Dr. V.R. Lakshmi Gorty

• Nitu Gupta: Completed Ph.D. on 5th April 2022.
• Khinal Kamlesh Parmar: Completed Ph.D. on 6th May 2022.
• Yashonanda Maurya: Integral transforms (2020 RRC (Topic approval))
• Shabnam Ansari: Integral transforms (2020 RRC (Topic approval))
• Shilpa D’Cunha: Integral transforms (2020 RRC (Topic approval))
• Pratibha Sharma: Integral Transforms (2024 RRC (Topic approval)

Awards:

• Received an Open Arms travel grant to attend ICM 2018, August 1st to 9th 2018, Brazil, Rio de Janeiro, from the host of the International Congress of Mathematicians (ICM 2018), 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 2018, Rio de Janeiro.
• Accenture felicitated as a women achiever, March 2018 for the contributions and achievements in academic, curricular and other activities.
• NMIMS has appreciated the achievements and motivated with incentives encouraging for future research contributions April 2016-April 2017.
• Best Scientist/ Researcher Award: IMRF Academic Excellence Award under the category of subject Mathematics on March 2017 in support of UNESCO 70^thAnniversary Celebrations, at Panjifond, Margao, Goa, India.
• Awarded Outstanding Scientist Award: in December 2015, VIFRA 2015 Chennai.
• Recipient of Bharat Jyoti Award: Certificate of Excellence, awarded by India International Friendship Society April 2015, New Delhi.

Seminars and workshops:

More than 30 organized/ attended Workshops/Seminars/Webinars (International/National)

Professional Memberships:

IAIAM 2001, ISTE LM-52239, INS LM -6172-E-2075, IAENG LM-63171, IMS LM-G-11-106, IAM LM-277, LM-9/2015, ISCA LM-2018-L35467.

FDP-Faculty development Program attended: NPTEL/Coursera/ Udemy courses etc. (2023-24)

Completed 3, in-process 4.

FDP-Faculty development Program created and published: NPTEL/ Coursera/ Udemy courses etc.

Merge Learning: Matrices to Numerical Methods using Excel, Published October 2021.

Research funding and achievements:

• 1. A generalized Fractional calculus and its applications. Government of India, NBHM (Department of Atomic Energy).  Dec 2013-2016.
  2. 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.

Publications:

Journals (2023-24)

• Khinal Parmar and V. R. Lakshmi Gorty, 2024, Quaternion Hankel Transform and its generalization, vol. 21 (1) January (2024), pp. 67-81, Sahand Communications in Mathematical Analysis, Sahand Commun. Math. Anal.
• R. Lakshmi Gorty and Khinal Parmar, 2022. Two dimensional quaternionic fractional Mellin transform of a particular order, Jordan J. Math & Stat., 16 (4) (2023), pp. 649 – 668.
• Nitu Gupta and V. R. Lakshmi Gorty, 2023. Analysis of generalized finite continuous ridgelet transforms with simply supported rectangular kirchhoff plates, vol.30 (2), pages: 117 – 134. Advances in Differential Equations and Control Processes.

Conferences (2023-24):

• R. Lakshmi Gorty, 2023. Inversion theorem of finite generalized Hankel-Clifford transform solving distributional differential equations, AMSCO2K23 (Eighth Online International Conference on Ancient Mathematics and Science for Computing), December 22-23, 2023.
• Yashonanda Maurya and V. R. Lakshmi Gorty, 2023. Finite Meijer G-transform for solving steady-state temperature problems, 38th Annual Conference of Ramanujan Mathematical Society,  IIT Guwahati, December 22-24, 2023.
• Pratibha Sharma and V. R. Lakshmi Gorty, 2023. Perspective of Quaternion Algebra in Quantum Mechanics: Quaternion inverse Gaussian Distribution, International Conference on Applied Mathematics and Mechanics (ICAMM-2023) at IIT Indore, India, October 18-20, 2023.
• Shabnam Ansari and V. R. Lakshmi Gorty, 2023. Clifford wavelet function and Mellin transform in Clifford algebra Cl(3,1) with interpretation in quantum mechanics, International Conference on Applied Mathematics and Mechanics (ICAMM-2023) at IIT Indore, India, October 18-20, 2023.
• R. Lakshmi Gorty, Shilpa D’Cunha, 2023. Analysis of ADM solution for non-commensurate model in anomalous drug diffusion, 4^thInternational Conference on Materials, Manufacturing and Modelling (ICMMM2023) during 24th -26th March 2023, (Elsevier – Materials Today: Proceedings) VIT, Vellore.
• R. Lakshmi Gorty, Suhani Gandhi, Prajakta Mungekar, Nikita Melam, Dev Mahey, 2023. Image Encryption and Decryption using Conformal Mapping, 4^thInternational Conference on Materials, Manufacturing and Modelling (ICMMM2023) during 24th -26th March 2023, (Elsevier – Materials Today: Proceedings) VIT, Vellore.

Books/chapters Published:

• Nitu Gupta and V. R. Lakshmi Gorty 2022. Generalized Finite Continuous Ridgelet Transform; Algebra, Analysis and associated topics, Springer, Trends in Mathematics,  Published: 20 September 2022, Publisher Name: Birkhäuser Cham, Print ISBN: 978-3-031-19081-0, Online ISBN: 978-3-031-19082-7.
• Khinal Parmar and V. R. Lakshmi Gorty 2021: Numerical Computation of Finite Quaternion Mellin Transform Using a New Algorithm; Communications in Computer and Information Science, 24 October 2021.
• Authored (Collaborative with Prof. Satish Barot) book through Mobile app “SEAM Tool” for Mathematics II of SVKM’s NMIMS University, MPSTME in February 2020.
• R. Lakshmi Gorty, Continuous Hankel-Clifford Wavelet Transformation, Research India Publications, Advanced Mathematics: Theory and Applications, Chapter 16, pp. 175-187, Published in January 2017.
• 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.
• Advanced Engineering Mathematics, Ane Books, Vol. I, ISBN- 8180522431. 2009.