2026 Carlos E. Kenig: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	91	69	58	42	34	341	32286

Research.com Recognitions

2026 - Research.com Mathematics in United States Leader Award
2025 - Research.com Mathematics in United States Leader Award
2014 - Member of the National Academy of Sciences
2013 - Fellow of the American Mathematical Society
2002 - Fellow of the American Academy of Arts and Sciences
1986 - Fellow of John Simon Guggenheim Memorial Foundation
1981 - Fellow of Alfred P. Sloan Foundation

Overview

Carlos E. Kenig is affiliated with the University of Chicago in the United States. Their research primarily spans the field of Mathematics, with a particular focus on Mathematical Physics, Applied Mathematics, and related subfields. The scientist's work includes contributions to Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Control and Systems Engineering.

The main topics addressed in their body of work include:

Advanced Mathematical Physics Problems
Advanced Mathematical Modeling in Engineering
Nonlinear Waves and Solitons
Numerical methods in inverse problems
Nonlinear Partial Differential Equations
Stability and Controllability of Differential Equations
Spectral Theory in Mathematical Physics

Kenig has published extensively along with frequent collaboration with several co-authors, notably:

Thomas Duyckaerts
Frank Merle
Zihui Zhao
Charles Collot
Didier Pilod

Some recent publications include:

"Soliton resolution for the radial critical wave equation in all odd space dimensions" (2023), published in Acta Mathematica
"Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation" (2022), published in Communications in Mathematical Physics
"Exterior Energy Bounds for the Critical Wave Equation Close to the Ground State" (2020), published in Communications in Mathematical Physics
"On Landis' conjecture in the plane when the potential has an exponentially decaying negative part" (2020), published in St Petersburg Mathematical Journal
"Propagation of Smallness in Elliptic Periodic Homogenization" (2021), published in SIAM Journal on Mathematical Analysis

The scientist's frequent publication venues reflect diverse academic journals and repositories in the mathematical sciences:

arXiv (Cornell University)
Notices of the American Mathematical Society
Communications in Mathematical Physics
Archive for Rational Mechanics and Analysis
Advanced Nonlinear Studies

Kenig has also contributed to book publications, including a volume titled "Harmonic Analysis and Applications" published in 2020 by IAS/Park City mathematics series.

Throughout their career, Kenig has received recognition such as:

Member of the National Academy of Sciences (2014)
Fellow of the American Mathematical Society (2013)
Fellow of the American Academy of Arts and Sciences (2002)
Fellow of John Simon Guggenheim Memorial Foundation (1986)
Fellow of Alfred P. Sloan Foundation (1981)

Best Publications

Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

Carlos E. Kenig;Gustavo Ponce;Luis Vega

1601
Citations
Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case

Carlos E. Kenig;Frank Merle

1413
Citations
The local regularity of solutions of degenerate elliptic equations

Eugene B. Fabes;Carlos E. Kenig;Raul P. Serapioni

1370
Citations
The Inhomogeneous Dirichlet Problem in Lipschitz Domains

D. Jerison;C.E. Kenig

986
Citations
A bilinear estimate with applications to the KdV equation

Carlos Kenig;Gustavo Ponce;Luis Vega

965
Citations
Boundary behavior of harmonic functions in non-tangentially accessible domains

David S Jerison;Carlos E Kenig

830
Citations
Oscillatory integrals and regularity of dispersive equations

C. E. Kenig;G. Ponce;L. Vega

823
Citations
Well-posedness of the initial value problem for the Korteweg-de Vries equation

Carlos E. Kenig;Gustavo Ponce;Luis Vega

791
Citations
Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems

Carlos E. Kenig

754
Citations
The Calderón problem with partial data

Carlos E. Kenig;Johannes Sjöstrand;Gunther Uhlmann

656
Citations
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

Carlos E. Kenig;Frank Merle

562
Citations
Unique continuation and absence of positive eigenvalues for Schrodinger operators

David Jerison;Carlos E. Kenig;E. M. Stein

529
Citations
On the ill-posedness of some canonical dispersive equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega

490
Citations
Multilinear estimates and fractional integration

Carlos E. Kenig;Elias M. Stein

489
Citations
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

Carlos E. Kenig;Gustavo Ponce;Luis Vega

486
Citations
The Neumann problem on Lipschitz domains

David S. Jerison;Carlos E. Kenig

458
Citations
On localization in the continuous Anderson-Bernoulli model in higher dimension

Jean Bourgain;Carlos E. Kenig

436
Citations
Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators

C. E. Kenig;A. Ruiz;C. D. Sogge

396
Citations
Small solutions to nonlinear Schrödinger equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega

368
Citations
Hardy spaces and the Neumann problem in L^p for laplace's equation in Lipschitz domains

Bjorn E. J. Dahlberg;Carlos E. Kenig

364
Citations
The Calder'on problem with partial data

C. E. Kenig;J. Sjoestrand;G. Uhlmann

29
Citations
The Calderón problem with partial data

Johannes Sjöstrand

1
Citations

Frequent Co-Authors

Luis Vega University of the Basque Country

Gustavo Ponce University of California, Santa Barbara

Alexandru D. Ionescu Princeton University

Jill Pipher Brown University

Luis Escauriaza University of the Basque Country

Frank Merle CY Cergy Paris University

Gigliola Staffilani MIT

Wilhelm Schlag Yale University

Gunther Uhlmann University of Washington

David Jerison MIT

External Links

Wikipedia of Carlos E. Kenig Personal website of Carlos E. Kenig Google Scholar page

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