TL;DR
John Mather's foundational contributions to mathematics include pioneering work in singularity theory, Hamiltonian dynamical systems, and other fields, significantly influencing modern mathematical research.
Contribution
This paper highlights Mather's original and foundational work across multiple mathematical disciplines, emphasizing his role in establishing key theories.
Findings
Founded singularity theory during graduate studies
Established the basis of modern Hamiltonian dynamical systems
Influenced numerous areas like characteristic classes and celestial mechanics
Abstract
John Mather is a great scholar who was dedicated to mathematics in his whole life. His works in mathematics can be characterized as original and foundational. He laid out the foundation of singularity theory while he was a graduate student. He also laid out the foundation of modern Hamiltonian dynamical systems. Those fields became main stream in mathematics and it attracts many talents to pursue. His other works on characteristic classes, foliations, celestial mechanics, prime ends of conformal mappings are of the same quality with great influence in mathematics.
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Taxonomy
TopicsAnalytic and geometric function theory · Advanced Mathematical Theories · History and Theory of Mathematics