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Dr V. R. Lakshmi Gorty

Professor
PhD (Mathematics)

basant-mohanty

Specialization

  • Integral transforms and special functions

Academic Experience: (Number of Experience: = 27 years)

  • Professor (since 15 October 2016)
  • Joined as Assistant professor (1 November 2006)
  • Assistant Professor (affiliated to Mumbai University since 1995)

Non-Academic Experience: (Number of Experience: = 5 years)

  • Head of the department for Basic Sciences and Humanities and first year (all branches) B. Tech and MBA Tech for 5 years from July 2012-October 2017.
  • Member of Anti Ragging Committee.
  • Member of Woman Grievance Cell.

Number of PhD Students Guided:

  • Number of PhD Students Guided: 7

Certifications:

  • Achieved sixteen certificate courses by NPTEL/ COURSERA and UDEMY from 2020 till July 2022.

Membership:

  • Member of Indian Academy of Industrial and Applicable Mathematics, IAIAM-2001.
  • Indian Society for Technical Education, ISTE, LM-52239.
  • Indian Nuclear Society, INS, LM -6172-E-2075.
  • International association for the engineers and the computer scientists, IAENG, LM-63171.
  • Indian Mathematical Society, IMS, LM-G-11-106.
  • Indian Academy of Mathematics, IAM, LM-277.
  • Society for Special Functions and their Applications, SSFA, LM-9/2015.
  • Indian Science Congress Association, ISCA, LM-2018- L35467.

Service Activities (Within Organization):

  • Chairperson for Convocation (Discipline and member allocation).
  • Criterion responsibility NBA and NAAC.
  • Member Board of Studies.
  • Interactions with ABET Team

Service Activities (Outside Organization):

  • Subject expert/ panel memberin Mathematics for Screening-cum-Evaluation process for promotion of the faculties under Career Advancement Scheme (CAS) for Associate Professor/ Professor for colleges associated with Mumbai University/ Autonomous.
  • Guest Speaker: Introduction to SPSS; D. J. Sanghvi College of Engineering, Topic- Introduction to SPSS: Statistical Analysis, Mumbai, October 2021.
  • Speaker: Webinar in Applications of Mathematics in the real field, February 2021, Xavier Institute of Engineering, Mumbai.
  • External Referee for Viva-Voce Ph.D. open defense entitled "Pseudo-differential type operator involving several integral transforms and their applications” at Savitribai Phule Pune University, Ganeshkhind Road, Pune-411007, Pune University, March 2022.
  • Subject expert for the Research Advisory Committee, Department of Mathematics, Faculty of Science, Chhatrapati Shivaji Maharaj University, Panvel, Navi Mumbai, Maharashtra - 410206, January 2020.

Peer Reviewer:

  • European Journal of Pure and Applied Mathematics May 2021. Publisher: New York Business Global, Maryland, USA. Scopus.
  • Thai Journal of Mathematics (TJM), June 2021. Publisher: Chiang Mai University, October 2021, Global Journal of Science Frontier Research, editorial board and management team and research community. Web of Science.
  • International Journal of Nonlinear Analysis and Applications, December 2021. Publisher: Scientometric. Scopus indexed journal, Emerging Sources Citation, Zentrablatt Math etc.
  • Integral transforms and special functions, December 2021. Publisher: Taylor Francis. Scopus, Emerging Sources Citation, Zentrablatt Math etc.
  • American Journal of Mathematical Analysis, December 2021. Publisher: Science and Education Publishing Co. Ltd. Scopus
  • Asian Journal of Pure and Applied Mathematics, January 2022. Publisher: International Press of Boston, Inc.
  • Athens Journal of Education, November 2021 for 16th Annual International Conference on Mathematics: Teaching, Theory & Applications, 27-30 June 2022, Athens, Greece. Publisher: Athens Journal of Education. Scopus.

Community/Social Services:

  • Created and published Udemy course "Merge Learning: Matrices to Numerical Methods using Excel” October 2021.
  • Contribution towards the preparation of the question bank for the first phase of the AICTE Student Learning Assessment Project, ASLAP, April 2021.

Awards:

  • Received an Open Arms travel grant of 8800 BRL to attend ICM 2018, from August 1st to 9th 2018, Brazil, Rio de Janeiro, host of the International Congress of Mathematicians (ICM 2018) in the Riocentro convention center.
  • Invited for "The International Mathematical Union Committee for Women in Mathematics (CWM)" offered free registration at the World Meeting for Women in Mathematics. For the program of the first World Meeting for Women in Mathematics (WM)² on July 31, 2018 in Rio de Janeiro.
  • Accenture felicitated as a women achiever on March 8 2018 for the contributions and achievements in academic, co-curricular and other activities.
  • Best Scientist/ Researcher Award: IMRF Academic Excellence Award under the category of subject Mathematics on March 30, 2017 in support of UNESCO’s 70th, Anniversary Celebrations, at Pajifond, Margao, Goa, India.
  • Awarded Outstanding Scientist Award: in December 2015, by VIFRA 2015 at Chennai. The Award intends publicly recognize an individual's Efforts and Success. The award based on the Expert Committee report and APEX Committee recommendations.
  • Recipient of Bharat Jyoti Award: India International Friendship Society awards Certificate of Excellence on 15 April 2015 at New Delhi.

Journal Publications:

  • Khinal Parmar and V. R. Lakshmi Gorty, 2021. Quaternion Stieltjes Transform and Quaternion Laplace-Stieltjes Transform, Communications in Mathematics and Applications (CMA), indexed in Emerging Sources Citation Index (Clarivate Analytics - Thomson Reuters): Web of Science, vol. 12(3), (2021), pages 633-643. Web of Science.
  • Khinal Parmar and V. R. Lakshmi Gorty, 2021. Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform, International Journal of Analysis and Applications, vol. 19 (4) May 2021, pages 561-575. ESCI, Web of Science, Scopus
  • V. R. Lakshmi Gorty and Nitu Gupta, 2021. Bending of fully clamped orthotropic rectangular thin plates using finite continuous Ridgelet transform, Elsevier's Materials Today: Proceedings, vol. 47 (14), (2021), pp. 4199-4205. Elsevier’s Science direct.
  • V. R. Lakshmi Gorty, Nitu Gupta, 2021. Vibration of a Rectangular Plate Using Finite Continuous Radon Transform, Elsevier's Materials Today: Proceedings, vol. 46 (17), (2021), pp: 7531-7536. Elsevier’s Science direct.
  • Khinal Parmar and V. R. Lakshmi Gorty, 2021. Generalized two-dimensional quaternionic fractional Mellin transform, International Journal of Applied Mathematics and Statistics, May 2021, vol. 60, (2), pp. 59-69. Thomson Reuters, Web of Science, Emerging Sources Citation Index.
  • Khinal Parmar and V. R. Lakshmi Gorty, 2021. One-dimensional quaternion Mellin transforms and its applications, Proceedings of the Jangjeon Mathematical Society, (2021), 24 (1), pp. 99-112. Scopus.
  • V. R. Lakshmi Gorty and Nitu Gupta, 2021. On distributional finite continuous Radon transforms in certain spaces, AIMS Mathematics, May 2021, 6(1): 378-389. Scopus.
  • V. R. Lakshmi Gorty and Nitu Gupta, 2020. Finite continuous Ridgelet transforms with applications to telegraph and heat conduction, Advances in Dynamical Systems and Applications (ADSA), Print ISSN 0973-5321, Online ISSN 0974-021X. Vol. 15 (1), pp. 83-100, 2020. Scopus.
  • V. R. Lakshmi Gorty, 2019. The generalized HCT with compact support on certain range, Bulletin of Mathematical Analysis and Applications, ISSN: 1821-1291, vol.11 (4), pp: 1-11, 2019. Scopus
  • V. R. Lakshmi Gorty, 2019. Finite Generalized Hankel Transformation on Different Spaces Extended to Class of Generalized Functions, International Journal of Applied Mathematics, Vol. 49 (3), pp: 289-298, 2019. Scopus

Conference Publications:

  • Shabnam J. Ansari and V. R. Lakshmi Gorty, 2022. Two-sided Clifford wavelet function in Cl(p,q), The 7th International Arab Conference on Mathematics and Computations (IACMC2022), proceedings in Springer journal, between 11-13 May, 2022 at Zarqa University, Jordan.
  • Shilpa D'Cunha and V. R. Lakshmi Gorty, 2022. Drug level modelling with difference and differential equations, 12th International Conference on Applied Physics and Mathematics (ICAPM 2022); Singapore, February 18-20, 2022. Indexed by ISI Web of Science (Conference Proceedings Citation Index), Scopus, Ei Compendex.
  • Nitu Gupta and V. R. Lakshmi Gorty, 2020. Bending of fully clamped orthotropic rectangular thin plates using finite continuous Ridgelet transform FRESM'21, International Conference on Futuristic Research in Engineering Smart Materials, Department of Mechanical Engineering, CMRIT, Bengaluru, India & Core-Facility Centre for Photochemistry and Nanomaterials, GNU, South Korea,  April 23-24, 2021.
  • Khinal Parmar and V. R. Lakshmi Gorty, 2020. Numerical computation of finite quaternion Mellin transform using a new algorithm, ICACDS 2021 (5 th International Conference on Advances in Computing and Data Sciences): between April 23-24, 2021.
  • V. R. Lakshmi Gorty, Nitu Gupta, 2020. Vibration of a Rectangular Plate Using Finite Continuous Radon Transform, Elsevier's Materials Today: Proceedings, 3rd International Conference on Materials, Manufacturing and Modelling ICMMM-2021, 19-21, March 2021.
  • Syed Papiya and V. R. Lakshmi Gorty, 2020. Fractional Fourier transforms with the flip operator for 86th Annual Conference of the Indian Mathematical Society (IMS) - An International Meet, Vellore Institute of Technology, Vellore-632 014, Tamil Nadu, during December 17-20, 2020.
  • Collaborated with Khinal Parmar for Prize, 2020. A new two-dimensional quaternion fractional Fourier transform for 86th Annual Conference of the Indian Mathematical Society (IMS) - An International Meet to be held at the Vellore Institute of Technology, Vellore-632 014, Tamil Nadu, during December 17-20, 2020.
  • V. R. Lakshmi Gorty, 2019. Properties of Cauchy wavelet transform in tube domains, 85th Annual Conference of Indian Mathematical Society (IMS)-An International Meet, IIT Kharagpur; Nov 22 to Nov 25, 2019.

Books:

  • Authored (Collaborative with Prof. Satish Barot) book through Mobile app "SEAM Tool" for Mathematics II of SVKM's NMIMS University, MPSTME in February 2020.
  • Compiled in collaboration with IEEE X-plore digital library 2013
  • Compiled as an editor of Springer-Verlag Communications in Computer and Information Science, volume 145, TSM 2011, ISBN: 978-3-642-20209-4.
  • Author of Advanced Engineering Mathematics, Ane Books, Vol. I, ISBN- 8180522431. 2009.

Copyrights and Patents:

  • Published in Journals and conference with copyrights with publishers.

Research Collaboration and Consultancy:

  • A generalized Fractional calculus and its applications. Government of India, NATIONAL BOARD FOR HIGHER MATHEMATICS (Department of Atomic Energy). December 2013.
  • Recent advances in integral transforms to Engineering and its applications. SVKM's NMIMS University, December 2015.
  • Consultancy: Calculation of Sessile & Captive Drop-method as well as shape of pendant drops by MATLAB, 2013-14.

Mentor (Undergraduate Student Support activities/ achievements):

  •  K. S. Naik published technical paper, "Predicting credit risk for unsecured lending: a Machine learning approach”. https://arxiv.org/pdf/2110.02206.pdf, 5 Oct 2021, pages: 1-9.
  • K. S. Naik: Awarded and completed MITACS Scholarship from Government of Canada to pursue research in the field of Artificial Intelligence for 3 months May-July 2022.
  • K. S. Naik: Awarded RISE-UP research internship by IIT Jammu to pursue research for a period of 3 months May-July 2022.

Academic Profiles:


           
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