My main research interests are in the areas of nuclear and
particle physics and nuclear astrophysics. I also have an interest in
biophysics, statistical mechanics and discrete mathematics. I have done some
work in cosmology.

Presently I am writing a textbook:

Statistical
Models and Stochastic Networks in Physics, Biology and Mathematical Finance.

Specific topics of interest are as follows.

Present main research
topics

_{} Feshbach
resonances in strongly correlated fermionic systems

In particular, proton/neutron systems
with underlying isospin symmetries.

Unitary limit and studies of
limiting universal thermodynamics in these systems

_{} Applying density
functional theory to study properties of hadronic
matter at finite

temperature

_{} Symmetry potential and
the isospin structure of neutron/proton systems and
its role in

neutron stars and
nuclear astrophysics

_{} Using methods from
discrete mathematics and combinatorial analysis to develop

exactly soluble
models in statistical physics. Example-
obtaining the canonical

partition function from a recursive
combinatorial approach which showed that the

liquid/gas phase transition in a two component
nuclear system was first order

_{} Random processes, Levy
distributions and Polya theory – applications to
physics,

biology and
mathematical finance

Recent and
ongoing research

_{} Liquid-Gas phase
transition in finite two component nuclear systems - role of surface

energy, symmetry energy, Coulomb energy and
velocity dependence of the nuclear

interaction. nucleon
effective mass effects

_{} Multifragmentation
& cluster production in nuclear collisions; also its relation to

percolation theory, Ising
models and

_{} Disorder effects in a
nuclear systems

_{} Quantum critical
behavior in correlated hadronic systems

_{} Particle multiplicity
distributions in very high energy elementary particle collisions -

parallels
with Glauber’s photon count distributions. Feynman-Wilson
gas model

_{} Relativistic heavy ion
collisions –developed a statistical model

_{} Large scale structure
in cosmology- theory of voids and hierarchical structure

approaches; correlation functions

_{} Population genetics
& reformulation of physics techniques to issues related to

biophysics; stochastic abundance models

_{} Understanding power
laws, self similarity and scale invariance in the natural sciences

Power laws from a generalized hypergeometric model