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Dr Amit K Chattopadhyay

Reader in Mathematics 

Senior Fellow of the Higher Education Academy UK (SFHEA)

Fellow of the Institute of Mathematics UK (FIMA)

Phone number: +44 (0)121 204 3500
Email: a.k.chattopadhyay@aston.ac.uk
Room number: MB 313L

Mathematics
Su

Profile

I am an interdisciplinary Complex Systems’ theorist specialising in quantitative problem solving in biology/bioinformatics and econometrics, using techniques from statistical physics, nonlinear dynamics and numerical computation. My research novelty lies in combining four diverse research strands - quantitative biology, mathematical finance, soft matter science and materials' modelling - 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. My background in mathematical physics enables me to dally with methodologies from many body theory, SOC systems and Dynamical systems, a targeted combination of which I have used in studying coupled quantum systems (e.g. quantum dots) and aggravated flows around accretion discs.

My target research regimen over the next 10 years will be principally focused on Quantitative Biology and Econometrics:

1. Quantitative Biology
a) Bioinformatics: Analysing functionality from sequence analysis
b) Immunology: T/B cell immunulogical synapse & related chemical pathways
c) Atherosclerosis & CHD - Dynamics of ageing
d) Population biology - SIRV modelling and diurnal variation of Gastro-intestinal infection

Four PhD students are currently engaged in antimicrobial/antiriviral drug modelling, under thematic 1a and 1d. Thematic 1b and 1c saw recent PhD completions.
2. Econometrics
a) Developmental economics - Inequality index/Poverty index prediction in developing and welfare societies
b) Stochastic supply chain modelling - I/O optimisation in supply chains where all variables are potentially uncertain, i.e. stochastic.
Two project students from ENSIIE (Paris) and a starting Commonwealth PhD student are (or will soon be) working on Thematic 2a and 2c respectively.

My research remit, though, extends beyond the key targets identified above. The theoretical techniques used and novel applications implemented in these are addressed under a scheme of two further research designations:

3. Soft Matter Physics

a) Liquid Crystal - Dynamical phase transition in magnetically perturbed LCs
b) Fluid Mechanics - Shearing flows in accretion discs and columnar instability

A PhD student is now in his final year working on columnar instability in accretion flows.
4. Materials' Modelling
a) Nancocomposite modelling - Crack propagation and shearing instability
b) Photonics - Optical fiber laser propagation in constrained boundaries

A PhD student is presently working on novel fast algorithm development for solving nonlinear Schroedinger equation

I have so far authored or co-authored over 72 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.

I am an Editorial Board member of the Nature Publishing group; independently, I am also an Editorial member of staff in the Frontiers in Physics group.

I have been recently awarded the highly prestigious FIMA (Fellow of the Institute of Mathematics) and SFHEA (Senior Fellow of the Higher Education Authority) fellowships.

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.

  • Reader in Mathematics at Aston University, UK: August 2017 to present
  • Senior Lecturer in the Mathematics of Complex Systems at Aston University, UK: August 2015 to July 2017
  • 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 (First year) and
  • Financial Mathematics (Final year)
Previous teaching experiences:
  • Portfolio Analysis (Final year), UG, Aston University
  • Stochastic and Nonlinear Dynamical Systems, PG, University of Delhi
  • Mathematical Biology, UG, University of Warwick

Won 3 student nominated teaching awards in Aston Mathematics

 

Outreach leader from Mathematics - organising outreach events for high performing A level students; employability event leader connecting mathematics education with industry

Previously:
  • Programme Director of MSc by Research in Mathematics, Aston University
  • Mathematics Representative at the Research Strategy Committee, Aston University

Summary of my research areas:

1. Quantitative Biology

  • Bioinformatics: 1) Protein sequencing & 2) Antimicrobial algorithming
  • Immunology - T/B cell immunological synapse & related pathways
  • Atherosclerosis & CVD - Dynamics of Ageing 
  • Population biology - Diurnal variation of the Gastro-intestinal parasitic (GIP) infection

2. Mathematical Finance 

  • Developmental economics - Time evolution of the poverty/inequality 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 - Renormalisation group analyses of cholesteric & ferroelectric liquid crystals
4. Material Science
  • Crack propagation in nanocomposite and nanocrystalline materials
  • Photonics (Optical fibre laser) - 'Order parameter' based phase transition prediction from BIG data.

 

  • ERDF (Collaborator) - Priority Axis 4: Support the Shift Towards a Low Carbon Economy, reference OC12R16P0367; ca £1.2 million
  • MSCA-RISE-H2020 (CoI) - Fracture Across Scales and Materials, Processes and Disciplines; starting 2017; ca 0.9 millioin euro, Aston share 76,500 euro
  • Vietnam International Fellowship, HRD (PI) - Antimicrobial Drug Repurposing Using Clinical Data – Acquisition, Analysis & Modelling; co-supervision with Dr Darren Flower; PhD student - Nhat Phuong Do; £116,200
  • KREBS FOUNDATION SHOLARSHIP (PI) - Systems Modelling of Peptide Presentation in Immunology & Homeostasis; co-supervision with Dr Darren Flower; PhD student - Ewa Grela; £55k
  • 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
1 PhD student qualified; 6 ongoing
  • First PhD student (Daniel Bush) successfully obtained his degree in 2015 (Immunological Synapse: A Mathematical Formulation of the Bond Formation Process)
  • RECENT Second PhD student Xi He successfully obtained her degree in June 2018 (Impact of Life Style Factors on Atherosclerosis: A Modelling Based Study)
  • Anastasiia Vasylchenkova started on 30th January, 2017; she is working on Nonlinear Fourier Transforms in Optical Communications; position partially sponsored by EPSRC; co-supervisor - Prof Sergei Turitsyn
  • Nhat Phuong Do started on 23rd January, 2017; he is working on Antimicrobial Drug Repurposing Using Clinical Data – Acquisition, Analysis & Modelling; position fully funded by Vietnamese HRD scholarship; co-supervisor - Dr Darren Flower
  • Ewa Grela started on 3rd October, 2016; she is working on Systems Modelling of Peptide Presentation in Immunology & Homeostasis; position funded by Krebs Foundation scholarship; co-supervisor - Dr Darren Flower
  • Aonat Raji started on 1st January, 2018; she is working on Drug repurposing versus antimicrobial resistance: A computational approach; co-supervisor - Dr Darren Flower
  • Monsuru Taiye Mustapha started on 12th January, 2018; he is working on Repurposing and virtual screening of protein drugs - Data modelling to statistical learning; co-supervisor - Dr Darren Flower

 


 Upcoming Papers (recently accepted/submitted/almost accepted)

  1. "Role of external and internal perturbations on ferromagnetic phase transitions in manganites: Existence of tricritical points" by P. K. Mukherjee, P. Sarkar and AKC; to appear in the Journal of Physics: Condensed Matter.
  2. "Standing waves in oscillatory systems with time delayed feedback: Ornstein-Uhlenbeck forcing" by M. Stich and AKC; in the European Physical Journal B.
  3. "Study of direct nonlinear Fourier transform algorithms for the computation of solitonic spectrum in a model of nonlinear Schr\"{o}dinger equation" by A. Vasylchenkova, J. E. Prilepsky D. Shepelsky and AKC; in the Communications in Nonlinear Science and Numerical Simulation.
  4. "Economic inequality and mobility for stochastic models with multiplicative noise" by M. L. Bertotti, AKC and G. Modanese.
  5. "Inequality dynamics: A multivariate paradigm" by I. Rice and AKC.