|INDIAN INSTITUTE OF SCIENCE EDUCATION & RESEARCH, MOHALI|
Assistant Professor (Mathematics)
Knowledge city, Sector 81, SAS Nagar,
Manauli PO 140306
Gromov initiated a study of finitely generated infinite group as geometric objects in early 1980's. Out of many different, and deep aspects of this philosophy he has written an about two hundred page note on (Gromov) hyperbolic groups. My current area of interest is in hyperbolic groups and properties of subgroups of hyperbolic groups.
My PhD thesis was on a combination theorem of hyperbolic groups where we generalize earlier work of Mladen Bestvina and Mark Feighn. Bestvina and Feighn worked with a graph of hyperbolic groups and they provide sufficient conditions under which the fundamental group of the same is hyperbolic. I have generalized this result in a joint work with Mahan Mj to a complex of hyperbolic groups in some special cases. Recently, a joint work with M. Kapovich resulted in a new and more geometric proof of the theorem of Bestvina-Feighn.
On the other hand, based on some earlier work of Mahan Mitra among others and inspired by some questions of Chris Hruska and Dani Wise I got interested in bounded packing properties of subgroups of finitely generated groups.
*Algebraic groups and Invariant theory*: Before my Ph D, I did some work on algebraic groups and invariant theory jointly with S. Kannan and S. Pattanayak.
back to faculty page