This volume contains the proceedings of the International Conference on Geometry, Groups and Mathematical Philosophy, held in honor of Ravindra S. Kulkarni's 80th birthday. Talks at the conference touched all the areas that intrigued Ravi Kulkarni over the years. Accordingly, the conference was divided into three parts: differential geometry, symmetries arising in geometric and general mathematics, mathematical philosophy and Indian mathematics. The volume also includes an expanded version of Kulkarni's lecture and a brief autobiography.
Articles
Ravindra S. Kulkarni, My pursuit of truth through mathematics
Ravindra S. Kulkarni, Philosophy of mathematics - four issues
Ara Basmajian and Robert Suzzi Valli, Counting cusp excursions of reciprocal
geodesics
W. Barrera, A. Cano, J. P. Navarrete and J. Seade, Elementary groups in
$\operatorname {PSL}(3,\mathbb {C})$
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang and Shing-Tung Yau, Quasilocal mass
and angular momentum
S. G. Dani, Geodesics on the modular surface and continued fraction
expansions of their endpoints
Allan L. Edmonds, Finite group actions on 1-complexes and homology
William M. Goldman, Affine structures on surfaces and the twisted cubic cone
Kriti Goel, Vivek Mukundan, Sudeshna Roy and J. K. Verma, Computing mixed
multiplicities, mixed volumes and sectional Milnor numbers
Parul Gupta, Yashpreet Kaur and Anupam Singh, Differential central simple
algebras
Vikas S. Jadhav, $z$-Classes and rational conjugacy classes
A. D. Mednykh, I. A. Mednykh and I. N. Yudin, On Jacobian group and
complexity of the $\Delta $-graph
Rohit Parikh, Groups, communication and coordination
Nitin Nitsure, Curvature and torsion via quadrilateral gaps
Soham Swadhin Pradhan, Schur index and extensions of Witt-Berman's theorems
M. A. Sofi, Nonlinear retracts and the geometry of Banach spaces
Jagmohan Tanti, Computations for invariant bilinear forms under an invertible
linear transformation: an expository article
Bankteshwar Tiwari, A comparative overview of Riemannian and Finsler
geometry
Devendra Tiwari and Harshavardhan Reddy, Revisiting Kulkarni's topological
proof of Millington's theorem
Mukut Mani Tripathi, Kulkarni-Nomizu tensor fields
Krishnendu Gongopadhyay, Indian Institute of Science Education and Research Mohali, S. A. S. Nagar, India.
Shashikant A. Katre, Savitribai Phule Pune University and Bhaskaracharya Pratishthana, India.
