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.
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.
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.
Presently teaching two undergraduate modules:
and formerly a postgraduate (MSc by Research) module:
Summary of my research areas:
1. Quantitative Biology
2. Mathematical Finance
3. Soft Matter Physics