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Transcript of 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.
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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
938170112-1 Sharma Publications, Jalandhar
5 Algebra-I
M.Sc-(Maths) Sem-I
938126176-8 Sharma Publications, Jalandhar
6 Algebra-II
M.Sc-(Maths) Sem-I
938170110-5 Sharma Publications, Jalandhar
7 Integral Calculus
B.A/B.Sc-II
938126139-3 Sharma Publications, Jalandhar
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
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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)
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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)
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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.
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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
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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
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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
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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
University (Mullana), Ambala, Harayana , 2009
20. “ Some Relation modules of Finite Groups” Submitted to Maharishi
Markandeshwar University (Mullana), Ambala, Harayana , 2009
21. “ Compactness in Bitopological spaces” Submitted to Maharishi
Markandeshwar University (Mullana), Ambala, Harayana , 2009
22. “ Projective and Injective Modules “Submitted to Maharishi Markandeshwar
University (Mullana), Ambala, Harayana , 2009
23. “ On Semi-homeomorphism in Topological spaces” Submitted to Maharishi
Markandeshwar University (Mullana), Ambala, Harayana , 2009
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
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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
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