Dr. Vinit Kumar Chaubey

Designation: Associate Professor

Department: Mathematics

Qualifications:

  • M.Sc. (Mathematics), D.D.U. Gorakhpur University, Gorakhpur, Uttar Pradesh, India.
  • M.C.A., Indira Gandhi National Open University, New Delhi
  • Ph.D. (Mathematics), D.D.U. Gorakhpur University, Gorakhpur, Uttar Pradesh, India.

Postdoctoral Experience:

  • Worked as Postdoctoral Fellow of National Board for Higher Mathematics (NBHM) from 1stMay 2010 to 30thApril 2013 in the Department of Mathematics & Statistics, D.D.U. Gorakhpur University, Gorakhpur, India

Current Status:

Associate Professor, Department of Mathematics, NEHU, Shillong.

Teaching/Research Experience:

  • Teaching: 13 years
  • Research: 13 years

Administrative Experience:

  1. Working as Member of Management committee of Computer Centre, North eastern Hill University, Shillong from 30/7/2024 to till date.
  2. Working as Member of Intellectual Property Right (IPR) Cell, North eastern Hill University, Shillong from 8/3/2024 to till date.
  3. Working as Member of the Board of studies of Physics, North eastern Hill University, Shillong from 8/1/2024 to till date.
  4. Worked as NTA Observer/CBSE Observer/Observer in various competitive examinations and Dr. A. P. J. Abdul Kalam Technical University, Lucknow, U.P. semester examinations since 2015 to 2023.
  5. Worked as Registrar of Buddha Institute of Technology, GIDA, Gorakhpur since 01 April 2021 to 15 August 2021.
  6. Worked as HOD of Department of Applied Sciences and Humanities, Buddha Institute of Technology, GIDA, Gorakhpur since 6 July 2020 to 31 March 2021.
  7. Worked as Centre Superintendent in CTET-DEC. 2018 examination at Buddha Institute of Technology, GIDA, Gorakhpur which conducted by CBSE, New Delhi.
  8. Worked as Deputy/Assistant Centre Superintendent in various competitive and Dr. A.P.J. Abdul Kalam Technical University, Lucknow, U.P. semester examinations since 2011 to 2019.
  9. Worked as a Proctor in Buddha Institute of Technology, GIDA, Gorakhpur since July 2015 to September 2018.
  10. Worked as Organizer in a Workshop on “Human Values and Professional Ethics” organized in Buddha Institute of Technology, Gorakhpur with Collaboration of Dr. A. P. J. Abdul Kalam Technical University, Lucknow during 17-24 June 2017.

Ph. D. Thesis Title:

Differential Geometry of Finsler Space of Special Metric

Current Area of Work:

  • Differential Geometry
  • Finsler Geometry and its Applications
  • >Tensor Analysis
  • Partial Differential Equations
  • Theory of Relativity
  • Manifold

M.Sc. Students Guided: 03 (Completed)

Ph. D. Students Registered /Guided:

  • Ms Rupashree Das (Registered)

Reviewer

  • Worked as a active reviewer in Zentralblatt Math Germany & various Journals of Elsevier and Springer publications.

Foreign Collaboration/ Visit

  • Participation and oral research paper presentation in “VI International conference on Finsler Extension to Relativity Theory” organized by Research Institute of Hypercomplex Systems in Geometry & Physics, Moscow-Fryazino, RUSSIA, during Nov. 01 – 07, 2010.

Professional Affiliation:

  • Lifetime Membership of Indian Mathematical Society (L/2020/1)
  • Lifetime Membership of Forum for Industrial and Applied Mathematics (FIAM/170)
  • Lifetime Membership of Mahamana Innovative Technologies Welfare Society (ID No. 255)

Web Address:

Publications

  • Brijesh Kumar Tripathi, Dhruvisha Patel and V. K. Chaubey, Projectively flat cubic (α, β)-Metric with constant flag curvature K=0, Surveys in Mathematics and its Applications, 19, (2024), 167-178, MR4739096, Zbl 07890973, (ISSN: P 1843-7265, O 1842-6298), (SCOPUS Journal), (UGC Care List).
  • V. K. Chaubey and Brijesh Kumar Tripathi, Finslerian Hypersurfaces of a Finsler Space with deformed Randers (α, β)-Metric, Novi Sad J. Math., 53 (2), (2023), 185-195 (ISSN: P 1450-5444, O 2406-2014), Zbl 07867782, (Impact Factor 0.5), (SCIE Journal), (SCOPUS Journal), (UGC Care List) DOI: https://doi.org/10.30755/NSJOM.13130.
  • Arun Kumar Pandey and V. K. Chaubey, Mathematical Model for Bingham Flow Properties of Blood in uniform tapered Tube, Journal of Hyperstructures, 12(2), (2023), 375-386, (ISSN: P 2322-1666, O 2251-8436), (UGC Care List).
  • Brijesh Kumar Tripathi, Sadika Khan and V. K. Chaubey, On Projectively flat Finsler space with a cubic (α, β)-Metric, FILOMAT, 37 (no. 26), (2023), 8795-8982, DOI: https://doi.org/10.2298/FIL2326975T, MR4626820 (ISSN 2406-0933), (SCIE Journal), (Impact Factor 0.988), (SCOPUS Journal), (UGC Care List).  
  • Brijesh Kumar Tripathi, S. B. Chandak and V. K. Chaubey, Lagrange spaces with changed Z. Shen square metric, Siberian Electronic Mathematical Reports, 20(1), (2023), 17-24, (ISSN 1813-3304), DOI: 10.33048/semi.2023.20.002, MR4544772 (SCOPUS Journal), (Impact Factor 0.4), (ESCI Journal) (UGC Care List).
  • Brijesh Kumar Tripathi and V. K. Chaubey, Deformed Infinite series metric in Cartan Spaces, Palestine Journal of Mathematics, 11(3), (2022), 194-204, (ISSN: 2219-5688), MR4447043, Zbl 07589559, (SCOPUS Journal), (UGC Care List).
  • Brijesh Kumar Tripathi and V. K. Chaubey, Nonholonomic frames for Finsler space with deformed infinite series of  (α, β)-metric, Journal of Hyperstructures, 11(1), (2022), 157-165, (ISSN: P 2322-1666, O 2251-8436), Zbl 07610249 , (UGC Care List).
  • Brijesh Kumar Tripathi and V. K. Chaubey, Finslerian Hypersurfaces of a Finsler Space with Special (α, β)-Metric, Italian Journal of Pure and Applied Mathematics, 47, (2022), 1136-1147, (ISSN: 2239-0227), (ESCI Journal), (Impact Factor 0.2), (SCOPUS Journal), (UGC Care List).
  • Brijesh Kumar Tripathi and V. K. Chaubey, Nonholonomic frames for Finsler space with infinite series of (α, β)-Metric, Annals of the University of Craiova, Mathematics and Computer Science Series, 47(2),(2020), 308-313 (ISSN P: 1223-6934, O: 2246-9958),  MR4252017, Zbl 07376230 (ESCI Journal), (SCOPUS Journal), (UGC Care List).
  • V. K. Chaubey and Brijesh Kumar Tripathi, Hypersurfaces of a Finsler Space with deformed Berwald-Matsumoto Metric, Bulletin of the Transilvania University of Brasov, 11(60), no. 1, (2018), 37-48. (ISSN 2065-2151), MR3832643, Zbl 07140645, (UGC Care List), (SCOPUS Journal).
  • Brijesh Kumar Tripathi and V. K. Chaubey, Nonholonomic frames for Finsler spaces with special (α, β)-metric, J. Math. Comput. Sci., 8(2), (2018), 290-296, (ISSN: 1927-5307), DOI:https://doi.org/10.28919/jmcs/3584, (UGC Care List).
  • V. K. Chaubey and Arunima Mishra, Hypersurface of Finsler spaces with (α, β)-Metric, Journal of Contemporary Mathematical Analysis, 52(1), (2017), 1-7, (ISSN O: 1934-9416, P: 1068-3623) DOI: https://doi.org/10.3103/S1068362317010010, Impact Factor 0.232 (SCIE Journal),MR3674959, Zbl 06718333 (UGC Care List).
  • Brijesh Kumar Tripathi and V. K. Chaubey, Nonholonomic frames for Finsler space with deformed Matsumoto metric, TWMS J. App. & Eng. Math., 7(2), (2017), 337-342, (ISSN 2146-1147), (ESCI Journal),MR3741912, Zbl 06870442, (UGC Care List).
  • Brijesh Kumar Tripathi, V. K. Chaubey and R. B. Tiwari, Nonholonomic frames for Finsler space with generalized Kropina metric, International Journal of Pure and Applied Mathematics, 108(4), (2016), 921-928, (ISSN O: 1314-3395, P: 1311-8080), DOI: http://dx.doi.org/10.12732/ijpam.v108i4.17, Impact Factor 0.635, (UGC Care List), (SCOPUS Journal).
  • H. S. Shukla, V. K. Chaubey and Arunima Mishra, Some Intrinsic properties of h-Randers conformal change, Bull. Cal. Math. Soc., 108 (2), (2016), 123-134, (ISSN 0008-0659), Zbl 06665071MR3524946, (UGC Care List).
  • V. K. Chaubey and B.K. Tripathi, Finslerian hypersurface and Finsler spaces with (γ, β)-Metric, Journal of Dynamical Systems in Geometric Theories, 12(1), (2014), 19-27, (ISSN 1726-037X), DOI:http://dx.doi.org/10.1080/1726037X.2014.917829, (ESCI Journal), MR3230110, Zbl 1312.53038, (UGC Care List).
  • V. K. Chaubey, Arunima Mishra and U. P. Singh, Equation Geodesic In A Two-Dimensional Finsler Space With Special( )-Metric, Bulletin of the Transilvania University of Brasov, 7(56), 1, (2014), 1-12. (ISSN 2065-2151) MR3234139, >Zbl pre06384489, (UGC Care List), (SCOPUS Journal).
  • H. S. Shukla, V. K. Chaubey and Arunima Mishra, Finslerian hypersurface and Randers conformal change of a Finsler metric, International Journal of Pure and Applied Mathematics, 87(5), (2013), 699-706, (ISSN O: 1314-3395, P: 1311-8080) DOI: http://dx.doi.org/10.12732/ijpam.v87i5.3, Impact factor-0.372, (UGC Care List), (SCOPUS Journal).
  • V. K. Chaubey, D. D. Tripathi and B. N. Prasad, Equation of geodesic for a (α, β)-Metric in a Two dimensional Finsler spaces, J. Math. Comput. Sci., 3 no. 3,(2013),  863-872, (ISSN: 1927-5307),  (UGC Care List).
  • V. K. Chaubey and Pradeep Kumar, Hypersurface of projective Randers conformal change, J. Nat. Acad. Math., 27 (2013), 63-71. (ISSN 0970-5228), (Peer Reviewed).
  • T. N. Pandey, V. K. Chaubey and Sanjay K. Tripathi, On Kropina change of two-dimensional Finsler spaces, International Journal of Pure and Applied Mathematics, 82(4), (2013), 595-603, (ISSN O: 1314-3395, P: 1311-8080) DOI: http://dx.doi.org/10.12732/ijpam.v82i4.8, >Zbl 1264.53028, Impact factor-0.254, (UGC Care List), (SCOPUS Journal).
  • T. N. Pandey and V. K. Chaubey, On Finsler space with (γ, β)-metric: geodesic, connection and scalar curvature, Tensor, N. S., 74(2), (2013), 126-134, (ISSN 0040-3504), Impact Factor 0.273,  MR3328361, Zbl 1317.53030 (Peer Reviewed).
  • H. S. Shukla, V. K. Chaubey and Arunima Mishra, On Finsler space with h-Randers conformal change, Tensor, N. S., 74(2), (2013), 135-144, (ISSN 0040-3504) Impact Factor 0.273, MR3328362, Zbl 1317.53031 (Peer Reviewed).
  • V. K. Chaubey and Rakesh Kumar Dwivedi, On four dimensional semi-C-reducible Landsberg space, International Mathematical Forum, 8, (2013), no. 4, 191 - 200,  (ISSN O: 1314-7536, P:1312-7594), MR3000871, Zblpre06268501, DOI: http://dx.doi.org/10.12988/imf.2013.13019, Impact factor-0.323 (Peer Reviewed).
  • T. N. Pandey and V. K. Chaubey, Main scalar of two dimensional Finsler spaces with (γ, β)- Metric, J. Rajasthan Acad. Phy. Sci., 11(1), (2012), 53-62, (ISSN 0972-6306) MR2962322.
  • T. N. Pandey, V. K. Chaubeyand Arunima Mishra, On generalized Cv-reducible Finsler spaces, International Journal of Pure and Applied Mathematics, 80(4), (2012), 467-476 (ISSN O: 1314-3395, P: 1311-8080) Impact factor: 0.254, Zbl 1260.53053, (UGC Care List), (SCOPUS Journal).
  • T. N. Pandey, V. K. Chaubey and Arunima Mishra, On Finsler spaces with unified Main Scalar (LC) is of the form f(y) + g(x), International J. Mathematical Combinatorics, 1, (2012), 41-46,  (ISSN 1937-1055), DOI:https://doi.org/10.5281/zenodo.814487, Zbl 06186418, Impact Factor 1.235,.
  • T. N. Pandey and V. K. Chaubey, Lagrange spaces with β-change, Int. J. Contemp. Math. Sciences, 7, (2012), no. 48, 2363 - 2371, (ISSN O: 1314-7544, P: 1312-7586) MR2999360, >Zbl 1276.53025, (Peer Reviewed), Impact factor-0.265.
  • T. N. Pandey, V. K. Chaubey and D. D. Tripathi, Three Dimensional Conformally Flat Finsler space, International Journal of Pure and Applied Mathematics, 76(1), (2012), 107-112, (ISSN O: 1314-3395, P: 1311-8080) Impact factor: 0.254, Zbl 1252.53033, (UGC Care List), (SCOPUS Journal).
  • T. N. Pandey and V. K. Chaubey, Theory of Finsler spaces with (γ, β)- Metric, Bulletin of the Transilvania University of Brasov, 4(53), No. 2,(2011), 43-56. (ISSN 2065-2151) MR2926618,Zbl 06238633, (UGC Care List), (SCOPUS Journal).
  • T. N. Pandey, V. K. Chaubey and Sanjay K. Tripathi, On Four-Dimensional Ch Reducile Finsler spaces, J. Rajasthan Acad. Phy. Sci., 10(3), (2011), 199-208, (ISSN 0972-6306) MR2884369,Zbl 1230.53022.
  • T. N. Pandey and V. K. Chaubey, The variational problem in Lagrange spaces endowed with (γ, β)- Metric, International Journal of Pure and Applied Mathematics, 71(4), (2011), 633-638 (ISSN O: 1314-3395, P: 1311-8080), Impact-factor: 0.254MR2884507, Zbl 1236.53022, (UGC Care List), (SCOPUS Journal).
  • T. N. Pandey, V. K. Chaubey and D. D. Tripathi, Randers change of Two-dimensional Finsler spaces, Investigations in Mathematical Sciences, 1, (2011), 61-70, (ISSN No. 2250-1436) Zbl 1269.53025 (Peer reviewed).
  • T. N. Pandey, V. K. Chaubey and Sanjay K. Tripathi, Landsberg and Berwald spaces of dimensions two with generalized (α, β)-Metric, International Journal of Pure and Applied Mathematics, 70(5), (2011),691-699 (ISSN O: 1314-3395, P: 1311-8080), Impact factor: 0.254, (UGC Care List), (SCOPUS Journal).
  • T. N. Pandey, V. K. Chaubey and D. D. Tripathi, β-change of two-dimensional Finsler spaces and geodesic, J. Rajasthan Acad. Phy. Sci., 9(3), (2010), 239-247, (ISSN 0972-6306) MR2759833,Zbl 1226.53017.
  • T. N. Pandey, B. N. Prasad and V. K. Chaubey, Main scalar of two dimensional Finsler spaces with generalized (α, β)-Metric, Bull. Pure App. Math., 4(2) (2010), 168-177(ISSN 0973-5933) MR2848864, Zbl 1223.53018 (Peer reviewed).
  • T. N. Pandey, B. N. Prasad and V. K. Chaubey, Scalar curvature of two-dimensional Finsler spaces with (α, β)-Metric, Ganita, 60 (2009), 9-14,(ISSN 0046-5402)MR2655960, Zbl 06293629, (UGC Care List).
  • T. N. Pandey, B. N. Prasad and V. K. Chaubey, On three-dimensional Finsler spaces with (α, β)-Metric, Alligarh Bulletin of Mathematics, 28 (2009), 51-55, (ISSN 0304-9787)MR2769014, Zbl 1350.53031 (Peer reviewed).
  • S. B. Pandey, V. K. Chaubey and Sanjay K. Tripathi, Berwald connection and geodesic of a Finsler space with generalized (α, β)-Metric, J. Rajasthan Acad. Phy. Sci., 8(1), (2009), 39-48, (ISSN 0972-6306) MR2528424, Zbl 1171.53338.
  • T. N. Pandey, B. N. Prasad and V. K. Chaubey, Three-Dimensional Finsler spaces with mth root metric, Journal of International Academy of Physical Sciences, 12 (2008), 139-150, (ISSN 0974-9373) MR2589051, Zbl 1208.53029, (Peer reviewed).
  • T. N. Pandey, B. N. Prasad and V. K. Chaubey, Scalar curvature of two-dimensional cubic Finsler spaces, Journal of International Academy of Physical Sciences, 12 (2008), 127-137, (ISSN 0974-9373) MR2589050, Zbl 1208.53028 (Peer reviewed).
  • T. N. Pandey and V. K. Chaubey, On Finsler spaces with Quartic metric, Journal of Tensor Society, 2(2008), 37-47, (ISSN 0974-5428) MR2518884, Zbl 1197.53024 (Peer reviewed)

Seminar/Conference (Presented):

  • April 5-6, 2019: Participation and oral presentation in “Recent Advances in Mathematics and Scientific Computing (RAMSC-19)” sponsored by TEQIP-III and organized by Department of Applied Sciences, MMM University of Technology, Gorakhpur, UP, INDIA.
  • Nov. 09-11, 2013: Participation and oral presentation in an International conference on Differential Geometry and Relativity (ICDGR-2013) organized by The Tensor Society and Department of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur (U.P.), India.
  • Feb. 23-24, 2013: Participation and oral presentation in International conference on “Technological Innovations through Modern Engineering Sciences” (TIMES-2013), Organized by Department of Applied Science, Institute of Engineering & Technology & IET group, Alwar (Rajasthan), India.
  • Jan 22–25, 2013: Participation and oral presentation in “78th Annual conference of the INDIAN MATHEMATICAL SOCIETY” organized by Department of Mathematics & DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi (U.P.), INDIA.
  • Dec. 17-21, 2012: Participation and oral presentation in “The 12th International Conference of Tensor Society (Japan) on Differential Geometry and its Applications and Informatics Besides” organized by Department of Pure Mathematics, University of Calcutta, Kolkata, West Bengal, India.
  • March 12–13, 2012: Participation and oral presentation in “National Conference on Recent Trends in Mathematics & Statistics” organized by Department of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, INDIA.
  • Oct. 08–09, 2011: Participation and oral presentation in 4th Annual Conference of The Tensor Society on “Application of Tensors and Differential Geometry in Engineering and Physical Sciences” organized by SRMGPC, Lucknow, INDIA.
  • June24–25, 2011: Participation and oral presentation in “National Conference on Recent Trends in Pure & Applied Mathematics” organized by Department of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, INDIA.
  • Nov. 01–07, 2010: Participation and oral presentation in “VI International conference on Finsler Extension to Relativity Theory” organized by Research Institute of Hypercomplex Systems in Geometry & Physics, Moscow-Fryazino, RUSSIA.
  • July 24–25, 2010: Participation and oral presentation in “National Conference on Recent Trends in Pure & Applied Mathematics” organized by Department of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, INDIA.
  • Oct.02–03, 2009 : Participation and oral presentation in “National Conference of The Tensor Society on Development of Differential Geometry” organized by Swargashram, Rishikesh (U.K.),INDIA.
  • July 11–12, 2009: Participation and oral presentation in “National Conference on Recent Trends in Pure & Applied Mathematics” organized by Department of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, INDIA.
  • Dec.24-25, 2008: Participation and oral presentation in “National Symposium on Modern Trends in Differential Geometry and Mathematical Modelling in Bio-Sciences” organized by Department of Mathematics, Lucknow University, Lucknow, INDIA.
  • Dec.22-23, 2008: Participation and oral presentation in “National conference of Bharata Ganita Parsied” organized by Department of Mathematics, Lucknow University,Lucknow, INDIA.
  • Jul. 05-06, 2008: Participation and oral presentation in “Conference of The Tensor Society” organized by Sri. Ram Shrwoop Merom. College of Eng. And Mag., Lucknow, INDIA.
  • March 09, 2008: Participation and oral presentation in “National conference of Bharata Ganita, Parsied” organized by Department of Mathematics, Lucknow University, Lucknow, INDIA.
  • Jan. 12-14, 2008: Participation and oral presentation in “Xth conference of International Academy of Physical Sciences” organized by G. G. D. University, Bilaspur, C. G., INDIA.

Workshop Attended

  1. Nov 06 – 16, 2023: Participation in online workshop on “NEP 2020 Orientation & Sensitization Programme” under Malaviya Misson Teacher Training Programme (MM-TTP) of University Grant Commission (UGC) organized by Malaviya Misson Teacher Training Centre, North Eastern Hill University, Shillong, Meghalaya, India.
  2. Sep 06- 10, 2021: Participation in online workshop on “Inculcating Universial Human values in Technical Education” organized by All India Council for Technical Education (AICTE), India.
  3. May02 – 11, 2011: Participation in a “Workshop on Differential Geometry” organized by DST Centre for Interdisciplinary Mathematical Sciences (CIMS), Banaras Hindu University(BHU), Varanasi, INDIA.

FDP Course completed

  • Completed a NPTEL-AICTE online Faculty Development Program (Roll No. NPTEL23MA23S44570292) on “Partial Differential Equations (PDE) for Engineers: Solution by Separation of Variables” of 4 weeks (Jan-Feb 2023) conducted by Indian Institute of Technology, Kharaghpur and funded by the MoE, Govt. of India.
  • Completed online Faculty Development Program (F.No AICTE/FDP-SI/Online-Workshop/217/89558) on “Inculcating Universial Human values in Technical Education” of 5 days duration (6 Sep. to 10 Sep. 2021) organized by All India Council for Technical Education (AICTE), India.
  • Completed online Faculty Development Program (Ref. No. RECM/APSH/IESD2020/010) on “Institutional Enrichment vis-à-vis skill Development” of 5 days duration (24 Nov. to 28 Nov. 2020) sponsored by Dr. A.P.J. Abdul Kalam Technical University, Lucknow organized by Department of Applied Sciences and Humanities, Rajkiya Engineering College, Mainpuri, U.P., India.
  • Completed online Faculty Development Program (Reg. No. FDP/ASH/IU20/046) on “Applicability of Mathematical Sciences in Emerging world” of one week duration (28 July 2020 to 02 Aug. 2020) conducted by Department of Applied Sciences and Humanities, Faculty of Science, Invertis University, Bareilly, U.P. in association with The National Academy of Sciences, International Academy of Physical Sciences and Mathematical Sciences Institute.
  • Completed a NPTEL online Faculty Development Program (Roll No. NPTEL20MA14S21470092) on “Mathematical Methods and its Applications” of 12 weeks (Jan-Apr 2020) conducted by Indian Institute of Technology, Roorkee and funded by Ministry of HRD, Govt. of India.