Address
Dr. Vibhuti Arora,
Department of Mathematics
National Institute of Technology Calicut
NIT Campus (P.O)-673601, Kozhikode, Kerala
Doctor of Philosophy (Mathematics) IIT Indore (2015-2020)
Master of Science (Mathematics) Banasthali University, India, 2013
Bachelor of Education (Mathematics) Banasthali University, India, 2011
Research Experience: Postdoc (Mathematics) IIT Bhubaneswar (July 2021- July 2022)
Complex Analysis (Geometric Function Theory, Quasiconformal Mapping, Harmonic Mappings)
ORCID ID: 0000-0003-2408-0765 orcid.org/0000-0003-2408-0765
Scopus ID: 57204524723 www.scopus.com/authid/detail.uri?authorId=57204524723
Google Scholar ID: 4X3qG7AAAAAJ scholar.google.com/citations?hl=en%5C&authuser=1%5C&user=4X3qG7AAAAAJ
Invited Talks
Delivered a talk "ON THE BOHR-ROGOSINSKI TYPE INEQUALITIES FOR CONCAVE UNIVALENT FUNCTIONS" in Recent Emerging Trends of Research in Mathematics on March 27-31, 2023 organised by Vellore Institute of Technology, Chennai-600127 India.
Invited talk at the "one-day international symposium on Mathematical Analysis" on Dec 22, 2021 organised by Amity University Haryana (AUH), Gurugram India.
Conferences and Workshops Attended
Mathematics for Artificial intelligence MAI2023, January 16- 20, 2023, National Institute of Technology Calicut, India
27th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, August 12 - 16, 2019, Siberian Federal University, Krasnoyarsk, Russia
Workshop on "Complex Analysis and Complex Dynamics for Teachers and Research Scholars", December 10 - 22, 2018, Indian Institute of Technology Tirupati, India.
Participated in the workshop on "Planar Harmonic Mappings and Quasi-Conformal Mappings", March 19 - 23, 2018, Central University of Rajasthan, Kishangarh, India
GIAN Course on "Quasiconformal Mappings and their Applications, December 11 - 16, 2017, Indian Institute of Technology Indore, India
Annual Foundation Schools (AFS-III), June 20 - July 16, 2016, IISER Thiruvananthapuram, India
Annual Foundation Schools (AFS-II), May 16 - June 11, 2016, Bhaskaracharya Pratishthana, Pune, India
Mini MTTS Programme, December 18 -24, 2010, Banasthali University, Rajasthan, India
Accepted
10. V. Allu, V. Arora, Second Hankel determinant of logarithmic coefficients of certain analytic functions to appear in Rocky Mountain Journal of Mathematics.
2023
9. V. Allu, V. Arora, Bohr-Rogosinski type inequalities for concave univalent functions, J. Math. Anal. Appl., 520 (2023), 126845
8. V. Allu, V. Arora, and A. Shaji, On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions, Mediterranean Journal of Mathematics, 20 (2023) 81.
2022
7. V. Arora, Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces, Complex Var Elliptic Equ., https://doi.org/10.1080/17476933.2022.2146106
6. V. Arora, Initial Successive Coefficients for Certain Classes of Univalent Functions, Lobachevskii Journal of Mathematics, 43 (2022), 2080–2091.
2021
5. V. Arora and S. K. Sahoo, Area estimates of images of disks under analytic functions, Acta Math. Sin. (Engl. Ser.), 37 (2021), 1533 - 1548.
4. V. Arora, S. K. Sahoo and S. Singh, Approximation of certain non-vanishing analytic functions in a parabolic region, Results Math., 76 (2021), Art. No: 163, 1 - 15.
2019
3. V. Arora, S. Ponnusamy, and S. K. Sahoo, Successive coefficients for spirallike and related functions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 113 (2019), 2969 - 2979.
2. S. Agrawal, V. Arora, M. R. Mohapatra, and S. K. Sahoo, Area problem for univalent functions in the unit disk with quasiconformal extension to the plane, Bull. Iranian Math. Soc, 45 (4) (2019), 1061 - 1069.
2018
1. V. Arora and S. K. Sahoo, Meromorphic functions with small Schwarzian derivative, Stud. Univ. Babeş-Bolyai Math., 63 (3) (2018), 355 - 370.
Vinayak M. (Ongoing)
Teaching
MA 6321 Complex Analysis: 2023 Winter
MA2002D Mathematics-IV: 2023 Winter
MA2001D Mathematics-III: 2022 Monsoon (Course coordinator)
MA8002 Advanced Topics in Mathematics-1: 2022 Monsoon