Research

Area of Research: Combinatorial Group Theory

Research Interests: Whitehead automorphism of free group, growth and cogrowth, Schreier graphs, zeta functions of Schreier graphs

Publications:

Refereed Journals

(with Rostislav Grigorchuk, Jean-Francois Quint) Multivariate growth and cogrowth, preprint
(with Arman Darbiyan and Rostislav Grigorchuk) Finitely generated subgroups of free group as formal langueges and their cogrowth, journal of Groups, Complexity, Cryptology, Volume 13, Issue 2, 2021, pp. 1:1–1:30
(with Daniele D'Angeli, Hemant Bhate and Dilip Sheth) Galois coverings in Schreier graphs of self-similar groups generated by bounded automata, preprint. (communicated)
(with Hemant Bhate) Zeta functions of finite Schreier graphs & their zig-zag products, Journal of Algebra and its Applications Volume 16, Issue 08 (August 2017), 1750151 [28 pages] doi: 10.1142/S0219498817501511 (arXiv version)

Non refereed Journals

Thesis and Dissertation :

Galois coverings of Schreier graphs, Savitribai Phule Pune University, Ph.D. Thesis, 2017.
Group theoretical analysis of vibrational spectrum of Buckyball, Savitribai Phule Pune University, M. Phil. Dissertation, 2012.

Talk and Presentations:

Contributed Talk, Workshop on trees, dynamics and locally compact groups, HHU, Dusseldorf, Germany, June 25-29, 2018.
Symposium Talk, International Conference, SPPU, Pune, December 19-22, 2017.
Symposium Talk, TIMC-AMS International Conference, BHU, Varanasi, December 13-17, 2016.
Poster, Discussion Meeting on Group Theory, TIFR-ICTS, Banglore, November 11-14, 2016.
Lecture series on Representation theory of finite groups at School of Mathematical Sciences, SRTM Nanded University, February 2016.
Guest Lecture on Group and ring theory, NET/SET Preparation Workshop at S. P. College, Pune, March 2010.

Other academic work:

Member, Organizing Committee, State level workshop on Applications of Mathematics and Statistics in Industry, July 2011.
Associate Member, The Indian Mathematics Consortium, Since July 2016.
Convener, Mathematrix (An interactive Mathematics Exhibition and many more competitions) 2013, 2014, 2015, 2016, 2017, 2018, 2019.
In charge, Remedial and intensive coaching cell for slow learners at R A Podar College.
Conducted IQAC workshops on use of Google apps in academics for teachers in colleges.
Delivered lectures in colleges to popularize mathematics.