8 papers
Farey Symbols for the Picard Group
Devendra Tiwari, Helena Verrill
We develop Picard Farey symbols for finite-index subgroups of \(G=\PSL_2(\ZZ[i])\) from the Gaussian Farey tessellation of \(\HH^3\) by ideal octahedra. The ambient geometry natura…
Modular elliptic curves and hyperbolic uniformization
Neil Dummigan, Devendra Tiwari
In an article published a few years before the modularity of elliptic curves over $\Q$ was proved, Mazur \cite{maz} looked at modularity as a purely complex analytic phenomenon, de…
Shimura curves of discriminant 14 and 15 and associated Heun Functions
Harshavardhan Reddy, Devendra Tiwari
We study the Shimura curves of discriminant for relating specific weight modular forms on these Shimura curves to the associated Heun functions for th…
Hecke Triangle Groups and Dessins d'Enfants
Devendra Tiwari
We study finite-index subgroups of the Hecke triangle group of signature through the finite-edge tessellation, special polygons, and the associated dessins. Th…
On Free Group Generated by Two Heisenberg Translations
Sagar B. Kalane, Devendra Tiwari
In this paper, we will discuss the groups generated by two Heisenberg translations of and determine when they are free. We improve a result given in \cite{xwy} by…
Discreteness Of Hyperbolic Isometries by Test Maps
Krishnendu Gongopadhyay, Abhishek Mukherjee, Devendra Tiwari
Let , or . Let denote the -dimensional -hyperbolic space. Let be the lin…
On discreteness of subgroups of quaternionic hyperbolic isometries
Krishnendu Gongopadhyay, Mukund Madhav Mishra, Devendra Tiwari
Let denote the -dimensional quaternionic hyperbolic space. The linear group acts by the isometries of . A sub…
On generalized Jørgensen inequality in
Krishnendu Gongopadhyay, Mukund Madhav Mishra, Devendra Tiwari
Wang, Jiang and Cao have obtained a generalized version of the Jørgensen inequality in Proc. Indian Acad. Sci. Math. Sci., 123(2):245--251, 2013, for two generator subgroups of ${\…