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Prof. Manish Goyal

Prof. Manish Goyal

  • Professor & Associate Head
    Institute of Applied Sciences & Humanities

  • Department

    Department of Mathematics

  • Contact Details:

    Email : manish.goyal@gla.ac.in

    Contact Number :09837421186

  • Experience

    23 years

  • Qualifications

  • Ph.D

    Thesis Supervised

  • Awarded/ Completed01

    Working-

  • Postgraduate

    Thesis Supervised

  • Awarded/ Completed-

    Working-

Books

[Laxmi Publications (P) Ltd., New Delhi]

  • 01 A Text Book of Engineering Mathematics (For B.Tech. I Sem., A. K.T.U., Lucknow)
  • 02 A Text Book of Engineering Mathematics (For B.Tech. II Sem., A. K.T.U., Lucknow)
  • 03 A Text Book of Engineering Mathematics (For B.Tech. III Sem., A.K.T.U., Lucknow)
  • 04 A Text Book of Engineering Mathematics (For B.Tech. IV Sem., A.K.T.U., Lucknow)
  • 05 Computer Based Numerical & Statistical Techniques
  • 06 Comprehensive Analysis (For M. D. U. Rohtak, K. U. Kurukshetra, Himachal University)
  • 07 Guide to Analysis (For M. D. U. Rohtak, K. U. Kurukshetra, Himachal University)
  • 08 A Text Book of Engineering Mathematics (For B.Tech. I Sem., R. G. P. V., Bhopal)
  • 09 A Text Book of Engineering Mathematics (For B.Tech. II Sem., R. G. P. V., Bhopal)
  • 10 A Text Book of Engineering Mathematics (For B.Tech. III Sem., R. G. P. V., Bhopal)
  • 11 A Text Book of Engineering Mathematics (For B.Tech. I Sem., Anna University, Chennai)
  • 12 Engineering Mathematics - I (A Supplement of Q & A) (For Anna University, Chennai)
  • 13 A Text Book of Engineering Mathematics (For B.Tech. II Sem. Anna University, Chennai)
  • 14 Engineering Mathematics - II (A Supplement of Q & A) (For Anna University, Chennai)
  • 15 A Text Book of Engineering Mathematics (For B.Tech. III Sem., Anna Univ., Chennai)
  • 16 Transforms and Partial Differential Equations (For B.Tech. III Sem. Anna Univ. Chennai)
  • 17 Statistics and Numerical Methods (For B.Tech. IV Sem., Anna University, Chennai)
  • 18 A Text Book of Engineering Mathematics (For B.Tech. III Sem., P. T. U., Jalandhar)
  • 19 A Text Book of Engineering Mathematics (For B.Tech. III/IV Sem., P. T. U., Jalandhar)
  • 20 A Text Book of Engineering Mathematics (For B.Tech. III/IV/V Sem., P. T. U., Jalandhar)
  • 21 Computer Based Numerical & Statistical Techniques in Engineering (For B.Tech. IV/V Sem., P. T. U., Jalandhar)
  • 22 Computer Based Numerical & Statistical Techniques in Engineering (For B.Tech. IV/V/VI Sem., P. T. U., Jalandhar)
  • 23 A Text Book of Engineering Mathematics (For B.E. / B.Tech./ M.E. students of all Technical Universities)
  • 24 Solution Manual for A Text Book of Engineering Mathematics (For B.E. / B.Tech./M.E. students of all Technical Universities)
  • 25 Comprehensive Mathematics for N.D.A.
  • 26 Topics in Mathematics (For B.A./ B. Sc. – Sem. I, Bangalore University, Karnataka)
  • 27 Topics in Mathematics (For B.A./ B. Sc. – Sem. II, Bangalore University, Karnataka)
  • 28 Topics in Mathematics (For B.A./ B. Sc. – Sem. III, Bangalore University, Karnataka)
  • 29 Topics in Mathematics (For B.A./ B. Sc. – Sem. IV, Bangalore University, Karnataka)
  • 30 Topics in Mathematics (For B.A./ B. Sc. – Sem. V, Bangalore University, Karnataka)
  • 31 Examination Papers in Engineering Mathematics- I (For U.P.T.U. – Semester I)
  • 32 Examination Papers in Engineering Mathematics- III (For U.P.T.U. – Semester III)
  • 33 Examination Papers in Computer Based Numerical and Statistical Techniques (For U.P.T.U. – Semester III)
  • 34 Computer Oriented Numerical and Statistical Methods using C (For Ch. Devilal Univ., Hisar)
  • 35 Applied Mathematics – I (For Amity University – Semester I)
  • 36 Applied Mathematics – II (For Amity University – Semester II)
  • 37 Applied Mathematics – III (For Amity University – Semester III)
  • 38 Numerical Methods and Statistical Techniques using C
  • 39 A Text Book of Engineering Mathematics (For B.Tech. I Sem., U. K. T. U., Dehradun)
  • 40 A Text Book of Engineering Mathematics (For B.Tech. II Sem., U. K. T. U., Dehradun)
  • 41 A Text Book of Engineering Mathematics (For B.Tech. III Sem., U. K. T. U., Dehradun)
  • 42 A Text Book of Engineering Mathematics (Volume – I)
  • 43 A Text Book of Engineering Mathematics (Volume – II)

[Infinity Science Press, USA]

  • 44 Computer Based Numerical and Statistical Techniques
  • 45 A Text Book of Engineering Mathematics (For students of all Universities)

[Himani Publications, Meerut]

  • 46 Self Tutor Series (For B.Tech. I Sem., U. P. T. U., Lucknow)
  • 47 Self Tutor Series (For B.Tech. III Sem., U. P. T. U., Lucknow)

Published Papers in Journals

  • 01 “Numerical simulation of time-dependent influenza model with Atangana-Baleanu non-integer order derivative in Liouville-Caputo sense” by Amit Kumar Saraswat and Manish Goyal* in Pramana-J. Phys. (SCI) 96 (2): 104 (2022) IF 2.699, Springer, ISSN No. 0304-4289. Doi: https://doi.org/10.1007/s12043-022-02335-w.
  • 02 “An efficient hybrid computational technique for the time dependent Lane-Emden equation of arbitrary order” by Manish Goyal, A. Prakash* and D. Baleanu in Journal of Ocean Engineering and Science (SCI), 7 (2): 131-142 (2022). IF 4.803, ISSN No: 2468-0133 Doi: https://doi.org/10.1016/j.joes.2021.07.004.
  • 03 “A reliable solution of nonlinear time dependent fractional model of Ebola virus disease with arbitrary order derivative in Liouville-Caputo sense” by Vinod Kumar Bhardwaj and Manish Goyal* in Int. J. Appl. Comput. Math. (Scopus), 7 (6): 257 (2021). ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/s40819-021-01200-5.
  • 04 “A hybrid computational scheme with convergence analysis for the dependent Rosenau-Hyman equation of arbitrary order via Caputo-Fabrizio operator”, by S. Gupta, Manish Goyal*and A. Prakash in Int. J. Appl. Comput. Math. (Scopus), 7 (6): 259 (2021). ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/s40819-021-01182-4.
  • 05 “An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense”, by Manish Goyal*, A. Prakash and S. Gupta in Int. J. Appl. Comput. Math (Scopus), 7 (4): 156 (2021), ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/s40819-021-01068-5.
  • 06 “A reliable solution of arbitrary order nonlinear Hunter-Saxton Equation with time dependent derivative in Liouville-Caputo sense” by Manish Goyal* and H. M. Baskonus in Int. J. Appl. Comput. Math (Scopus) 7 (4): 125 (2021), ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/S40819-021-01065-8.
  • 07 “Investigating new positive, bounded and convergent numerical solution for the nonlinear time-dependent breast cancer dynamic competition model” by Manish Goyal*, V. K. Bhardwaj and A. Prakash in Math. Meth. Appl. Sci. 44 (6), 4636-4653 (2021) ISSN No.: 1099-1476, (SCI) IF 3.007, John Wiley & Sons Ltd. Doi: 10.1002/mma.7057
  • 08 “Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model” in Chaos Soliton. Fract., by Manish Goyal*, H. M. Baskonus and A. Prakash, Chaos Soliton. Fract. 139 (2020) 110096, (SCI) IF 9.922, ISSN No. 0960-0779. Doi: https://doi.org/10.1016/j.chaos.2020.110096
  • 09 “Numerical Treatment of Newell-Whitehead-Segel Equation”, by S. Gupta, Manish Goyal and A. Prakash*, TWMS J. App. Eng. Math. (2020) Volume 10 (2): pp. 312-320, Scopus and ESCI (WoS), ISSN No. 2146-1147.
  • 10 “A reliable hybrid numerical method for a time dependent vibration model of arbitrary order” by Amit Prakash*, Manish Goyal, H.M. Baskonus and S. Gupta, in AIMS Mathematics (2020) 5 (2): 979-1000 (SCIE) IF 2.739, AIMS Press, Doi: 10.3934/math.2020068, ISSN No. 2473-6988.
  • 11 “An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women” by Manish Goyal*, H.M. Baskonus and A. Prakash, Eur. Phys. J. Plus (2019) 134(10): 482, (SCI) I.F. 3.758, Springer, ISSN No. 2190-5444, Doi: https://doi.org/10.1140/epjp/i2019-12854-0.
  • 12 “A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace Transform”, by A. Prakash*, P. Veeresha, D. G. Prakasha and Manish Goyal, Eur. Phys. J. Plus (2019) 134 (1): 19. Doi: https://doi.org/ 10.1140/epjp/i2019-12411-y. (SCI) IF 3.758, Springer, ISSN No. 2190-5444.
  • 13 “A reliable algorithm for fractional Bloch model arising in magnetic resonance imaging”, by A. Prakash*, Manish Goyal and S. Gupta, Pramana-J. Phys. (2019) 92 (2):18 (SCIE) IF 2.699, Springer, ISSN No. 0304-4289 Doi: https://doi.org/10.1007/s12043-018-1683-1
  • 14 “Decelerating to Accelerating FRW Universe with variable G and Λ in conharmonically flat space” by Manish Goyal, R. K. Tiwari and A. Pradhan*, New Astronomy, 66 (2019) 79-87, IF 2.096, Elsevier, ISSN No. 13841076. (SCI). Doi: https://doi.org/10.1016/j.newast.2018.08.003.
  • 15 “Fractional Variation Iteration Method for solving time-fractional Newell– Whitehead- Segel Equation”, by A. Prakash*, Manish Goyal and S. Gupta, Nonlinear Engineering, 2019; 8 (1):164-171 (Scopus) ISSN no. 2192–8029, Doi: https://doi.org/10.1515/nleng-2018-0001.
  • 16 “Numerical simulation for time-fractional nonlinear coupled dynamical model of romantic and interpersonal relationships”, by Manish Goyal, A. Prakash*, S. Gupta, Pramana. (2019) 92(5):82. (SCIE) IF 2.699, Springer, ISSN No. 0304-4289 Doi: https://doi.org/10.1007/s12043-019-1746-y.
  • 17 “A new efficient technique for solving fractional coupled Navier-Stokes equations using q-homotopy analysis transform method”, by A. Prakash*, P. Veeresha, D. G. Prakasha and Manish Goyal, Pramana-J. Phys. (2019) 93 (1): 6 (SCIE) IF 2.699, Springer, ISSN No. 0304-4289. Doi: https://doi.org/10.1007/s12043-019-1763-x
  • 18 “q-homotopy analysis method for fractional Bloch model arising in nuclear magnetic resonance via the Laplace transform”, by A. Prakash*, Manish Goyal and S. Gupta, Indian J. Phys. (2020) 94 (4): 507-520, (SCIE) IF 1.778, Springer, ISSN No. 0973-1458. Doi: http://doi.org/10.1007/s12648-019-01487-7.
  • 19 “Numerical simulation of space-fractional Helmholtz equation arising in Seismic wave propagation, imaging and inversion”, by A. Prakash*, Manish Goyal and S. Gupta, Pramana-J. Phys. (2019) 93(2):28. (SCIE) IF 2.699, Springer, ISSN No. 0304-4289. Doi: https://doi.org/10.1007/s12043-019-1773-8
  • 20 “Solution of special three-dimensional inhomogeneous differential equations using Adomian Decomposition Method”, by Manish Goyal and G. D. Gupta, Acta Ciencia Indica, Vol. XXXIII M, No.4, 1569 – 1574 (2007).
  • 21 “Solution of various one dimensional wave equations using Adomian Decomposition Method”, by Manish Goyal and G. D. Gupta, Acta Ciencia Indica, Vol. XXXIVM No. 1, 383-388 (2008).
  • 22 “Solution of wave equations of two and three dimensions by Adomian Decomposition Method”, by Manish Goyal, G. D. Gupta and Hari Kishan, Acta Ciencia Indica, Vol. XXXIVM No. 1, 415-420 (2008).
  • 23 “Solution of fluid dynamics problems by Adomian Decomposition Method” by Manish Goyal, Acta Ciencia Indica, Vol. XXXIVM No. 3, 1417–1424 (2008).
  • 24 “A New Approach of Solving Tenth Order Boundary Value Problems”, by Manish Goyal, Acta Ciencia Indica, Vol. XXXIVM No. 4, 1941 – 1945 (2008)
  • 25 “Solution of Two dimensional Heat Flow equation by Adomian decomposition method”, by Manish Goyal, Acta Ciencia Indica, Vol. XXXVM No. 1, 1-4 (2009).
  • 26 “Numerical Solution of Tenth Order BVP using modified decomposition method”, by Manish Goyal, Acta Ciencia Indica, Vol. XXXVM No.1, 33-37 (2009).
  • 27 “Solution of Linear and Non – Linear Higher Order BVPs using MDM”, by Manish Goyal and U. Sharma, Acta Ciencia Indica, Vol. XXXVIM No.4, 691 – 698 (2010).
  • 28 “On Some Systems of Partial Differential Equations”, by Manish Goyal and S. Gupta, Acta Ciencia Indica, Vol. XLIII M No.2, 103 – 107 (2017).
  • 29 “Variational Iteration Method for solving Advection– Dispersion Equations” by Manish Goyal and S. Gupta, Acta Ciencia Indica, Vol. XLIII M No.3, 215 – 219 (2017).
  • 30 “Numerical analysis of fractional coronavirus model with Atangana-Baleanu derivative in Liouville-Caputo sense” by Manish Goyal*, A. K. Saraswat and A. Prakash in Indian J. Phys. (Accepted) (SCIE) IF 1.778, Springer, ISSN No. 0973-1458. Doi: 10.1007/s12648-022-02409-w.

Published Papers in Book Chapters:

  • 01 “Numerical analysis of coupled time-fractional differential equations arising in epidemiological models” by Manish Goyal, A. Prakash*, S. Gupta in a book title “Mathematical Modeling and Soft Computing in Epidemiology”, Publisher: CRC Press, Taylor & Francis Group, USA. ISBN: 978-1-003-03839-9. Page No. 173-198. Published on Dec. 29, 2020.
  • 02 “A reliable numerical approach for Liouville-Caputo time-fractional Belousov-Zhabotinsky equation arising in Chemical oscillatory reaction”, by A. Prakash*, H. Kaur, Rahul and Manish Goyal, In: S. Suhag, C. Mahanta, S. Mishra (eds.); Book Title: Control and Measurement Applications for Smart Grid, Book Subtitle: Select Proceedings of SGESC 2021. Series Title: Lecture Notes in Electrical Engineering, Vol. 822, I edition, Springer, Singapore. https://doi.org/10.1007/978-981-16-7664-2_31. PP 383-395. Published on Jan. 1, 2022. Print ISBN No.: 978-981-16-7663-5. Online ISBN No.: 978-981-16-7664-2
  • 01 Participated in TIME – 2007, a National conference on “Technology and Innovation in Mathematics Education” at IIT, Mumbai from Dec.1 to 4, 2007.
  • 02 Attended a conference on “Mathematical Sciences for Development of Science and Technology” at GLA University, Mathura from Feb. 26 to 27, 2017.
  • 03 Participated in a two weeks AICTE sponsored QIP/STC “Numerical methods in Science & Engineering” at IIT, Kanpur from July 3 to 15, 2006.
  • 04 Participated in a one week AICTE sponsored QIP/STC “Vision, Graphics and Image Processing” at IIT, Roorkee from July 6 to July 10, 2007.
  • 05 Participated in a one week TEQIP sponsored STTP “Scientific Computing and Modeling” at NIT, Warangal from May 5 to 10, 2008.
  • 06 Participated in half a week TEQIP sponsored STTP “Advances and Applications in Optimization Techniques” at NIT, Warangal from June 6 to 8, 2008.
  • 07 Participated in a one week AICTE sponsored QIP/STC “Computational Fluid Dynamics” at IIT, Roorkee from July 6 to 10, 2009.
  • 08 Participated in a one week AICTE sponsored QIP/STC “Computational Fluid Dynamics (CFD) for Engineers” at SVNIT, Surat from Feb.1 to 5, 2010.
  • 09 Participated in a one week STTP on “Recent Advances in Mathematics and its Applications to Science and Engineering” (RAMASE 2013) at VNIT, Nagpur from May 6 to May 10, 2013.
  • 10 Participated in a one week STTP (co–sponsored by TEQIP II) on “Ordinary and Partial Differential Equation: Analysis and Applications” at MANIT, Bhopal from May 27 to May 31, 2014.
  • 11 Participated in an STTP on “Advanced Computational Methods in Engineering and Science” at NITW, Telangana State from April 1 to 3, 2015.
  • 12 Participated in a one week TEQIP – II sponsored STTP on “Computational Techniques for Differential Equations” (CTDE – 2016) at SVNIT, Surat from May 2 to 6, 2016.
  • 13 Participated in a one week STC on “Current Trends in Mathematics and Applications” (STCCTMA – 2018) at NIT, Kurukshetra from Jan. 15 to 20, 2018.
  • 14 Attended a webinar on “You can become a good researcher- Fractional Calculus and Applications” organized by Sri Eshwar college of Engineering, Coimbatore on June 26, 2020.
  • 15 Attended a webinar on “Basic Author Workshop Research Article Writing & Reference Management Using Mendeley” organized by Faculty of Science, Annamalai University in collaboration with Elsevier on June 22, 2020.
  • 16 Attended a webinar on “Principles of Research Writing and Scholarly Communications” organized by Author Café in collaboration with Dean R&D, GLA University, Mathura on July 29, 2020.
  • 17 Attended a workshop on “Elliptic and Parabolic Partial Differential Equations and Related Topics: Theory and Numerical Methods” at IIT, Gandhinagar from Aug. 16 to 19, 2012.
  • 18 Attended a national workshop on “Predictive Mathematical Models in Science and Engineering” (PMMSE 2013) at NIT, Kurukshetra from May 24 to 25, 2013.
  • 19 Attended a national workshop on “Reference Management Tool using Mendeley and How to Avoid Plagiarism” at GLA University, Mathura on October 3, 2015.
  • 20 Attended a workshop on “Linear Algebra and Multivariate Calculus for Science and Engineering Teachers” at VNIT, Nagpur from Jan. 1 to 5, 2019.
  • 21 Participated in a faculty development programme ‘G.L.A. Utkarsh’ at Kosi Tourist Complex organized by G.L.A. group of institutions on Nov. 4, 2007.
  • 22 Attended the online teachers’ enrichment workshop on “Partial Differential Equations” hosted by NIT, Arunachal Pradesh during Feb. 17, 2022 to March 13, 2022 in the ATM school, under the banner of National Centre of Mathematics (a joint venture of TIFR and IIT Bombay).

Conferences/Seminars/Workshops Organized:

  • 01 Organized a two day workshop on “Fractional Calculus and Its Applications” at GLA University, Mathura from Sep. 2 to 3, 2016.
  • 02 Organized an online guest lecture on “Application of Mathematics in Current Scenario of Covid-19” by Dr. Jyoti Mishra, GGITS, Jabalpur at GLA University, Mathura on June 21, 2020 in which there were 50 participants.
  • 03 Organized an online guest lecture on “Analysis and numerical simulation of fractional-order model with Atangana-Baleanu fractional derivative” by Dr. Amit Prakash, NIT, Kurukshetra at GLA University, Mathura on June 21, 2020 in which there were 40 participants.

Conferences Chair/ Co-Chair/ Session Chair:

  • 01 Chaired a technical session on “Fractional Calculus” on April 6, 2019 in the international conference on “Gravitation, Cosmology and Mathematical Physics” organized by Mathematics and Physics Departments, IAH, GLA University, Mathura in collaboration with The Tensor Society of India, held at GLA University, Mathura from 4-7 April 2019.
  • 02 Co-Chair of the First international conference on “Recent Advances in Mathematical Sciences and Interdisciplinary Areas” (RAM SIA 2022) organized online at GLA University, Mathura from June 23 to June 25, 2022.

Invited Talks:

  • 01 Presented an online invited talk on “Application of Variational Iteration Method in Solving Some Fractional Order Nonlinear Mathematical Models” in a webinar series CONVERGENCE-2022 on “Applied Mathematics and Algorithmic Graph Theory” on May 21, 2022 held in Sastra Deemed to be University, Thanjavur, Tamil Nadu.
  • 02 Delivered a Talk on “Variational Iteration Method” on 27 Feb., 2017 in a conference on “Mathematical Sciences for Development of Science and Technology” held at G.L.A. University, Mathura from 26 - 27 Feb, 2017.
  • 03 03. Presented a lecture on “Quality Teaching” in a Teaching Pedagogy at G.L.A.I.T.M., Mathura on Sept. 29, 2008.
  • 04 04. Delivered a guest lecture on “3 - D Coordinate Geometry” in S.V.M. Chhata (Mathura) on Jan.16 & Dec. 12, 2015 and Dec. 19, 2016 as part of “School Connect” programme initiated by GLA University, Mathura.
  • 05 05. Presented a lecture on “Quality Teaching and Outcome” in an annual workshop at G.L.A.I.B.M., Mathura from Aug.17 to 18, 2007.

Reviewer of Journals:

  • 01 Computers and Mathematics with Application
  • 02 Applied Mathematics Letters
  • 03 Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
  • 04 Advances in Difference Equations
  • 05 Applied Mathematics-A Journal of Chinese Universities
  • 06 Results in Engineering
  • 07 The European Physical Journal Plus
  • 08 International Journal of Non-Linear Mechanics
  • 09 Mathematical Problems in Engineering
  • 10 International Journal of Modeling, Simulation and Scientific Computation
  • 11 Journal of Function Spaces
  • 12 Advances in Mechanical Engineering
  • 13 International Journal of Dynamics and Control
  • 14 AIMS Mathematics
  • 01 Life Member of Indian Mathematical Society (IMS) since June 2016 with a Membership number L/2016/69.

Research Interests:

  • 01 Fractional Differential Equations
  • 02 Numerical solution of differential equations

Experience:

Teaching Experience - 23 Years

  • 01 Presently Professor, Department of Mathematics, IAH, GLA University, Mathura since August 1, 2019.
  • 02 Associate Professor in the Department of Mathematics, IAH, GLA University, Mathura from Aug. 1, 2011 to July 31, 2019.
  • 03 Reader in Mathematics in the Department of Applied Sciences and Humanities at G.L.A.I.T.M., Mathura (affiliated to U. P. T. U., Lucknow) from Feb. 1, 2009 to July 31, 2011.
  • 04 Lecturer in Mathematics in the Department of Applied Sc. and Humanities at G.L.A.I.T.M., Mathura from Sept. 1999 to Jan. 2009.

Research Experience - 15 Years

Administrative Experience - 10 Years

  • 01 Associate Head, Dept. of Mathematics, IAH, GLA University, Mathura since Sept. 3, 2016.
  • 02 Programme Coordinator, Dept. of Applied Sc. and Humanities at GLAITM, Mathura from Sept. 2007 to July 31, 2011.
  • 03 Member, Academic Council of GLA University, Mathura since inception.
  • 04 Member, Library Advisory Committee, GLA University, Mathura since 2015.
  • 05 Chairperson, DRDC, Department of Mathematics, GLA University, Mathura.
  • 06 Chairperson, BoS, Department of Mathematics, GLA University, Mathura

Awards/Special Achievements

  • 01 Qualified CSIR – NET (LS) in Mathematical Sciences in June 2011 with an All Indian Rank A.I.R. –0009.
  • 02 Qualified GATE–1999 (Mathematics) with A.I.R.-0042 securing 93.68 percentile.
  • 03 Scholarship, Certificate and Medal from the hon’ble Governor, U.P. for securing 14th position in 12th (U.P. Board Exam.) in the year 1994.
  • 04 National Scholarship from class – VIII to graduate level.
  • 05 Medal and a certificate from Agrawal Sabha, Kosi Kalan for obtaining highest marks in class X (U.P. Board ) in the Mathura district.
  • 06 Medal and a certificate from Agrawal Sabha, Mathura for obtaining 14th merit position in class XII (U.P. Board) in U. P.
  • 07 Medal and a certificate from Greater Jesis Chamber, Mathura for obtaining 14th merit position in class XII (U.P. Board) in U. P.
  • 08 “Bhartendu Harischand Award” by the Agrawal Sabha, KosiKalan on Oct. 18, 2015.
  • 09 “Yuva Pratibha” by Gramin Patrakar Association of Mathura on March 21, 2005

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