I am an ‘interdisciplinary Complex Systems’ theorist specialising in quantitative problem solving in physics, biology and finance, using techniques from statistical physics, nonlinear dynamics and numerical computation. My research novelty lies in combining three diverse research strands - quantitative biology, mathematical finance and soft matter physics - all driven by the central focus of stochastic and probabilistic mathematics.
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 multiple international collaborations with European and transnational colleagues.
- In mathematical finance, my research has three dimensions - 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 40 research publications and 2 books. One of these books ('Heat and Thermodynamics') is the internationally accepted standard text on the subject.
I referee more than 6 principal journals in physics (e.g. Physical Review, Europhysics Letters, PlosOne, Journal of Theoretical Biology) and interdisciplinary science (e.g. International Journal of Energy Sector Management) and am the chief editor of an open sourced interdisciplinary journal. I am also a panelled reviewer of EPSRC.
My research background
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.
- Senior Lecturer in the Mathematics of Complex Systems at Aston University, UK: July 2015 to present
- Lecturer in the Mathematics of Complex Systems at Aston University, UK: Feb 2010 to July 2015
- Associate Professor in Physics at the University of Delhi, India: Jan 2009 to Jan 2010
- Reader in Physics at the University of Delhi, India: Nov 2007 to Jan 2009
Presently teaching two undergraduate modules:
- Vector Algebra & Geometry (First year) and
- Financial Mathematics (Final year)
- (Previously) Portfolio Analysis (Final year)
and formerly a postgraduate (MSc by Research) module:
- (Previously) Stochastic and Nonlinear Dynamical Systems
- I was the former Programme Director of the MSc by Research in the Mathematics of Complex Systems at Aston University until 2014.
- I am the (Mathematics) group representative at the Aston Research Strategy Committee, a technical advisory committee that is responsible for planning future research directions at Aston University
Summary of my research areas:
1. Quantitative Biology
- Immunology - T/B cell immunological synapse & related pathways
- Atherosclerosis & CVD - Dynamics of Ageing
- Population biology - Diurnal variation of the Gastro-intestinal parasitic (GIP) infection
- Bioinformatics: Gene sequencing problem - Classification of similar sequences
- Biophotonics (fibre laser) - 'Order parameter' based phase transition prediction from BIG data.
2. Mathematical Finance
- Developmental economics - Time evolution of the povertyinequality index
- Supply chain management - Input/output optimisation based on industrial constraints
3. Soft Matter Physics
- Fluid Mechanics: Turbulence - Non-Newtonian flow and intermittency exponent
- Astrophysics: Magnetohydrodynamic Turbulence - Accretion flows
- Stochastically forced liquid crystal dynamics - Renormalization group analyzes of cholesteric & ferroelectric liquid crystals
- Material Science - Crack propagation in soft nanocomposite materials
- DEFENSSE (CoI) - Differential Equations for the Evolution of Nonlinear Systems of Interest in Socio-Economic Sciences; with Marie-Letizia Bertotti (PI) and Giovanni Modanese (CoI); 2015
- UKIERI (CoI) - Municipal Solid Waste to Energy: Decision Support System for Supply Chain Design and Operation; 2013-2016
- UKIERI (CoI) - Climate Change Issues and Environmental Performance of Small Medium Sized Enterprises in the UK and India; 2012-2015
- Aston-EAS (PI) - Wave Turbulence in Optical Fibre Lasers: New Categorisation of Emergent Phenomena based on Statistical Physics; 2013-2015
- Royal Society Research Grant - Probabilistic Predictions of the Effects of Life Style Factors on a Time Evolving Poverty Index: A Statistical Mechanics Based Study of Income Distribution Data; 2013-2014
- Marie Curie IIF - Dynamical Aspects of Cytoskeletal Motility and Associated Studies in Critical Phenomena; 2006-2007
- Alexander von Humboldt Fellowship - Growth Dynamics in the Strong Coupling Limit; 2003-2004
- First PhD student successfully obtained his degree in 2015 (Immunological Synapse: A Mathematical Formulation of the Bond Formation Process)
- 2nd student - Mathematical modelling of atherosclerosis: Xi He (in her third 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).
Papers in the Pipeline (submitted or shortly to be so)
- Laminar-Turbulent Transition in Raman Fiber Lasers: A First Passage Statistics Based Analysis by Amit K Chattopadhyay, Diar Nasiev, Srikantha Sugavanam, Nikita Tarasov and Dmitry Churkin
- Noise Induced Standing Waves in Oscillatory Systems with Time-delayed Feedback by Michael Stich and Amit K Chattopadhyay
- A Nonlinear Elastic Model of a Ferroelectric Liquid Crystal: A Renormalization Group Analysis
by Amit K Chattopadhyay and Prabir K Mukherjee
- Asymptotic Analysis of the Immunological Synapse Temoporal Dynamics by Daniel R. Bush and Amit K Chattopadhyay
- Gradient Nanomechanics under Stochastic Forcing: Diffusion in Nanocrystals by Amit K Chattopadhyay and Elias C. Aifantis
- Cardiovascular Death Rate Forecasting: Data mining of Statistical Data by Shahzad Mumtaz, Xi He, Amit K Chattopadhyay and Srikanth Bellary