Department of Mathematics

Jun Kitagawa

Picture of Jun Kitagawa

Assistant Professor

  • Ph.D., Princeton University, 2011

Office Hours
  • 2:40-3:40
  • By appointment
Currently Teaching
Research Interests

My main interests are in fully nonlinear elliptic PDEs, particularly those of Monge-Ampère type. These equations arise in many contexts such as optimal transport, geometric optics, and irrotational fluid flow; currently my main focus is on regularity and partial regularity properties of solutions. I am also interested in numerics for Monge-Ampère type equations.

Selected Publications
  • "Pointwise estimates and regularity in geometric optics and other Generated Jacobian Equations." With Nestor Guillen. To appear in Comm. Pure Appl. Math. 2016.  Open