# Carlos Kenig

Carlos Kenig 1990 in Nagoya

Carlos Eduardo Kenig (born November 25, 1953 in Buenos Aires ) is an Argentine-American mathematician who deals with analysis .

## Life

Kenig went to school in Buenos Aires. He studied and obtained his doctorate in 1978 at the University of Chicago with Alberto Calderon ( spaces on Lipschitz Domains). He then was an instructor at Princeton University from 1978 to 1980 and then at the University of Minnesota , where he became a professor in 1983. From 1985 he was a professor at the University of Chicago, where he is now Louis Block Distinguished Service Professor. ${\ displaystyle H_ {p}}$

Kenig deals with harmonic analysis and partial differential equations. In 2008 he received the Bôcher Memorial Prize specifically for work on nonlinear dispersive partial differential equations such as the Korteweg-de-Vries equation or the nonlinear Schrödinger equation . In the award laudation, works by Frank Merle , Gustavo Ponce, Louis Vega and Alex Ionescu are cited.

Kenig was a Guggenheim Fellow and a Sloan Research Fellow . He is a fellow of the American Mathematical Society . He was invited speaker at the ICM in Berkeley 1986 ( Carleman estimates, uniform Sobolev inequalities for second order differential operators and unique continuation theorems ) and in Beijing 2002 ( Harmonic measure and "locally flat" domains ). He was also elected to the American Academy of Arts and Sciences in 2002. In 2010 he gave a plenary lecture at the International Congress of Mathematicians in Hyderabad (The global behavior of solutions to critical nonlinear dispersion equations). In 1984 he received the Salem Prize . In 2014 he was elected to the National Academy of Sciences . Kenig was selected to deliver the American Mathematical Society's Colloquium Lectures in 2017 . He was elected President of the International Mathematical Union in July 2018 for the period 2019-2022.

## Fonts

• Harmonic analysis techniques for second order elliptic boundary value problems, AMS 1994
• with Jean Bourgain , Sergiu Klainerman (editor): Mathematical aspects of nonlinear dispersive equations, Princeton University Press 2007
• with Luca Capogna, Loredana Lanzani: Geometric Measure- geometric and analytic points of view, AMS 2005
• with Panagiota Daskalopoulos: Degenerate Diffusions: Initial Value Problems and Local Regularity Theory, EMS Tracts in Mathematics, 2007