I am an interdisciplinary complex systems theorist specialising in quantitative problem solving in physics, biology and finance using techniques from statistical physics, nonlinear dynamics, including field theory and numerical computation.
In physics, my core interests are in statistical physics, dynamics of fluid flows including granular mechanics, critical phenomena and polymers. It was on these topics that I did a PhD way back in 2001 ('Turbulence in Low Dimensional Models'). My other areas of interest in traditional physics are in many body theories, focusing on coupled quantum systems (e.g. quantum dots) and aggravated flows around accretion discs.
Presently, though, I am more enamoured with stochastic disordered systems as evident in biology and finance:
In biology, my core interest areas are four fold - T/B cell immunology, atherosclerosis provoked cardio-vascular deaths (CVD), molecular motor driven cellular dynamics and population biology. Two PhD students are currently engaged in researches on the first two topics with more to join soon. On all four research areas I have vibrant international collaborations with European and transnational colleagues.
In mathematical finance, my choice areas are poverty economics, macroeconomics of capital flow and optimisation kinetics in supply chain management modelling. The former topic is presently funded by Royal Society, UK with an active network involving economists, business management specialists and computational experts linking up the others in a nationwide chain of topical research.
I have so far authored or co-authored over 35 research publications and 2 books. One of these books ('Heat and Thermodynamics') is the internationally accepted standard text or reference book on the subject. My research background
I referee more than 5 principal journals in physics and interdisciplinary science and am the chief editor of an open sourced interdisciplinary journal. I am also a panelled reviewer of EPSRC.
After obtaining a Ph. D. in statistical physics and fluid mechanics in 2001 from the Indian Association for the Cultivation of Science (registered: Jadavpur University), India, I began my postdoctoral journey at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany. I was at the MPIPKS for around two and a half years working on chosen problems in mathematical biology (molecular motors), fluid mechanics (turbulence) and condensed matter physics (superconductivity). Thereafter, supported by an Alexander von Humboldt fellowship, I moved over to the Hahn-Meitner Institute in Berlin to work in non-equilibrium statistical physics (field theoretic applications in classical critical phenomena). This position was followed by a research associateship at the Mathematics Institute, University of Warwick to mathematical model the dynamics of the T cell immunological synapse. The UK sojourn led to a Marie Curie Incoming International Fellowship to work on multiple aspects of statistical (strong coupling KPZ model) and biological physics (molecular motors, population biology) at the University of Padua, Italy. After a brief stay at the University of Edinburgh, I eventually took up a readership at the University of Delhi, India in 2007 where I moved on to a (permanent) Associate Readership. Starting February 2010, I am at Aston, in the interdisciplinary complex systems unit as a lecturer in mathematics.
My research spans a wide range of interdisciplinary topics involving mathematical biology, epidemiology, medical imaging, gene sequencing, statistical mechanics with its varied applications and fluid mechanics, including the turbulence associated with accretion discs. Positions
- Lecturer in the Mathematics of Complex Systems at Aston University, UK: February 2010 to present
- Associate Professor in Physics at the University of Delhi, India: January 2009 to January 2010
- Reader in Physics at the University of Delhi, India: September 2007 to January 2009
Presently teaching two undergraduate modules:
- Vector Algebra & Geometry and
- Financial Mathematics
and a postgraduate (MSc by Research) module:
- Stochastic and Nonlinear Dynamical Systems
I am the Programme Director of the MSc by Research in the Mathematics of Complex Systems at Aston University.
- Mathematical Biology
- Immunology - T/B cell immunological synapse & related pathways
- Cell biology (molecular motors) - Fertilisation & muscle action
- Atherosclerosis & CVD - Dynamics of Ageing
- Population biology - Diurnal variation of the Gastro-intestinal parasitic (GIP) infection
- Medical Imaging - Lung segmentation problem
- Neuroscience - Delay mechanism in axon firing
- Bioinformatics & Epidemiology
- Gene sequencing problem - Classification of similar sequences based on a new algorithm
- Biophotonics (fibre laser) - 'Order parameter' based phase transition prediction from BIG data.
- EPG Epidemiology: Modelling of gastrointestinal bacterial dynamics
- Medical imaging - Content based image retrieval, face recognition technology
- Financial Mathematics
- Developmental economics - Time evolution of the poverty/inequality index
- Macroeconomics - Effects of stochasticity in Capital Asset flow
- Supply chain management - Input/output optimisation based on industrial constraints
- Fluid Mechanics
- Turbulence - Non-Newtonian flow and intermittency exponent
- Astrophysics - Accretion flows
- Statistical Physics
- Polymers - Depolymerisation mechanism of actin & kinesin
- Spin systems- Thermal fluctuations in non-equilibrium interconnected heat baths
Presently supervising two PhD students:
- mathematical modelling of T/B cell immunology: Daniel J Bush (in his third year now)
- mathematical modelling of atherosclerosis: Xi He (in her second year now)
- Heat and Thermodynamics by Dittman, R. H., Zemansky, M. W. and Chattopadhyay A. K. (adapted) by Tata McGraw-Hill (April, 2011).
3000 Solved Problems in Physics by Halpern, A. Edited by Chattopadhyay, A. K. Published by McGraw-Hill (2010).