My current research project is focused on numerical methods for Mean Field Games.

My general interests include numerical analysis, PDEs, optimal control theory, and differential games.


  • Cartee, E., & Vladimirsky, A.
    "Anisotropic Challenges in Pedestrian Flow Modeling"
    Accepted for publication in Communications in Mathematical Sciences. [arxiv]
  • Virgin, L. N., Plaut, R. H., & Cartee, E.
    "The Effect of Gravity on a Slender Loop Structure"
    In Nonlinear Dynamics, Volume 1 (pp. 185-190). Springer, Cham (2016). [online]
  • Virgin, L. N., Plaut, R.H., & Cartee, E.
    "Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation"
    Experimental Mechanics, 55(6), 1191-1197 (2015). [online]
  • Khan, S., Johnson, J., Cartee, E., & Yao, Y.
    "Global regularity of chemotaxis equations with advection"
    Involve, a Journal of Mathematics, 9(1), 119-131 (2015). [online]


  • "Anisotropic Challenges in Pedestrian Flow Modeling" (Poster)
    August 28, 2017
    Mean Field Games Workshop
    Institute for Pure and Applied Mathematics, UCLA
  • "Models of Pedestrian Flow"
    April 6th, 2015
    Scientific Computing and Numerical Analysis seminar
    Cornell University
  • "The Effect of Progenitor Rotation on SASI in Core-Collapse Supernovae" (Poster)
    August 1, 2012
    Summer Undergraduate Research Symposium
    North Carolina State University