Dr Daniel Brinkman


  • 2013 - : Visiting Assitant Professor, Arizona State University
  • 2009 - 2013: PhD , DAMTP, University of Cambridge
  • 2005 - 2009: BS (Honors) Maths & BS Physics, University of Minnesota (TC), USA


Daniel is a member of the Applied Partial Differential Equations research group at the Department of Applied Mathematics and Theoretical Physics. He is interested in partial differential modelling for various applications, especially using reaction-diffusion systems. His PhD research has been on applications of partial differential equation systems to nanoscale physics, especially organic semiconductors and graphene:

  • Modeling, asymptotics,  and simulation of a PDE system for organic photovoltaic devices
  • Numerical simulation of the 2D Dirac equation (with applications to graphene)
  • Proving existence and uniqueness of solutions for the organic photovoltaic system

Selected Publications

  • D. Brinkman and P. J. Olver. Invariant histograms, Amer. Math. Monthly 119 (2012) 4-24
  • D. Brinkman, K. Fellner, P. A. Markowich, and M.-T. Wolfram. A drift-diffusion-reaction model for excitonic photovoltaic bilayers: Asymptotic analysis and a 2-D HDG finite-element scheme. Math. Models Methods Appl. Sci., 2013
  • D. Brinkman, C. Heitzinger, and P. A. Markowich. Convergence of a 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Submitted to J. Comp. Phys. 2012
  • D. Brinkman. Modeling and numerics for two partial differential equation systems arising from nanoscale physics. PhD Thesis, University of Cambridge, 2013
  • D. Brinkman, K. Fellner, and P.A. Markowich. Asymptotic justification of a unipolar model for a photovoltaic bilayer. In Prep.