Area of Research: Combinatorial and Geometric Group Theory
Research Interests: Whitehead automorphism of free group, growth and cogrowth, Schreier graphs, zeta functions of Schreier graphs
Publications:
Refereed Journals
The cogrowth inequality from Whiteheads algorithm, arXiv (Accepted for publication at journal of Groups, Geometry and Dynamics)
(with Rostislav Grigorchuk, Jean-Francois Quint) Multivariate growth and cogrowth, Carpathian Math. Publ., 17(1), 82-109, 2025
(with Arman Darbiyan and Rostislav Grigorchuk) Finitely generated subgroups of free group as formal langueges and their cogrowth, journal of Groups, Complexity, Cryptology, 13(2), 1-30, 2021
(with Daniele D'Angeli, Hemant Bhate and Dilip Sheth) Galois coverings in Schreier graphs of self-similar groups generated by bounded automata, arXiv. (communicated)
(with Hemant Bhate) Zeta functions of finite Schreier graphs & their zig-zag products, Journal of Algebra and its Applications, 16(8), 1750151, 2017
Non refereed Journals
Schreier graphs of Fabrykowski-Gupta group Podar Prabodhan, 4, 2016, 128-134.
Thesis and Dissertation :
Galois coverings of Schreier graphs, Savitribai Phule Pune University, Ph.D. Thesis, 2018.
Group theoretical analysis of vibrational spectrum of Buckyball, Savitribai Phule Pune University, M. Phil. Dissertation, 2013.
Oberseminar on Groups and Geometry, Bielefeld University, Bielefeld, Germany, 2025
Seminar Talk, Geometry and Groups Seminar, Heidelberg University, Heidelberg, Germany, 2025
Invited Talk, RAPCCE, Mumbai, India, 2022
Refresher Course Talk, Savitribai Phule Pune University (SPPU), Pune, India, 2021
Contributed Talk, SP College Pune (Online), India, 2020
Invited Talk, Bluefield State College, Bluefield, WV, USA, 2020
Invited Talk, TK Tope College, Mumbai, India, 2019
Contributed Talk, Workshop on Trees, Dynamics, and Locally Compact Groups, Heinrich Heine University (HHU), Düsseldorf, Germany, June 25–29, 2018
Symposium Talk, International Conference, SPPU, Pune, India, December 19–22, 2017
Symposium Talk, TIMC-AMS International Conference, Banaras Hindu University (BHU), Varanasi, India, December 13–17, 2016
Poster Presentation, Discussion Meeting on Group Theory, TIFR-ICTS, Bengaluru, India, November 11–14, 2016
Lecture Series on Representation Theory of Finite Groups, School of Mathematical Sciences, SRTM Nanded University, India, February 2016
Guest Lecture on Group and Ring Theory, NET/SET Preparation Workshop, S. P. College, Pune, India, March 2010
Convened and organized Mathematrix (an interactive Mathematics Exhibition and competition) annually from 2013 to 2019.
Associate Member, The Indian Mathematics Consortium, since July 2016.
Member, Organizing Committee, State-Level Workshop on Applications of Mathematics and Statistics in Industry, July 2011.
In Charge, Remedial and Intensive Coaching Cell for slow learners at R A Podar College.
Conducted IQAC workshops for college teachers on the effective use of Google Apps in academics.
Delivered lectures in various colleges to promote and popularize mathematics.
Other Useful Links: ArXiv, MathSciNet, MTTS, ATM Schools