|INDIAN INSTITUTE OF SCIENCE EDUCATION & RESEARCH, MOHALI|
Associate Professor (Mathematics)
Knowledge city, Sector 81, SAS Nagar,
Manauli PO 140306
My research has been centered around the hyperbolic spaces and their isometries. We have obtained algebraic classifications of the isometries of the real, complex and quaternionic hyperbolic spaces, for eg. see . We have also classiﬁed real or reversible isometries of the real and complex hyperbolic spaces, for eg. see . We recall that an element in a group is called reversible if it is conjugate to its inverse. We asked the group theoretic question to classify conjugacy classes of centralizers or thez-classes in the isometry groups of the hyperbolic spaces. We have answerd this question in a series of papers, eg. see . Currently, I am interested in understanding representations of surface groups in the isometry groups and also, many of the other directions related to the geometric structures modelled on the hyperbolic spaces.
In geometric group theory, we have studied palindromes and palindromic automorphisms of groups. An element in a group G is a palindrome if it reads same forward and backward. The palindromic width isthesupremumofallpalindromicwordlengthsina