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: