Alberto P. Calderon

National Medal of Science

Mathematics And Computer Science

For his ground-breaking work on singular integral operators leading to their application to important problems in partial differential equations, including his proof of uniqueness in the Cauchy problem, the Atiyah-Singer index theorem and the propagation of singularities of non-linear equations.

For his ground-breaking work on singular integral operators leading to their application to important problems in partial differential equations, including his proof of uniqueness in the Cauchy problem, the Atiyah-Singer index theorem and the propagation of singularities of non-linear equations.

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Birth
September 14, 1920
Age Awarded
71
Country of Birth
Argentina
Key Contributions
Partial Differential Equations
Contributions To Studies Of Harmonic Analysis
Pure Mathematics
Awarded by
George H. W. Bush
Education
University of Buenos Aires
University of Chicago
Areas of Impact
Communication & Information
Affiliations
University of Chicago
A

Alberto P. Calderón is regarded as one of this century’s leading mathematicians. His contributions have changed the way researchers approach a wide variety of areas in both pure mathematics and its applications to science.

His influence is felt strongly in a wide array of subjects from the abstract-- harmonic analysis and partial differential equations—to more tangible fields, such as geophysics and tomography. Calderón is best known for his contributions in mathematical analysis, a large branch of mathematics that includes calculus, infinite series and the analysis of functions.

Alongside his mentor Antoni Zygmund, Calderón formulated a theory of singular integrals-- mathematical objects that look infinite, but when interpreted properly are finite and well-behaved. Now known as the Calderón-Zygmund theory, Calderón showed how these singular integrals could be used to obtain estimates of solutions to equations in geometry and to analyze functions of complex variables. He also showed how singular integrals could provide entirely new ways to study partial differential equations, which continue to be widely used to solve problems in physics and engineering.

By Jenn Santisi

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