Carlos Kenig works in the field of analysis, a major branch of mathematics that includes calculus and other techniques often applied to scientific problems. His contributions to harmonic analysis, partial differential equations and nonlinear dispersive partial differential equations earned him the 2008 Maxime Bocher Memorial Prize, which is awarded by the American Mathematical Society. An outgrowth of the research of Joseph Fourier nearly two centuries ago, harmonic analysis can be applied to the study of heat, light and other phenomena involving wave motion. Kenig principally studies partial differential equations and one of their subclasses–nonlinear dispersive equations–which describe various aspects of such phenomena. He was elected to the National Academy of Sciences in 2014.