Dr. Navneet Lal Sharma

Dr. Navneet Lal Sharma holds the position of Assistant Professor in the Department of Mathematics at Gati Shakti University Vadodara (formerly National Rail and Transport Institute), Gujarat India from August 2022. The Ministry of Railways, Government of India, established the GSV, the country’s first institution dedicated to the study of transportation. Prior to joining GSV, he worked as Assistant Professor in the Department of Mathematics at Amity University Haryana, Gurgaon, India. He completed post-doctoral research at Indian Statistical Institute Chennai Centre, IIT Madras and IIT Kharagpur. He did his Ph.D. in Mathematics from Indian Institute of Technology Indore. He has been awarded several fellowships such as: SIRE; Universiti Sans Malaysia PDF; serb-npdf; ISI Chennai PDF and NBHM PhD Fellowship. His research area is Complex Analysis: Geometric Function Theory. He is currently working on a DST sponsored project- Core Research Grant (Title: A Study on Problems and Conjectures in Univalent Function Theory). For contact- Email Id: nlsharma@gsv.ac.in

Education

PhD in Mathematics, Indian Institute of Technology Indore, India in 2016.
Masters of Science in Mathematics, S. D. College, Muzaffarnagar, Uttar Pradesh (C. C. S. University, Meerut) in 2008.
Bachelor of Science, B. S. A. College, Mathura, Uttar Pradesh (Dr. B. R. A. University, Agra) in 2006.

Experience

Assistant Professor, Department of Mathematics, Gati Shakti Vishwavidyalaya Vadodara Gujarat . A Central University under the Ministry of Railways, Government of India. Since Aug 02, 2022.
Assistant Professor, ASAS, Department of Mathematics, Amity University Haryana, Gurgaon. India. From Jan 15, 2019 to July 29, 2022.
Lecturer, Department of Mathematics, Sri Ram College of Engineering, Muzaffarnagar, Uttar Pradesh, Duration: Aug 9 to Dec 28, 2010 .
Lecturer, Department of Mathematics, ACME College of Engineering, Muradnagar, Ghaziabad (NCR), Duration: Mar-July 2010.
Visiting Scientist School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia, Duration: Sept 01, 2022 to Feb 28, 2023..
Post-Doc Fellow, Under ISI fellowship at ISI Chennai Centre, Duration: Jan 25 to July 2016 .
Post-Doctoral Fellow, Under SERB National PDF fellowship at Indian Statistical Institute (ISI) Chennai Centre and IIT Madras, Chennai, Tamil Nadu. India, Duration: Aug 01, 2016- Jul 31, 2018.
Supervisor Prof. S. Ponnusamy, Department Mathematics, IIT Madras, Chennai, India
Research Associate, Department of Mathematics, IIT Kharagpur- 721302. West Bengal. India, Duration: Aug 09, 2018 to Nov 05, 2018.
Supervisor Dr. Bappaditya Bhowmik, Department of Mathematics, IIT Kharagpur
Research Visits.
University Sains Malaysia, Penang, Malaysia from Sept-2012 to Feb 2023
Indian Statistical Institute, Chennai Centre, India from Jun-Jul 2013
Indian Statistical Institute, Chennai Centre, India for Month of February 2015

Professional Distinctions

SERB International Research Experience (SIRE) Fellowship for the year 2022–2023 supported by SERB, DST, Gov of India on May 12, 2022
SERB Core Research Grant by SERB DST, Gov of India on Dec. 14, 2021.
University Sains Malaysia Post-Doctoral Fellowship award on Sept. 06, 2018.
SERB National Post-Doc Fellowship award on July 26, 2016.
ISI Chennai Post-Doc Fellowship award from January 25 to July 31, 2016
National Board for Higher Mathematics, Department of Atomic Energy, India, PhD Fellowship award on April 29, 2010.
Awarded the travel grant by ICTP Italy (organizer) and SERB, DST Gov. of India to attend the School and Workshop on Complex analysis, Geometric and Dynamics at ICTP, Trieste, Italy, Sep-Oct 2015
Awarded travel grant with registration fees by IIT Indore and NBHM for presenting a paper in the International Symposium on GFTA-2015, Macedonia in August 2015
Refereed Research Articles for Journals
Mathematical Reviews/MathSciNet Reviewer Number: 130001 and Zb Math
Rocky Mountain J. Math.
Bulletin of the Malaysian Mathematical Sciences Society
Boletín de la Sociedad Matemática Mexicana
Revista de la Real Academia de Ciencias Exactas, Físicasy Naturales. Serie A. Matemáticas { Journal of Applied Mathematics and Informatic, Korea
Mathematics and Statistics (Horizon Research Publishing, USA)
Editorial Board Member: Advances in Pure Mathematics (Scientific Research Publishing)

Key Publications

Vasudevarao Allu and Navneet Lal Sharma , On logarithmic coefficients for classes of analytic functions associated with convex functions, Bulletin des sciences mathématiques. Accepted. Jan 05, 2024.
N. L. Sharma, On integral means for starlike and spiral-like functions, The Journal of Analysis. Pages 1-10. April 2023. DOI: 10.1007/s41478-023-00575-6.
S. Ponnusamy, N. L. Sharma, and K.-J. Wirths, Logarithmic coefficient problems in families related to starlike and convex functions, J. Aust. Math. Soc., 109(2),230–249, 2020. DOI: 10.1017/S1446788719000065 .
S. Ponnusamy, N. L. Sharma, and K.-J. Wirths, Logarithmic coefficient of the inverse of univalent functions. Results in Mathematics, 73, (2018). DOI: 10.1007/s00025-018-0921-7
N. L. Sharma, A note on coefficient estimates for some classes of p-valent functions, Ukrainian Math. J., 70(4), 549–563, 2018
N. L. Sharma, Integral means and Maximum area integral problems for p-valent analytic functions, J. Korean Math. Soc., 54(6), 1641-1665, 2017.DOI: 10.4134/JKMS.j160282
S. K. Sahoo and N. L. Sharma, A note on a class of p-valent starlike functions of order beta, Siberian Math. J., 57 (2), 364–368, 2016.DOI: 10.17377/smzh.2016.57.218.
S. Ponnusamy, S. K. Sahoo, and N. L. Sharma, Maximal area integral problem for certain class of univalent analytic functions, Mediterr. J. Math., 13, 607–623, 2016. DOI: 10.1007/s00009-015-0521-7 1660-5446/16/020607-17
S. K. Sahoo and N. L. Sharma, On a generalization of close-to-convex functions, Ann. Polon. Math., 113 (1), 93–108, 2015. DOI: 10.4064/ap113-1-6 .
S. K. Sahoo and N. L. Sharma, Duality techniques on a class of functions defined by convolution with Gaussian hypergeometric functions, J. Analysis, 22, 145-155, 2014.
S. K. Sahoo and N. L. Sharma, On maximal area integral problem for analytic functions in the starlike family, J. Classical Analysis, 6 (1), 73-84, 2015. DOI: 10.7153/jca-06-06 .

Research Area(s)

Complex Analysis- Geometric Function Theory: Univalent Function Theory, Special Functions, q-theory.
To study analytic and geometric properties for the class of univalent function and for its geometric subclasses as starlike, convex, close-to-convex and spiral-like functions, etc.
To study the logarithmic coefficients and area integral problems.
To find the connection between q-theory and geometric function theory. My interest is to look for its applications and to deal with problems in several other situations.

Key Research Projects

Awarded SERB International Research Experience (SIRE) Fellowship for the year 2022–2023 supported by the Science and Engineering Research Board (SERB), DST Gov. of India on May 12, 2022
Supervisor : Dr. See Keong Lee at School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia
Project Title : Certain Conjectures and Problems in Geometric Function Theory
Duration : Six Months: Sept 01, 2022 to Feb 28, 2023
(i) Monthly Fellowship equivalent to USD 3000 per month (ii) Airfare Ticket, Contingency grant and Medical Insurance Grant
Research Project :Awarded a Project "Core Research Grant" by SERB DST, Gov of India on Dec. 14, 2021. Cost= 21 Lakh Approx. Duration Three Years (Started: March 21, 2022) Title A study on the problems and conjectures in univalent function theory