, Baselios Poulose II Catholicos College, Mulakulam North P.O., Piravom, Kerala-686 664; February 20-22, 2014.  (Sponsors : UGC & KMA).
47 Three-day UGC sponsored National Conference on Recent Trends in Applicable Mathematics, organized by the Department of Mathematics, Bharata Mata College, Thrikkakara, Kochi-21 during September 18-20, 2014. (Sponsors : UGC)
48 Two-day UGC sponsored National Seminar on Topology and Analysis, organized by the Department of Mathematics, St. Paul’s College, Kalamassery, Ernakulam-683503; during 9th and 10th October 2014. (Sponsors : UGC)
49 UGC sponsored  two day National Seminar on “Geometric Analysis” organized  by the P.G. Department of Mathematics,  N.S.S. College, (on 3rd Dec 2014) during 2nd  &  3rd December 2014. (Sponsors : UGC & KMA)
50 UGC sponsored  two days National Seminar  on “Developments of Decision Making in Fuzzy Environment” organized  by the Department of Mathematics,  St. Stephens College, Uzhavoor during 4th and 5th December 2014. (Sponsors : UGC, Mahatma Gandhi University & KMA).
51 One-day International Seminar on Queues and Graphs, Dept. of Mathematics, St. Peter’s College, Kolenchery, Kerala-682311, 07-01-2015. (Sponsors : KMA, Mahatma Gandhi University, Kottayam)
52 Three-day UGC sponsored National Seminar on Abstract Algebra and its Applications, Dept. of Mathematics, MES College, Nedumkandam, Kerala, January 12-14, 2015.  (Sponsors : UGC & KMA)
53 National  Seminar on Emerging Trends in Fuzzy Mathematics and its Applications, Konku Arts and Science College, Erode, Tamil Nadu on 30-01-2015
54 International Seminar on Analysis & Applications and Dr. T. Thrivikraman Endowment Lecture at St. Teresa’s College, Ernakulam on 09-02-2015. (Sponsor : KMA)

International /National/ State – Level Workshops /Conference Organized:

Sl.No Title of the seminar/ conference etc. Funding Agency Venue/Agency Dates International/ National/ Regional
1. National Conference on Recent Trends in Discrete and Fuzzy Mathematics

(in association with KMA)

DST,  NBHM (DAE) and CSIR Bharata Mata College, Thrikkakara November 10-12, 2005 National

(with 10 invited Talks,  30 Paper presentations & more than 100 delegates from all over India)

2. National Seminar on Mathematics for Computer Science

(in association with KMA)

NBHM (DAE) and CSIR Bharata Mata College, Thrikkakara January 07-09, 2010 National

(with 10 invited Talks,  07 Paper presentations & nearly 100 delegates from all over India)

 

Positions held or holding if any:

Sl.No Position Year
1. University nominee/subject expert of MG University for the recruitment of Asst. Professors in Mathematics in various colleges
2.  

Member of Board of Examiners of  MG University for  UG Courses in Mathematics

3. Member/Chairman of  Board of Studies of  the following Autonomous Colleges for  UG/PG Courses in Mathematics.

(a) Mar Athanasious College, Ernakulam (Chairman)

(b) Maharajas College Ernakulam (MG University Nominee)

(c) S.H. College Thevara, Ernakulam (MG University Nominee)

(d) St. Teresas College, Ernakulam (MG University Nominee)

(e) St. Alberts College, Ernakulam (MG University Nominee)

4. Chairman/Member of Board of Examiners/Question Paper Setters in Mathematics for UG/PG Courses, University of Calicut.
5. Member of Board of Examiners/Question Paper Setters in Mathematics for PG Courses, Cochin University of Science and Technology, Kochi-22
6. Member of Board of Examiners of following Autonomous Colleges for  UG/PG Courses in Mathematics.

(a) Mar Ivanios College Trivandrum

(b) S.B. College, Changanasserry

(c) St. Joseph’s College, Devagiri, Kozhikkode

(d) St. Teresas College, Ernakulam

(e) St. Alberts College, Ernakulam

7. General Secretary of Kerala Mathematical Association since 10-02-2015.
8. President of OSADMS (Old Students Association, Dept. of Mathematics) CUSAT for one term
9. Life member of Indian Mathematical Society
10. Life member of  Kerala Mathematical Association
11. Life member of OSADMS, CUSAT
12. Bharata Mata College Admission committee member for the period 2005-2015.(11 yrs)
13. Elected member of College Staff Council for the year 2011-2012 and 2016-17
14. Coordinator of IGNOU Special Study Centre, Bharata Mata College, Thrikkakara during 2012-14
15. Organizing Committee member of the Annual Conference of Indian Mathematical Society at RASET, Ernakulam
16. Elected member of College Staff Council for the year 2011-2012 and 2016-17
17. BMC Staff secretary for the period 2016-
18. Coordinator of IGNOU Special Study Centre, Bharata Mata College, Thrikkakara during 2012-14
19. Senior Asst. superintendent of MG University Examinations of the BMC centre since May 2016

 

Research Projects: (Minor Projects)

Sl.No Title of the Project Funding Agency Amount Period Co-investigators
 

1.

Fuzziness in Module Theory and Related Area

(Mathematics)

UGC Rs. 60,000 01.07.2004  to  30.06.2006

Two Years

Nil
2. On Fuzzy Analogues of Projective & Injective Modules

(Mathematics)

UGC Rs. 40,000 01.06.2008  to  31.05.2010

Two Years

Nil
3. Applications of Fuzzy sets and Rough Sets in Algebra

(Mathematics)

UGC Rs. 1,90,000 01-03-2012 to

28-02-2014

Two Years

Nil

 

Courses attended for Professional Developments:

Sl.No Name of the Course Organizing institute Period
1 UGC sponsored Orientation Course in Mathematics Academic Staff College, University of Calicut 08-09-1998 to

05-10-1998

2 UGC sponsored Refresher Course in Mathematics M.G University, Kottayam 16-08-2000 to

09-09-2000

3 UGC sponsored Refresher Course in Mathematics Academic Staff College, University of Kerala 20-09-2002 to

11-10-2002

4 UGC sponsored Refresher Course in Computer Science M. G University 12-02-2004  to

08-03-2004

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