Dr. Manoj Garg
Principal
Durga Narayan P. G. College, Fatehgarh, Farrukhabad (U.P.)
Mob.No.: 9412932783, 8299292681
Email: gargunderscoremanoj1972@gmail.com, gargmanoj7278@gmail.com
EXPERIENCE
(i) Teaching Experience:-
∗Work as an Associate Professor of Mathematics in Nehru P.G. college, Chhibramau, Kannauj, U.P. affiliated to C.S.J.M. University, Kanpur since Jan 03, 2001 to Nov 8, 2021.
(ii) Administrative Experience:-
∗Working as a Principal in D. N. P. G. college, Fatehgarh, Farrukhabad, U.P. affiliated to C.S.J.M. University, Kanpur since Nov 09, 2021 to till now.
(iii) Research Experience:-
∗ Sixteen years research experience in the field of General Topology.
ACADEMIC ACHIEVEMENTS
∗ JRF-NET (C.S.I.R.) : Qualified National Eligibility Test for Lectureship with JRF (4 times).
∗ SLET (RAJASTHAN) : Qualified State Eligibility Test for Lectureship.
ACADEMIC QUALIFICATIONS
* Ph.D. in Mathematics on the topic “A study of new types of closed sets and functions in topological spaces and bitopological spaces’ from Dept. of Mathematics C.C.S. University, Meerut in 25, June 2010.
* M. Phil. in Mathematics, C.C.S. University Campus, Meerut in 1998 with 75% marks.
* M.Sc. in Mathematics, C.C.S. University, Meerut in 1994 with 72% marks.
* B.Sc. with Physics, Chemistry & Mathematics from C.C.S. University, Meerut in 1992 with 64% marks.
* XII from S.S.D. Inter College, Meerut in 1989 with 62% marks.
* X from S.S.V. Inter College, Hapur (Ghaziabad) in 1987 with 53% marks.
RESEARCH PUBLICATIONS
1. Garg M., S. Agarwal, S. Goel and C.K. Goel : On ˆˆg -homeomorphisms in topological spaces, Ultra Sci. Phy. Sci., 19(3) M (2007), 697-706.
2. Agarwal S., M. Garg and C.K. Goel : On *gs-homeomorphism in topological spaces, J. Int. Acad. Phy. Sci. 11(2007), 63-70.
3. Garg M., S. Agarwal and C.K. Goel : On ˆˆg -closed sets in topological spaces, Acta Ciencia Indica XXXIII M, 4(2007), 1643-1652.
4. Agarwal S., M.Garg : On ψ-closed sets in bitopological spaces, Acta Ciencia Indica, XXXIII M (4) (2007), 1605-1614.
5. Agarwal S., M.Garg : A new type of points and bases in topological spaces, Acta Ciencia Indica XXXIV, 1 (2008), 233-240.
6. Garg M., S.K. Khare, S. Agarwal and C.K. Goel : On **g-closed sets in topological spaces, Ultra Sci. Phy. Sci., 20 (2008), 403-416.
7. Garg M., A. Chauhan and S. Agarwal : New generalization of homeomorphisms in topological spaces, Ultra Sci. Phy. Sci., 20 (2008), 455-462.
8. Agarwal S., C. K. Goel and M. Garg : On g**-closed sets in bitopological spaces, Reflections des ERA, JMS 3(2)(2008), 97 - 114.
9. Agarwal S., M. Garg : Some new types of homeomorphisms in topological spaces, Antarctika J. Math. 5(1), (2008), 97-114.
10. Garg M., S. Agarwal : On gs ˆg -homeomorphisms and ˆg gs-homeomorphisms in topological spaces, J. Int. Acad. Phy. Sci. 12(2008), 89-96.
11. Agarwal S., M.Garg and C.K. Goel : On *gs-closed sets in bitopological spaces, J. Int. Acad. Phy. Sci., 13(2), (2009), 155-166.
12. Garg M., S. Agarwal and C.K. Goel : On ψ-homeomorphisms in topological spaces, Reflections des ERA, JPS, 4(2010), 9-24.
13. Dixit M., M.Garg and P.K.Tripathi : On 0g -closed sets in bitopological spaces, Ultra Sci. Phy. Sci., 22(1)M(2010), 323-332.
14. Agarwal S., M. Garg and C.K. Goel : Between semi-closed sets and generalized semi-closed sets in topological spaces, Ultra Sci. Phy. Sci., 22(2)(2010), 539-550.
15. Garg M. & S. Agarwal: A fixed point theorem on five metric space, Int. J. Math. Analysis,40(5)(2011),1973-1982.
16. Garg M. & S. Agarwal: Banach contraction principle on cone pentagonal metric space, J. Adv. Std. Topo., 3(1)(2012),12-18.
17. Garg M., Abhishek Kumar & Meera Srivastav: Fixed point theorem on complete cone metric space, J. Int. Acad. Phy. Sci., 15(1), (2011), 67-70.
18. M. Garg : A fixed point theorem on n-metric spaces, Ultra Sci. Phy. Sci., 24(3)A(2012), 535-542.
19. M. Dixit, M. Garg, and P.K.Tripathi : On Quasi 0g -open and Quasi 0g-closed functions, Reflections des ERA, JPS, 7(4)(2013), 375-384.
20. Garg, M. and S. Agarwal : Banach contraction principle on cone generalized metric space, Ultra Sci. Phy. Sci., 25(1)B(2013), 91-96.
21. Garg, M., M. Dixit and P.K.Tripathi : On 0g -homeomorphisms in topological spaces, Ultra Sci. Phy. Sci., 25(1)A(2013), 95-102.
22. M. Garg : Banach contraction principle on cone hexagonal metric space, Ultra Sci. Phy. Sci., 26(1)A(2014), 97-103.
23. M.Garg : On Quasi **g-open and Quasi **g-closed functions, Ultra Sci. Phy. Sci., 26(2)A(2014), 154-158.
24. A. P. Singh, M.Dixit and M. Garg : On *g-closed sets in bitopological spaces, Ultra Sci. Phy. Sci., 26(1)A(2014), 88-96.
25. M. Garg : Gprsg-homeomorphisms and Sggpr-homeomorphisms in topological spaces, Ultra Sci. Phy. Sci., 27(1)A(2015), 43-48.
26. Garg, M. and S.Agarwal : On 0g s* homeomorphism in topological spaces, Ultra Sci. Phy. Sci., 27(1)A(2015), 90-94.
27. C.K.Goel, M.Garg and Poonam Agarwal : On **gs-closed sets in topological spaces, Ultra Sci. Phy. Sci., 27(2)B(2015), 95-104.
28. M.Garg : A new type of generalized fixed point theorem in a complete metric space, Ultra Sci. Phy. Sci., 27(31)(2015), 173-176.
29. Garg, M. and S. S. Rathore : A new type of closeds set in bitopological spaces, Ultra Sci. Phy. Sci., 27(3)A(2015), 245-254.
30. Garg, M. and S. S. Rathore : On quasi g -open and quasi g -closed functionss, Ultra Sci. Phy. Sci., 28(3)A(2016), 183-186.
31. M.Garg and Priyanka :New generalization of fixed point theorem in a complete metric space, Ultra Sci. Phy. Sci., 28(3)(2016), 179-182.
32. M.Garg and Shikha Agarwal : On 0g -closed sets in topological spaces, Ultra Sci. Phy. Sci., 28(5)A,(2016), 235-244.
33. Kumar S. and M. Garg : A fixed point theorem in rational form on compact metric space, Ultra Chemistry, 12(2), (2016), 52-54.
34. Singh D. V. and M. Garg : An extended fixed point theorem in the rational form in a complete metric space, Int. Jour. Current Adv. Res., 5(9),(2016), 1248-1251.
35. M. Garg : On ˆˆg -closed sets in bitopological spaces, Int. Jour. Curr. Adv. Res., 5(10),(2016), 1327-1332.
36. M. Garg : A generalized fixed point theorem in dislocated-quasi metric space, Ultra Sci. Phy. Sci., 29(2), 71-73, 2017.
37. M. Garg : A new type of fixed point theorem on compact metric space, Ultra Sci.Phy. Sci., 29(2), 74-76, 2017.
38. M. Garg : The results on fixed points in Dislocated Quasi-metric space, Int. Jour. Current Adv. Res., 5(12),(2016), 1601-1602.
39. M.Garg : A fixed point theorem in a complete metric space, Int. Jour. Current Adv. Res., 6(1), 2017, 1819-1821.
40. M.Garg and S.S.Rathore : On g -homeomorphisms in topological spaces, Int. Jour. Latest Trends in Engineering and Technology, 8(2), 2017, 260-263.
41. M. Garg : ˆ sgg -homeomorphism and ˆgsg -homeomorphism in topological spaces, Int. Jour. Current Adv. Res., 6(3), 2017, 2543-2548.
42. M. Garg : On Quasi ˆˆg -open and Quasi ˆˆg -closed functions, Int. Jour. Current Adv. Res., 6(3), 2017, 2330-2344.
43. M. Garg : On **g-homeomorphisms in topological spaces, Ultra Sci. Phy. Sci., 29(7), 270-275, 2017.
44. M. Garg : On gspsg-homeomorphisms and sggsp-homeomorphisms in topological space, Ultra Sci. Phy. Sci., 29(7), 264-269, 2017.
45. M.Garg : A theorem on Dislocated Quasi-metric space, 29(8), 2017, 312-314, Ultra Sci. Phy. Sci.
46. M. Garg : On Quasi *gs- open and Quasi *gs-closed functions, 6(6), 2017, 4097-4099, Int. Jour. Current Adv. Res..
47. M. Garg : On g#s*-homeomorphisms in topological spaces, 6(6), 2017, 4104-4106, Int. Jour. Current Adv. Res..
48. M.Garg : A new concept of pair wise quasi H-closed spaces via ideals, 29(8), 348-351, 2017, , Ultra Sci. Phy. Sci.
49. M.Garg : Generalization of pair wise quasi-H-closed spaces, 8(6), 2017, 17574-17576, Int. Jour. Rec. Sci. Res.
50. M.Garg : New type of Fixed point Theorem in a complete cone metric space, 8(6), 2017, 17886-17887, Int. Jour. Rec. Sci. Res.
51. S.S.Rathore and M.Garg : A generalized closed sets in topological spaces, 8(2), 2018,260-263, Int. Jour. Current Adv. Res.
52. M. Garg and S.S.Rathore : On g -closed mappings in topological spaces, 8(7), 2019, 1058-1059, Int. Jour. Eng. Res. Tech.
53 Shikha Agarwal and M.Garg : New Approach of Fixed Point Theorem in a Complete Metric Space, 10(6)A, 2021, 24569-24571, Int. Jour. Current Adv. Res.
54. D. L. Yadav and M.Garg : New generalization of homeomorphisms in topological spaces, 34(1), 1-5, 2022, , Ultra Sci. Phy. Sci.
RESEARCH ARTICLES PUBLICATIONS
1. M.Garg : A generalized fixed point theorem in fuzzy metric space, National Seminar on Higher education in present context, Government Raja P. G. College, Rampur, 61-65.
CONFERENCE / SEMINAR/WORKSHOP/INVITED TALK
1. Participated in All India Symposium on Mathematics into the 21st Century on 26-27 March, 2000 held at Dept. of Mathematics, Ch.Charan Singh University, Meerut.
2. Presented a research paper in XI International Conference organized by International Academy of Physical Sciences, Allahabad University, Allahabad held on 20-22 Feb, 2010.
3. Presented a research paper in XII International Conference organized by International Academy of Physical Sciences, University of Rajasthan, Rajasthan held on 22-24 Dec, 2010.
4. Presented a research paper in XIII International Conference organized by International Academy of Physical Sciences, University of Petroleum and Energy Studies, Dehradun held on 14-16 June, 2011.
5. Presented a research paper in XIV International Conference organized by International Academy of Physical Sciences, S. V. National Institute of Technology, Surat, Gujrat held on 22-24 Dec, 2011.
6. Resource Person in National Seminar on Role of Dr B R Ambedkar in National Re-construction, organized by S. R. K. P. G. College, Firojabad, U.P. held on 01-02, March, 2012.
7. Presented a research paper in National Conference on Mathematical Analysis and Modeling organized by S R M University, Ghaziabad held on 30-31 March, 2012.
8. Participated in National Workshop on Uses of Science Vocabulary in Higher Education, organized by K.K.(P.G.) College, Etawah, U.P. and Commission of Scientific and Technology Vocabulary, held on 27-28, February, 2013.
9. Participated in National Workshop on Mathematical Analysis and Modeling [NWMAM-2013] organized by S.R.M. Univ., Delhi NCR Campus, Ghaziabad, U.P., held on 5, April, 2013.
10. Presented a research paper in International Conference (RTISOC-2014) organized by M.M. College, Modinagar, Ghaziabad held on 28 Feb-1 March, 2014.
11. Invited talk in a seminar on Application of Computer software in Mathematical Molding organized by C.S.T.T. at Non Linear Dynamics Lab, USBAS, G.G.S.I.P.U., held on 16–17, May, 2014.
12. Participated in Advanced Workshop on Hyperbolic PDEs Theory, Numerical and applications [HPTNA-2014] organized by LMN Institute of Information Technology Jaipur, held on 1–9, December, 2014.
13. Participated in National Conference on Partial Differential Equation [CPDE-2014] organized by LMN Institute of Information Technology Jaipur, held on 10–11, December, 2014.
14. Presented a research paper in National Conference in community health and Nutrition organized by The Society for Clinical Nutrition and Metabolism (IAPEN)held on 8 March, 2015.
15. Participated in National Workshop on Cryptography [NWC-2015] organized by LMN Institute of Information Technology Jaipur, held on 14–20, December, 2015.
16. Participated in National Workshop on Advanced Techniques in Mathematics, Physics and Computer Science, organized by S R M University, Ghaziabad held on 18-20 Feb, 2016.
17. Invited talk in National Conference on Role of science and technology in socio economic development organized by Dr. B. R. Ambedker GDC, Mainpuri (U.P.)held on 28–29, Febuary, 2016.
18. Participated in National Workshop on Research Methodology in science and social science, organized by Department of Defence Studies, Meerut College, Meerut, held on 12–18, June, 2016.
19. Presented a research paper in XIX International Conference organized by International Academy of Physical Sciences, Kumaun Uni. Nainital, held on 17-19Oct, 2016.
20. Presented a research paper in National Conference organized by Shaheed MangalPanday Govt. Girls P.G. College, Madhavpuram, Meerut, held on 11-12 Nov., 2016.
21. Presented a research paper in National Seminar on Natural Resources Management, organized by Bharat Vikas Parishad and Dept. of Environmental Sciences, CCS University, Meerut held on 29 January, 2017.
22. Presented a research paper in National Conference on Recent Trends in Mathematical Sciences (NCRTM-2017) organized by Dept. of Mathematics, Sri Mata Vaishno Devi University, Katra held on 9-10 February, 2017.
23. Presented a research paper in National Conference on Recent Trends in Mathematical Analysis and its application organized by Dept. of Mathematics,Institute of science, Banaras Hindu University, Varansi held on 17-19 February, 2017.
24. Presented a research paper in National Conference on Innovations in Science and society organized by Lokmani Sharma Swatantrata Sangram Sainani, Government Degree College, Mant, Mathura, U.P. held on 5-6 March, 2017.
25. Presented a research paper in National Conference on Current trends in applied Sciences organized by J. V. Jain College, Saharanpur, U.P. held on 18-19 March, 2017.
26. Presented a research paper in XX International Conference organized by International Academy of Physical Sciences, Faculty of Science, Osmania University, Hyderabad held on 14-16 July, 2017. On **gs- homeomorphism in topological spaces.
27. Presented a research paper in XXI International Conference organized by International Academy of Physical Sciences, Department of Mathematics, Guru Jambheshwar University, Hisar, Haryana held on 28-30 October, 2017. On Quasi *gs-open and Quasi *gs-closed functions.
28. Presented a research paper in national Conference organized by V. R. A. L. Rajkiya Mahila Mahavidyalya, Bareilly held on 06-07 January, 2018. A common fixed point theorem in Fuzzy metric space.
29. Presented a research paper in national Conference on Education Advancement Synergetic Approach and Professional Ethics in Higher Education organized by V. S. P. Government P. G. College, Kairana, Shamli, U. P. held on 10-11 Febuary, 2018. Higher Education in India : Challenges and Suggesctions.
30. Presented a research paper in National Conference on Recent Advances in Mathematical Modeling and Analysis organized by Dept. of Mathematics, Institute of science, Banaras Hindu University, Varansi held on 16-17 February, 2018. Generalized Fixed Point Theorems for OWC in Fuzzy Metric Space.
31. Presented a research paper in National Conference on Advances in Operations Research and Mathematical Sciences (AORMS-2018) organized by Dept. of research and post graduate studies in Mathematics and Dept. of statistics, Vardhman College, Bijnor, U.P. held on 24-25 February, 2018. A Generalized Fixed Point Theorem for non compatible mappings in G-metric space.
32. Presented a research paper in International Conference on Sustainable Development: Strategies & Emerging Trends organized by Netaji Subhash Chandra Bose Got. Girls P. G. College, Aliganj, Lucknow, U.P. held on 16-17 November, 2018. A new type of fixed point theorem in metric space.
33. Presented a research paper in National Seminar on Higher education in present context: Challenges and prospects organized by Government Raja P. G. College Rampur, U. P. held on 19-20 January, 2019. A Generalized Fixed Point Theorem in Fuzzy metric space.
34. Presented a research paper in National Conference on Holistic approach towards quality enhancement in Higher education organized by IQAC, Pt C M S Got. P. G. College, Rishikesh sponsored by NAAC held on 29-30 January, 2019. On G bar closed mappings in topological spaces.
35. Presented a research paper in National Conference on Modeling, Opimization and computing for Technological and Sustainable development MOCTSD-2019 organized by Dept of mathematics SRM Institute of Science and Technology Ghaziabad U. P. held on 26-28 April, 2019. A fixed point theorem in G-metric space.
36. Presented a research paper in XXIV International Conference organized by International Academy of Physical Sciences, Department of Mathematics, C C S University, Meerut held on 09-11 August, 2019. A Generalized fixed point theorem in G-metric space.
37. Participated in National Workshop on Role of best practices and academic and administrative audit in assessment and accreditation on higher education institutions, organized IQAC Vardhman College Bijnor, U P, held on 20 October, 2019.
38. Presented a research paper in National Conference on Green development for environmental concerns and sustainable progress organized by A S P G College, Mawana, Meerut held on 1 December, 2019. A generalized closed sets in topological spaces.
39. Participated in National Workshop on Research Methodology and EnvironmentSustainable Development, organized by RUSA, Meerut College, Meerut, held on 27 December, 2019–02, January, 2020.
40. Presented a research paper in International Conference on Interdisciplinary Research for sustainable development : Inoovation and Opportunities (ICIRSD-2020), organized by Vardhman College Bijnor, U P, held on 14-16 Feb, 2020. A new type of homeomorphisms in topological spaces.
41. Presented a research paper in National Conference on Covid-19, Challenges and solutions organized by Dr Bhimrav Ambedkar Government College Padaria, Mainpuri held on 6-7 March, 2021. New type of homeomorphisms in topological spaces.
BOOKS PUBLISHED
1. Text Book on Linear Algebra, Krishna Prakashan Media (P) Ltd., I.S.B.N : 719-14(B).
2. Text Book on Geometry (2D & 3D), Krishna Prakashan Media (P) Ltd., I.S.B.N : 719-14(B).
3. Text Book on Integral Transforms, Krishna Prakashan Media (P) Ltd., I.S.B.N : 722-19(B).
4. B. Sc. Objective Mathematics-1, Krishna Prakashan Media (P) Ltd., I.S.B.N : 978-93-88140-70-6.
5. B. Sc. Objective Mechanics, Krishna Prakashan Media (P) Ltd.
6. A Text book of Vector Calculus, 2020, Kedar Nath Ram Nath, Meerut, I.S.B.N. : 978-93-80803-80-7.
7. Objective Numerical Analysis & Programming in C, 2021, Krishna Prakashan Media (P) Ltd., I.S.B.N : 1649-01(B).
8. Objective Real Analysis, 2021, Krishna Prakashan Media (P) Ltd., I.S.B.N : 978-93-89685-51-0.
9. Objective Geometry and Vector Calculus, 2021, Krishna Prakashan Media (P) Ltd., I.S.B.N : 978-93-88391-05-4.
10. Objective Mathematics-III, 2020, Krishna Prakashan Media (P) Ltd., I.S.B.N : 978-93-89685-65-7.
11. Objective Differential Equations & Integral Transform, 2021, Krishna Prakashan Media (P) Ltd.
PH. D. AWARDED
* One Thesis of Shailendra Singh Rathore has been awarded under my supervision.