McLaughlin's research is in approximation theory, random matrix theory, integrable nonlinear pdes, and applications.
The semi-classically scaled ∂- problem associated to the Davey-Stewartson equation - uncharted territory.
normal matrix model eigenvalue density with quartic potential
Zeros of degree 200 Taylor polynomial for cosh(z). The Dashed and solid lines represent the "Szego curve" for this case.
Zeros of Taylor polynomials of Riemann's Xi function, with degree up to 200