Bio-Data ( DR.P.K.sharMA) as on 1st Novemeber 2012

CURRICULUM VITAE

Dr. Poonam Kumar Sharma

D.O.B : 11 - 12 - 1965

Residential Address: H.No – 19, Arjun Nagar ,

Ladowali Road , Jalandhar City, Punjab , India

Father’s Name : Shri Chaman Lal Sharma

Academic Record

Ph.D. (Jamia Millia Islamia University,New Delhi) Thesis Supervisor: Dr. Mohammad

Yamin. Thesis synopsis "Some Relative Relation Modules Of Finite Groups", 1993.

M.Sc. (Mathematics, 1988) (D.A.V.College, Jalandhar, under Guru Nanak Dev

University) ( First Division )

B.Sc. (Non-Medical, 1986) (D.A.V.College, Jalandhar, under Guru Nanak Dev

University) ( First Division )

Area of interest Modern Algebra , General Topology , Fuzzy topology , Fuzzy Algebra

Experience

Presently working as Associate Professor at Post Graduate Dept. of Mathematics,

D.A.V. College ,Jalandhar Under Guru Nanak Dev University since 1994.

Worked as Lecturer in Mathematics in D.A.V. College, Chandigarh under

Punjab University from 1993-1994

Extra Responsibilities

Had been an expert in Mathematics and Science fair organized by Punjab Govt.

1

Had been Organizing Secretary of U.G.C. Sponsored National Conference

“Recent Trends in Algebra and Analysis” held at D.A.V. College , from 4th Feb.

to 6th Feb., 2011.

Had been Organizing Secretary of U.G.C. Sponsored National Conference

“Emerging Trends in Mathematics and Its Applications” held at D.A.V. College ,

from 4th Feb. to 6th Feb., 2012.

Books Publications

S.NO Title of the Book ISBN/ ISSN

NO

Name of the Publication

1 Topology-I

M.Sc-(Maths) Sem-III

93-81701-47-4 S Sharma Publications, Jalandhar

2 Discrete Mathematics-I

M.Sc-(Maths) Sem-III

93-81701063-6 Sharma Publications, Jalandhar

3 Real Analysis-I

M.Sc-(Maths) Sem-I

938126179-2 Sharma Publications, Jalandhar

4 Real Analysis-II

M.Sc-(Maths) Sem-I


5 Algebra-I

M.Sc-(Maths) Sem-I


6 Algebra-II

M.Sc-(Maths) Sem-I


7 Integral Calculus

B.A/B.Sc-II


Research Paper Publications

1. P.K. Sharma “(, )-Cut of Intuitionistic fuzzy groups” International Mathematics

Forum , Vol. 6, 2011, no. 53, 2605-2614

2. P.K. Sharma “Homomorphism of Intuitionistic fuzzy groups ” International

Mathematics Forum , Vol. 6, 2011, no. 64, 3169-3178

2

3. P.K. Sharma “ Intuitionistic fuzzy groups”, International Journal of Data Ware

housing & Mining, Vol. 1 , Issue 1 , (2011) , 86-94

4. P.K. Sharma “ Translates of Intuitionistic fuzzy subgroups” , International Journal of

Pure and Applied Mathematics , Vol. 72, no.4 , 2011, 555-564

5. P.K. Sharma “On the Intuitionistic fuzzy order of an element in a group”, Research

Cell: International Journal of Engineering Science” Special Issue , Sept. 2011 , Vol.

4 , 355-362.

6. P.K. Sharma “ On Intuitionistic Magnified Translation in Groups”, International

Journal of Mathematical Sciences and Applications, Vol. 2, no.1, 2012, 139-144

7. P.K. Sharma and Vandana Bansal “ Anti Homomorphism of Intuitionistic Magnified

Translation in Groups”, International Journal of Mathematical Sciences and

Applications, Vol. 2, no.1 , 2012, 161-166

8. P.K. Sharma “ On Intuitionistic Magnified Translation in Rings” International

Journal of Algebra, Vol.5 , 2011 , no. 30 , 1451-1458.

9. P.K. Sharma “(, )-Cut of Intuitionistic fuzzy modules”, International Journal of

Mathematical Sciences and Applications, Vol. 1 , no.3 , Sept. 2011, 1489-1492

10. P.K. Sharma “ Translates of Intuitionistic fuzzy subrings”, International Review of

Fuzzy Mathematics” Vol. 6 , No. 2 , 2011, pp. 77-84

11. P.K. Sharma “ Intuitionistic fuzzy ideal in near rings”, International Mathematics

Forum, Vol. 7 , 2012 , no. 16, 769-776

12. P.K. Sharma and M. Yamin “Relative relation modules of SL( 2, p) and PSL(2, p)

groups” Journal of Indian Mathematics Society (JIMS), Vol., 80 , no. 1-4 , (2013),

13. P.K. Sharma “ Common fixed point for two pair of compatible mapping” ,

Proceedings of International Conference on Mathematics and soft computing

( Application in Engineering),held at N.C. College of Engg. Israra , Panipat 4-5th

Dec. , 2010 , page 107-113.

14. P.K. Sharma “ On the direct product of Intuitionistic fuzzy groups”, International

Mathematical Forum , Vol. 7 , 2012 , no. 11, 523-530

15. P.K. Sharma “ On intuitionistic fuzzy abelian subgroups” Advances of Fuzzy Sets and Systems , Vol. 12(1), 2012 , pp. 1-16

16. P.K. Sharma “ On Translates of intuitionistic fuzzy abelian subgroups” , Advances in Fuzzy Sets and Systems (Accepted)

3

17. P.K.Sharma “ t- Intuitionistic fuzzy Quotient modules” International Journal of Fuzzy Mathematics & System (IJFMS) Vol., 2, no. 1, 2012, 37-45

18. P.K.Sharma and Ashu Bahl “ Translates of Intuitionistic fuzzy submodules” International Journal of Mathematicals Sciences, Vol. 11, no. 3-4 , 2012, pp. 277-287

19. P.K.Sharma “ Intuitionistic fuzzy module over Intuitionistic fuzzy ring”, International Journal of Fuzzy Mathematics & System (IJFMS), Vol. 2 , no., 2, 2012, 133-140

20. P.K. Sharma “ Anti Fuzzy Submodule of a Module”, Advances in Fuzzy Sets and Systems , Vol. 12(1), 2012 , pp. 49-57

21. P.K.Sharma “ t-Intuitionitic Fuzzy Quotient Group”, Advances in Fuzzy Mathematics, Vol. 7 , no. 1 , 2012 , pp. 1-9

22. P.K.Sharma “ t- Intuitionistic Fuzzy Quotient Ring”, International Journal of Fuzzy Mathematics & Systems, Vol. 2, No. 3 , (2012), pp. 207-216

23. P.K.Sharma and Vandana Bansal, “ On Intuitionistic anti-fuzzy ideals in rings” International Journal of Mathematicals Sciences, Vol. 11, no. 3-4 , 2012, pp. 237-243

24. P.K.Sharma, “ On Intuitionistic Anti-fuzzy submodule of a module”, International Journal of Fuzzy Mathematics & System (IJFMS) Vol. 2, No 2 (2012), 127-132

25. P.K.Sharma, “ Intuitionistic fuzzy submodules with thresholds ( , ) of modules”, International Journal of Mathematics Sciences and Engineering Applications, Vol. 6, No. III, May , 2012 , 21-30

26. P.K.Sharma, “ Intuitionistic Fuzzy Relation on Modules”, International Review of Fuzzy Mathematics , Vol. 7 , no.1 , (2012) , 13-20.

27. P.K.Sharma, “ t- intuitionistic fuzzy subgroups”, International Journal of Fuzzy Mathematics and Systems (IJFMS) , Vol. 2 , no. 3 , 2012 , pp. 233-243

28. P.K.Sharma, “ t- intuitionistic fuzzy subrings”, International Journal of Mathematicals Sciences , Vol. 11 , no. 3-4 , 2012, pp. 265-275

29. P.K.Sharma, “ Lattices of Intuitionistic fuzzy Submodules", Advances of Fuzzy Sets and Systems ( Communicated )

30. P.K.Sharma, “ Lattices of Anti fuzzy Submodules”, International Journal of Fuzzy Mathematics and Systems , Vol. 2, No. 3 (2012), pp. 345-350

31. P.K.Sharma, “ Q-Intuitionistic L-Fuzzy Submodules”, International Journal of Fuzzy Sets and Systems , Vol. 2 , No. 3, 2012 , pp. 245-252

32. P.K.Sharma, “Structure of Q - Intuitionistic L-Fuzzy Subgroups” (Under preparation)

33. P.K.Sharma, “(, )-Cut of Intuitionistic fuzzy modules- II”, Advances in Fuzzy Sets and Systems (Communicated )

34. P.K.Sharma, “Intuitionistic Fuzzy Prime Ideals (Under Preparation)

4

35. P.K.Sharma, " Translates of Anti fuzzy subgroups ",International Journal of Applied Mathematics and Applications, (July-Dec 2012), Vol, 4 , No. 2 , 175-182

36. P.K.Sharma, " On Intuitionistic Anti-Fuzzy Ideal and Quotient Ring", International Journal of Applied Mathematics and Physics, (July-Dec 2012) (Accepted )

37. P.K.Sharma, "Translates of Anti Fuzzy Subrings And Ideals”, International Journal of Applied Mathematics and Physics” (July-Dec 2012) (Accepted )

38. P.K.Sharma, “ Translates of (Anti) fuzzy submodules , Advances in Fuzzy Sets and Systems ( Communicated )

39. P.K.Sharma, “On Intuitionistic Anti-Fuzzy Subgroup of a group”, International Journal of Mathematics and Applied Statistics,Vol., 3, No. 2 (July-Dec 2012),147-153

40. P.K.Sharma, “ - Fuzzy subgroups, ( Submitted for publication )

41. P.K.Sharma, “ - Anti Fuzzy Subgroups”, International Review of Fuzzy

Mathematics” (July-Dec 2012) ( Accepted )

42. P.K.Sharma, “ (, )- Fuzzy Subgroups”, Fuzzy Sets Rough Sets and Multivalued

Operations and Applications” , Vol. 4 , No. 1, (July-Dec 2012) ,59-71

43. P.K.Sharma, “ (, )- Anti Fuzzy Subgroups ( Submitted for publication )

44. P.K.Sharma, “Relationship between -(Anti) Fuzzy Subgroups and (, )-(Anti)

Fuzzy Subgroups, International Review of Pure and Applied Mathematics” (July-

Dec 2012) (Accepted)

Talks / Paper Presentations in Conferences / Colleges

1. Mohammand Yamin and P.K. Sharma, “ Structure of relative relation modules of

SL(2,p) and PSL(2,p) groups” , to be presented in the “International Conference of

Mathematical Sciences and Statistics” , Malaysia , 5-7, Feb., 2013

2. Delivered an Invited talk on the topic “ Intuitionistic Fuzzy Algebra” , in the

National conference on Algebra , Analysis and their Applications , sponsored by

N.B.H.M and organized by M.A.M. College, Jammu from 18-19 August, 2012

3. Presented a research paper (with Ashu Bahl ) titled “Translates of Intuitionistic

fuzzy submodules”, International conference of Mathematics and Mathematical

Sciences held at New Delhi from 7th July , 2012.

4. Presented a research paper (with Vandana Bansal) titled “On Intuitionistic anti-

fuzzy ideals in rings”, International conference of Mathematics and Mathematical

Sciences held at New Delhi from 7th July , 2012.

5

5. Presented a research paper titled “t- intuitionistic fuzzy subrings”, International

conference of Mathematics and Mathematical Sciences held at New Delhi from 7th

July , 2012.

6. Delivered an Invited talk “Importance of Applied Sciences in Engineering” at CT

Institute , Shapur , at the Faculty development programme sponsored by PTU , from

May , 15-19 , 2012.

7. Presented a research paper titled “t- Intuitionistic Fuzzy Quotient Group” in the

National Conference in Algebra”, held at H.P. University,Shimla,27-28 march 2012

8. Had been an Invited Resource Person in the National Seminar on “ Advanced

Mathematics: Its Implications in Modern Era”, at R.R. Bawa college for Girls on

25th Feb., 2012

9. Had been an Invited Resource Person in the National Conference on “ Recent

Advances and Methods in Mathematics Education”, at Ramgarhia College of

Education from 15-16th Feb., 2012

10. Delivered an Extension lecture titled “ Eigenvalues and Eigenvectors and their

applications” at KRM D.A.V. College , Nakodar on 10th Feb., 2012

11. Delivered an Invited talk “ Use of Fuzzy Mathematics in Technology” in the

INSPIRE-2012 , Sponsored by DST , held at ISF College of Pharmacy , Moga ,

Punjab on 19th Jan. 2012.

12. Presented a research paper titled “On Intuitionistic Magnified Translation in

Groups” in the 1st International Conference on Mathematical Sciences and

Applications” , held New Delhi on 18th December , 2011

13. Presented a research paper (with Vandana Bansal ) titled “Anti homomorphism of

Intuitionistic Magnified Translation in Groups” in the 1st International Conference

on Mathematical Sciences and Applications” , held New Delhi on 18th December ,

2011.

14. Delivered an Extension Lecture “ Modules versus Vector spaces” at Post Graduate

Department of Mathematics , D.A.V. College, Bathinda and Abhoar on 4th

November, 2011

15. Presented a research paper “(, )-Cut of Intuitionistic fuzzy modules” in the

National Seminar “ On Innovations and Applications in Engineering and Applied

6

Sciences” , Organized at Gurukula Kangari Vishwavadyalaya , Haridwar , from

November , 9-10, 2011.

16. Presented a research paper “ On intuitionistic fuzzy order of an element in a group”

in the “ National Conference on Recent Trends in Information Technology and Its

Applications in Industry” held at Bhaderwah Campus , University of Jammu from

25th Sept, - 26th Sept., 2011.

17. Presented a search paper on “Common fixed point for two pair of compatible

mapping” in the International Conference on “ Mathematics and soft computing

application in Engineering” Sponsored by DST , DRDO and ICMR at N.C College

of Engineering, Israna , Panipat. ( Dec. 2010)

18. Presented a paper on “ Eigenvalues and Eigenvector and their applications” in the

U.G.C. Sponsored National Seminar on “ Importance of Mathematics “ at S.L.

Bawa D.A.V. College , Batala on Feb., 26 , 2011.

19. Delivered a talk on “ Studying groups by generators and relations” at the 25th

Conference of Ramanujan Mathematical Society held at NIT , Jalandhar , from

May 3- 5 , 2010.

20. Delivered an extension lecture “Modules Versus Vector Spaces” at Govind

National College, Narangwal Distt. Ludhiana., on 11th March. 2010.

21. Presented a search paper on “ Semi-Homeomorphism in Topological Spaces” in

the Conference of Jammu Mathematical Society , Jammu univ. ( Feb. 2010)

22. Attended an Advanced training school in Mathematics (ATML-2009), Organized

by National Board of Higher Mathematics (NBHM), held at Panjab University

Chandigarh from 15th Dec., 2009 to 31st Dec., 2009.

23. Delivered an extension lecture “Eigenvalues and Eigenvectors and their Application

at Dev Samaj College for Women , Ferozepur City on 26th Nov. 2009.

24. Presented a Search paper “Relative relation modules of SL(2,p) and PSL(2,p)

groups” at the 11th National Conference of Indian Society of Information

Theory and Application( ISITA) held at GGS Khalsa college , Sarhali (Taran

Taran) from 24th Oct. to 26th Oct., 2009

7

25. Participated in the workshop on Optimization Techniques and Their Applications

To various Disciplines Sponsored by DST, Govt. of India held at GGS Khalsa

college , Sarhali (Taran Taran) from 19th Oct. to 23rd Oct., 2009

26. Participated in the Four day Mathematical Olympiad Orientation Programme for

School and College teachers Sponsored by NBHM, held at D.A.V.C.Amritsar

from 24th Sept. to 27th Sept., 2009.

27. Delivered a talk on “ Application of Mathematics in Life” at Dr. B.R. Ambedkar

Institute of Technology , Jalandhar, ( 7th November, 2008 )

28. Delivered an Extension Lecture Titled “ Connectedness and disconnectedness in

topological spaces ” at Govind National College, Narangwal Distt. Ludhiana.,

( 10th March, 2008 )

29. Presented a search paper “On Semi-connectedness and locally semi-connectedness

in topological spaces” in conference of Jammu mathematical society, Jammu

Univ. (Feb. 2008)

30. Delivered an extension lecture “Modules Versus Vector Spaces” at Dev Samaj

College for Women , Ferozepur City on 17th Nov. 2007.

31. Presented a search paper on “ Strongly connected spaces” in the 41st meeting of

Programme Advisory Committee on Mathematical Sciences at G.N.D.U. Amritsar

( Feb. 2007)

32. Presented a search paper on “ Fuzzy sets and Fuzzy system” in the National seminar

on Information Theory and Operation Research at S.S.M.C. Dinanagar (Feb. 2006)

33. Delivered an Extension Lecture Titled “ Importance Of Prime Numbers” at

B.D. Arya Girls College, Jalandhar Cantt., (9th Jan, 2006 )

34. Presented a search paper “ On Lattices of L-topological Spaces” in the National

Seminar on Applied Mathematics at M.A.M College, Jammu(June , 2005)

35. Presented a search paper on “ Homotopy in Topological Spaces” in the Conference

of Jammu Mathematical Society , Jammu univ. ( Feb. 2005)

36. Participated in the Joint India American Mathematical Society Meeting At IISc ,

Bangalore ,(Dec. 2003)

37. Delivered a series of lectures on “Algebra and Set Theory” for an Inservice

Orentation Course for the Maths. Lecturers of Govt. Senior Secondary Schools of

8

Jalandhar Division from 9-12-1996 to 14-12-1996 at Govt. Inservice Training

Cenre Jalandhar.

38. Presented a search paper on “ Indecomposibility of Relative relation modules of

finite p-group” in the Indian Mathematical Society Conference Held at Aligarh

Muslim Univ. (Dec.1991)

39. Presented a search paper on “ Decomposibility of Relative relation modules of

finite elementary abelian p-group” in the Indian Mathematical Society Conference

Held at Gujarat Univ. Surat (Dec.1990)

Research Project Completed

1. “The Relation modules of finite groups” Submitted to Kurukshetra university ,

Kurukshetra , 1999

2. “ Higher Relative relation modules” Submitted to Kurukshetra university ,

Kurukshetra , 1999

3. “The Relative relation modules of finite groups” Submitted to Kurukshetra

university , Kurukshetra , 2000

4. “ Generalized semi-closed sets in topological spaces” Submitted to Periyar

University April 2007

5. “Semi-generalized Regular spaces and semi-generalized Normal spaces”

Submitted to Periyar University April 2007

6. “ Decomposition of fuzzy topological spaces” Submitted to Periyar University

May 2007

7. “ Strongly connected spaces” Submitted to Alagappa University May 2007

8. “Semi-connectedness and semi-locally connectedness in Biotopological spaces”

Submitted to Periyar University June 2007

9. “ Certain Common Fixed Point Theorems” Submitted to Periyar University July 2007

10. “ Connectedness in Biotopological spaces” Submitted to Periyar University July 2007

11. “ Quasi-metric space and Biotopological spaces” Submitted to Periyar University October 2007

12. “ Fuzzy - connecedness and Fuzzy - disconnectedness in Fuzzy topological

9

spaces.” Submitted to Chawdary Devi lal University , Hisar , Harayana (2008)13. “Compactness in Fuzzy topological spaces” Submitted to Vinayka Mission

Research Foundation–Deemed University, Saleem ( Tamil-Nadu), (2008)14. “ Finistic spaces in L-topology” Submitted to Vinayka Mission Research

Foundation–Deemed University, Saleem ( Tamil-Nadu), (2008)

15. “ Semi-continuity and Semi-homeomorphism in topological spaces” Submitted to

SRI Venkateswara University , Tirupati , (2008).

16. “ Some weak form of continuity in Topological spaces” Submitted to

Maharishi Markandeshwar University (Mullana), Ambala, Harayana , 2009

17. “ Fixed point Theorems in Generalized metric spaces” Submitted to Maharishi

Markandeshwar University (Mullana), Ambala, Harayana , 2009

18. “ Minimal Presentation of Groups” Submitted to Maharishi Markandeshwar

University (Mullana), Ambala, Harayana , 2009

19. “ On Fuzzy Bitopological Spaces” Submitted to Maharishi Markandeshwar


20. “ Some Relation modules of Finite Groups” Submitted to Maharishi


21. “ Compactness in Bitopological spaces” Submitted to Maharishi


22. “ Projective and Injective Modules “Submitted to Maharishi Markandeshwar


23. “ On Semi-homeomorphism in Topological spaces” Submitted to Maharishi


24. “ Relative Relation modules of Finite groups” Submitted for Maharishi

Markandeshwar University (Mullana), Ambala, Harayana, June,2010

25. Some Common Fixed point Theorems in Metric Spaces” Submitted for

Maharishi Markandeshwar University (Mullana), Ambala, Harayana,June,

2010

Courses Taught :

Topology, Modern Algebra , Real Analysis , Theory of Numbers , Dynamics and Statics Linear Algebra and Calculus , Discrete Mathematics.

Membership of Professional Bodies :

10

1. Life Member of Jammu Mathematical Society. 2. Life Member of Indian Society of Information Theory and Application (ISITA) 3. Life Member of Indian Mathematical Society. 4. Life Member of Ramanujan Mathematical Society.

Editor/ Referee / Reviewer of Journals

1. Member of the Editorial Board of “International Journal of Fuzzy Mathematics

and Systems” of Research India Publication , New-Delhi.

2. Referee of Journal of Intelligent and Fuzzy System , STM Publishing House ,

IOS Press.

Additional Qualification

1. Certificate Course in C++ language form IBM with O- Grade ( June, 2002)

2. Certificate Course in ABC of Windows from Tata InfoTech Education (Aug.,

2001)

3. Working Knowledge of Foxfro Language (Private , 2000)

Additional Information

Intelligence measurement program (online test conducted by Tickle) , I earned

distinction with IQ score of 122 (Dec. 2005)

http://web.tickle.com/tests/uiq/certificate.jsp

A UGC Major Project titled “ A study of intuitionistic Fuzzy G-modules” has

been shortlisted.

Name of referees :

1. Prof. (Dr.) Mohammad Yamin , Department of Management Information System

Faculty of Economics and Administration , King Abdulaziz University , Jaddah

Saudi Arabia

Email- [email protected] , Tell no. + 966502109000

2. Prof. Sharfuddin Ahmad, Department of Mathematics, Faculty of Natural

11

mailto:[email protected]

http://web.tickle.com/tests/uiq/certificate.jsp

Science, Jamia Millia Islamia, Jamia Nagar, New Delhi – 110025, India.

Email - [email protected] , Tell no - 09990367296

3. Prof. (Dr.) I.B.S. Passi , Professor Emeritus and Honorary Professor IISER- Mohali , Center for Advanced Study in Mathematics, Punjab University , Chandigarh. PIN- 160014Email [email protected] and [email protected] , Tell No. 09872448638 (M)

4. Prof. (Dr.) T. D. Narang , Professor Emeritus and Honorary Professor Department of Mathematics , Guru Nanak Dev University Amritsar, Punjab. Email [email protected] Tell No. 09815710509 (Resi) , 09815710509 (Mobile)

Mailing address :

Office: Residence:

P.G. Department of Mathematics H.NO-19 , Arjun Nagar D.A.V. College , Jalandhar City Ladowali Road , Jalandhar City ,

Punjab, India. PIN- 144008 Punjab, India. PIN - 144001.

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

Phone : (O) 0181-2255641 , 42 , 43 (R) 0181-2238747 Mobile : 09872006365

12







Bio-Data ( DR.P.K.sharMA) as on 1st Novemeber 2012

Documents

Transcript of Bio-Data ( DR.P.K.sharMA) as on 1st Novemeber 2012