
Research Activities 

In keeping with its goal to provide a platform for multifarious
research in Mathematics, the Foundation has undertaken the following
research activities: 

Enumeration of Types of Finite Groups and Associated
Topics: This is a research project in pure mathematics.
A basic question one can ask about finite groups is this: how
many groups are there up to an isomorphism of a given order?
We have been looking at questions relating to the enumeration
of finite soluble groups with abelian Sylow subgroups. It has
led to interesting work and collaboration with several mathematicians.
A monograph (written jointly by Geetha Venkataraman, Peter Neumann
and Simon Blackburn) is to be published shortly by the Oxford
University Press. 

Linear Mappings Associated with Banach Spaces of Functions: This research project deals with the investigation of properties
of certain bounded linear transformations on a class of Banach
and Hilbert spaces of analytical functions. Amongst the spaces
that are looked at are the BMOA and VMOA, Hardy spaces, De Branges
spaces and other related spaces. Several related research papers
have taken off from this project in some very important areas.
It has led to a series of collaborative efforts between Mathematicians
at the Foundation and in the USA. 

