Curriculum Vita
Dr. Manoj Kumar Patel
Teaching & Research Experience:
Faculty of Engineering and Technology, Gurukul Kangri University, Haridwar, during 26 March, 2011 to 10 September, 2013.
NIT-Nagaland from 13September, 2013 to till Now.
Sponsored Project : Applied in NBHM with entitled “An Alternative Approach to Generalization of Injective and Projective Modules over Arbitrary Rings”
Academic Qualifications :
B.Sc. Ist Div.(Mathematics, Physics and Chemistry) :V.B.S. Poorvanchal
(2002) University Jaunpur.
M.Sc. in Mathematics,Ist Div(Gold Medalist) :V.B.S. Poorvanchal
(2004) University Jaunpur.
Ph.D. Algebra (Theory of Rings and Modules) : IIT-BHU, Varanasi.
(2012)
Thesis entitled on“Quasi -Principally Injective, Quasi-Principally Projective Modules and Their Generalizations”.
Other Academic Qualifications:
CSIR-NET in Mathematical Sciences, December 2006.
CSIR-(NET+JRF) in Mathematical Sciences, December 2007,
secured rank under top 20% NET awardees in 2007.
GATE in Mathematical Sciences with GATE Score 411, AIR-144.
CSIR-SRF in Mathematical Sciences, June 2010.
Fellowship awarded:
Award of UGC Research Fellowship July - 2007
Approval of JRF/SRF, GATE Fellowship March - 2008.
CSIR-Junior Research Fellowship awarded July -2008.
CSIR-Senior Research Fellowship awarded July - 2010.
NBHM (Post Doc. Fellowship) Could not avail to join, 2013.
Other awards and Honors:
Gold Medal in M.Sc. (Mathematics) 2004.
Shyama Prasad Mukharji Fellowship-Call June - 2008.
Best Paper Presentation award in International Conference GTER-2012.
Courses Taught
Linear Algebra.
Numerical Analysis.
Differential Equations.
Integral Transform.
Complex Analysis.
Operations Research.
Discrete Mathematics
Algebra
Analysis
Ph.D. Supervisor : Ret. Prof. B.M. Pandeya
Ph. D. Student Guided: 1. Ms. Jane Roseline Yimchunger (Pursuing)
2. Mr. Sedevikho Chase(Pursuing)
Research Paper in International Journals :
M. K. Patel (with B. M. Pandeya, A. J. Gupta and V. Kumar), Quasi Principally Injective Modules, International Journal of Algebra, Vol. 4, No. 26, 1255 - 1259, 2010.
M. K. Patel (with B. M. Pandeya, A. J. Gupta and V. Kumar), M-SP Projective Modules, International J. Algebra, Vol. 5, No. 12 , 563-568, 2011.
M. K. Patel (with B. M. Pandeya, A. J. Gupta and V. Kumar), M-SP-Injective Modules, Asian-European Journal of Mathematics, Vol. 5, No.1, pages 1-11, 2012 (World Scientific).
M. K. Patel (with B. M. Pandeya, A. J. Gupta and V. Kumar), C-pseudo injective Modules, East–West Journal of MathematicsVol. 14, No 1(2012) pp. 68-76.
M. K. Patel (with B.M.Pandeya and V. Kumar), Generalization of Semi-Projective Modules, International Journal of Computer Applications, Vol. 83, No. 8,2013 (Impact factor : 3.12).
M. K. Patel (with S. Kumar and A.K.Singh), Optimization of Weibull Deteriorating items Inventory Model under the effect of Price and Time dependent demand with partial backlogging, Sadhana - Academy Proceedings in Engineering Science, ISSN : 0256-2499 (Impact factor : 0.476, H Index -29, SCI)2016, DOI 10.1007/s12046-016-0533-4.
M. K. Patel(with A. K. Singh, S. Pattanayak, A. K. Mahato), On Negacyclic Codes Over the Ring Zp[u]/u^k>, Open Physics, Vol. 14, 1-14, ISSN : 0256-2499 (Impact factor : 1.085, SCI) 2016 (DE Gruyter Open).
Research Paper in Proceeding of International Conference:
M. K. Patel (with B. M. Pandeya ), Quasi-Pseudo Principally Projective Modules, Proceeding of International Conference on Algebra and its Application, 2011.Narosa Publishing House Pvt. Ltd. New Delhi.ISBN:978-81-8487-124-1, No. of pages:184.
M. K. Patel, Properties of Semi-Projective Modules and their Endomorphism Rings, Springer Proceedings in Mathematics & Statistics, Vol. 174, Edt. By Syed Tariq Rizvi et al: Algebra And Its Applications, 978-981-10-1650-9, 419130_1_En (19), 2016.
Book Chaper Published:
M. K. Patel (with B. M. Pandeya ), Quasi-Pseudo Principally Projective Modules, Proceeding of International Conference on Algebra and its Application, 2011. Narosa Publishing House Pvt. Ltd. New Delhi.ISBN:978-81-8487-124-1, No. of pages:184.
M. K. Patel, Properties of Semi-Projective Modules and their Endomorphism Rings, Springer Proceedings in Mathematics & Statistics, Vol. 174, Edt. By Syed Tariq Rizvi et al: Algebra And Its Applications, 978-981-10-1650-9, 419130_1_En (19), 2016.
Research Paper (Accepted)
M. K. Patel (with S. K. Choubey & V. Kumar), Weak Red--Supplemented Modules, Maejo Int. J. Sci. Tech., (SCI, Impact factor : 0.329).
Research Paper Under Process :
M. K. Patel (with V. Kumar and A. J. Gupta), On Semi-Projective Module and their endomorphism rings, (Under revision),Asian European Journal of Mathematics (World Scientific).
M. K. Patel, Finitely M-generated Injective Modules, (Communicated) Acta Mathematica Hungarica 2015, (Springer).
M. K. Pate, FI-Semi Injective and FI-Semi Projective Module, (Communicated) Journal of Algebra and its Applications 2016, (World Scientific).
M. K. Patel, Rings over which Modules are Semi Injective or Semi Projective, (Under process).
Total Citation of Research Paper : 18
Short Term Courses:
“Computer Programming using C” held during September 01-06, 2008 at the Computer Centre of the Banaras Hindu University.
“LaTeX and other open source Software” held during April 01-09, 2009 at DST center for Interdisciplinary Mathematical Sciences, Banaras Hindu University.
“MATLAB Fundamentals” held during November 12-14, 2014 at National Institute of Technology Nagaland, India.
Conference (Paper Presented):
Presented “on Quasi-pseudo principally Projective Modules” in International Conference on Algebra and its Applications held at Department of Mathematics, AMU, Aligarh during February 20-22, 2010.
Presented on “Generalization of Quasi-principally Projective Modules” in Indian Mathematical Society 76th Annual Conferenceheld at Department of Mathematics and Humanities SVNIT, Surat during December 27-30, 2010.
Presented on “Clean rings and its Applications” in National Conference on Mathematical Modeling and Computer Simulationheld at Department of Mathematical Sciences, IIT-BHU, Varanasi during March 25-27, 2011.
Presented “On Semi-Projective Modules” in International Conference on Green Technologies for Environmental Rehabilitationheld at FET, Gurukul Kangri University, Haridwar during February 11-13, 2012.
Presented on “Some properties of Semi-Projective Modules and their Endomorphism rings” inNational Conference on Trends in Mathematical Science Researchheld at Department of Mathematics, Assam University, Silchar, Assam, during September 05-06, 2014.
Presented on “Properties of semi-Projective Modules and their Endomorphism rings” in International Conference on Algebra and its Applications held at Department of Mathematics, AMU, Aligarh during December 15-17, 2014.
Presented “Characterization of weak Rad--supplemented Modules” in International Conference on Algebra and its Applications held at Department of Mathematics, AMU, Aligarh during November12-14, 2016.
Conference/Workshop (Attended)
“Indian Mathematical Society 74th Annual Conference” held at Department of Mathematics University of Allahabad, Allahabad during Dec. 27-30, 2008.
“XXIV Annual Conference of the Mathematical Society - Banaras Hindu University” held at BHU, Varanasi during Dec. 30-31, 2008.
“Advanced Instructional School on Commutative Algebra” held at Department of Mathematics, Indian Institute of Technology Bombay during 14 may to 03 June, 2009.
“ATM Workshop on Lie Groups and Lie Algebras”held at Department of Mathematics, Harish Chandra Research Institute, Jhunsi, Allahabad, during August 22-27, 2011.
“National workshop on Cryptography and Number Theory”held at Banasthali Vidyapeeth during May 03-06, 2012.
“Workshop on Scientific Computing Theory and Practices” held atFaculty of Engineering & Technology, GKV during October 08-13, 2012.
“ATM Workshop cum Conference on Development of Mathematics in India” held at Department of Mathematics & HSS, Indian Institute of Technology Bombay during February 06-15, 2013.
“Instructional School for Lecturer on “Group Theory”held at Department of
Mathematics, University of Delhi during June 03-15, 2013.
“Advanced Instructional School on Combinatorics”held at Department of
Mathematics, Harish Chandra Research Institute, Jhunsi, Allahabad, during
April 28 - May 17, 2014.
“Instructional School for Teachers on Algebra”held at Department of
Mathematics, Malviya National Institute of Technology, Jaipur, duringDecember 07-19, 2015.
Invited Talk :
Delivered a talk entitled on “Basics of Mathematics, Application in Engineering” in the National Conference on Progress of Electronics and Applied Sciences-2013 at Faculty of Engineering and Technology, Gurukul Kangri University, Haridwar, India.
Delivered a talk entitled on “Extension of Projective Modules and their properties over arbitrary rings” in the National Conference on Recent Application of Mathematics-2015 at Deptt. of Mathematics, K. N. Govt. Art College (W), Thanjavur, India.
Abstract Accepted & Published in the Proceeding of International Conference :
International Conference on Applied Analysis and Algebraentitled on “FI – Semi Projective Modules” held during June 20-24, 2012 at Yildiz Technical University, Istanbul, Turkey.
International Conference on Algebra dedicated to 100th Anniversary of S.M. Chernikov entitled “FI - Semi Projective Modules and their Endomorphism Rings” held during August 20-26, 2012 at Dragomanov National Pedagogical University, Kyiv, Ukraine.
International Conference on Algebra in honour of Patrick Smith’s and John Clark’s, 70th Birthdays entitled “Semi Projective Modules and their Endomorphism Rings” held during August 12-15, 2013 at Balikesir – Turkey.
The 7th China-Japan-Korea International Conference on Ring Theory entitled “FI-Semi Injective Modules” held during July 01-07, 2015 at Hangzhou, China.
Membership of Academic /Professional Bodies:
Life Member in Indian Mathematical Society, India, Membership No.L/2014/133.
Life Member in Ramanujan Mathematical Society, India, Membership No.1223.
Life Member in Calcutta Mathematical Society, India, Membership No. LP/50.
Member Editorial Board:
Member of Editorial Board in the International Journal of Mathematics Research (IJMR –i-scholar),ISSN - 0976-5840, from 2012 to till now.
Member of Editorial Board in the IOSR Journal of Mathematics (IOSR-JM), ISSN - 2319–765X, from 2013 to till now.
Member of Editorial Board in the Indian Journal of Mathematics Research (IJMR-GBS), ISSN -2347-3045, from 2013 to till now.
Reviewer in The Journals:
General Mathematics Notes, since 2012.
International Research Publication Housesince 2013.
Maejo International Journal of Science and Technology(MIJST) (SCI), since 2016.