I have recently completed my Ph.D. thesis on
``Duality tranformation of non-Abelian gauge theories", under the guidance
of Prof. H.S.Sharatchandra. As the name suggests, I have been mainly
engaged in trying to do duality transformation for Yang-Mills theories.
If you want to know more about it, you can have a look at my papers.
Duality
transformation for 3+1 dimensional Yang-Mills theory
General Solution of
the non-abelian Gauss law and non-abelian analogs of the Hodge
decomposition
Gauge field copies
There exists a very nice analogy between Yang-Mills theory and gravity in
3 dimensions which can be used to perform duality transformation. This is
reported in
Dual gluons and monopoles in 2+1 dimensional Yang-Mills theory.
Among my other research interests are Coherent states for the hydrogen atom. I am also interested in applying algebraic geometry to gauge theories.
Currently I am working on simulation of dynamical fermions in QCD. We are trying to simulate 2 quark flavours.