Charles Fefferman

Charles Louis Fefferman (born April 18, 1949) is an American mathematician. At the 1978 International Congress of Mathematicians he was awarded the Fields Medal for his contributions to mathematical analysis.

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Quotes

When a student picks a research topic, the decision is influenced by the research interests of the advisor, the state of the field in which the problem lives, the personality of the advisor, the chemistry between them ... who else in working on whichever problem. It's immensely complicated. And asking for a sort of simple prescription for how to assign research problems — it reminds a little of the question of how to decide who should marry whom.
- Ubiquity of Mathematics: Charles Fefferman. YouTube (5 October 2013). (quote at 9:58 of 14:56 in video)

First of all, there are problems that no one knows how to solve. There are problems that have been studied but untouched, or problems on which there is partial progress. There are problems that sound compelling when formulated, but which no one has thought of yet. There are concepts which are very useful in solving problems .. or which perhaps ... sound very natural and compelling when formulated, but have not been formulated yet. And all of these things interact. So, by solving problems, one is led to concepts — and, by thinking about concepts, one is led to problems.
- HLF Laureate Portraits: Charles Fefferman. YouTube (17 February 2019). (quote at 17:03 of 53:26 in video)

Charles Fefferman (Charlie) is a mathematician of the first rank whose outstanding findings, both classical and revolutionary, have inspired further research by many others. He is one of the most accomplished and versatile mathematicians of all time, having so far contributed with fundamental results to harmonic analysis, linear PDEs, several complex variables, conformal geometry, quantum mechanics, fluid mechanics, and Whitney’s theory, together with more sporadic incursions into other subjects such as neural networks, financial mathematics, and crystallography.
- Antonio Córdoba, (December 2017)"Ad Honorem Charles Fefferman". Notices of the American Mathematical Society 64 (11): 1254–1273. DOI:10.1090/noti1606. (quote from p. 1254)