Dr. Green is currently an Assistant Professor of Applied Mathematics in the Department of Mathematics, Statistics & Physics at Wichita State University. He graduated with a PhD from Imperial College London (London, UK) under the supervision of Prof. Darren Crowdy, and subsequently held postdoctoral appointments at the University of California San Diego (La Jolla CA, USA) and the Queensland University of Technology (Brisbane, Australia). Before moving to Wichita State University, he was a Lecturer in Applied Mathematics at Macquarie University (Sydney, Australia), where he was also an ARC DECRA Fellow.

Dr. Green is an applied and computational complex analyst. His main research focus is the development of new constructive techniques in complex analysis for solving problems in multiply connected domains (i.e. domains with more than one boundary component). He is also interested in ideal fluid mechanics in multiply connected domains. Dr. Green employs a classical special function -- known as the Schottky-Klein prime function -- little used by mathematicians until relatively recently, but now increasingly recognized as the natural object to consider when solving problems in geometrically complicated domains. It also has a particularly rich function theory, which allows many elegant solutions to these problems to be constructed. 


  • C. J. Lustri, C. C. Green & S. W. McCue (2019)
    Selection of a Hele-Shaw bubble via exponential asymptotics.
    SIAM Journal of Applied Mathematics.
  • M. M. S. Nasser & C. C. Green (2018)
    A fast numerical method for ideal fluid flow in domains with multiple stirrers.
  • C. C. Green, C. J. Lustri & S. W. McCue (2017)
    The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell.
    Proceedings of the Royal Society A.
  • D. G. Crowdy, E. H. Kropf, C. C. Green, & M. M. S. Nasser (2016)
    The Schottky-Klein prime function: a theoretical and computational tool for applications.
    IMA Journal of Applied Mathematics.
  • C. C. Green (2015)
    Analytical solutions for two hollow vortex configurations in an infinite channel.
    European Journal of Mechanics B/Fluids.
  • C. C. Green & G. L. Vasconcelos (2014)
    Multiple steadily translating bubbles in a Hele-Shaw channel.
    Proceedings of the Royal Society A.
  • C. C. Green & J. S. Marshall (2013)
    Green's function for the Laplace-Beltrami operator on a toroidal surface.
    Proceedings of the Royal Society A.
  • D. G. Crowdy & C. C. Green (2012)
    Analytical solutions for von Karman streets of hollow vortices.
    Physics of Fluids.
  • D. G. Crowdy, A. S. Fokas & C. C. Green (2011)
    Conformal mappings to multiply connected polycircular arc domains.
    Computational Methods and Function Theory.
  • Australian Research Council Discovery Early Career Researcher Award, 2018-2020
    Principal investigator:  Dr Christopher Green.  Co-investigators:  n/a. Value:  374,200 AUD.
  • Macquarie University Research Seeding (MQRS) Grant, 2018-2019
    Principal investigators: Dr Christopher Green, Dr Christopher Lustri (Macquarie University). 
    Value:  41,818 AUD.
  • Qatar University Grant, 2016
    Co-investigator:  Prof Mohamed Nasser (Qatar University, Doha, Qatar). Value:  49,350 QAR
  • National Science Foundation (NSF) Grant, 2016-2018
    Co-investigators:  Prof Stefan Llewellyn-Smith (University of California San Diego, La Jolla CA, 
    USA), Prof Bernard Deconinck (University of Washington, Seattle WA, USA).
    Value:  229,500 USD.
Areas of Service
  • Establishing an industrial math clinic (with Prof. Thomas DeLillo).