Charles Fefferman

Professor at the Princeton University Mathematics Department

Research topic 

Harmonic analysis, partial differential equations, several complex variables, microlocal analysis, Sobolev spaces, singular integrals, fluid dynamics (Navier–Stokes), quantum mechanics, mathematical physics, approximation theory, neural networks.

Biography 

Charles Fefferman is a renowned American mathematician whose work has profoundly shaped modern analysis. He earned his Ph.D. from Princeton University in 1969 at the age of 20 and became the youngest full professor in the university's history at age 22. Fefferman has made groundbreaking contributions to harmonic analysis, several complex variables, partial differential equations, and mathematical physics. His work on singular integrals, Sobolev spaces, and microlocal analysis has led to fundamental advances in understanding fluid dynamics, especially the Navier--Stokes equations, as well as applications in quantum mechanics and, more recently, machine learning. He has received numerous prestigious awards, including the Fields Medal (1978), the Wolf Prize in Mathematics, and the Breakthrough Prize in Mathematics. Fefferman is currently a Professor of Mathematics at Princeton University.

Publication and Awards

Publications

• Fefferman, Charles (1970), "Inequalities for strongly singular convolution operators", Acta Mathematica, 124: 9–36, doi:10.1007/bf02394567
• Fefferman, Charles (1971), "The multiplier problem for the ball", Annals of Mathematics, 94 (2): 330–336, doi:10.2307/1970864, JSTOR 1970864
• Fefferman, C.; Stein, E. M. (1971), "Some maximal inequalities", American Journal of Mathematics, 93 (1): 107–115, doi:10.2307/2373450, JSTOR 2373450
• Fefferman, C.; Stein, E. M. (1972), "Hp spaces of several variables", Acta Mathematica, 129: 137–193, doi:10.1007/bf02392215
• Coifman, R.; Fefferman, C. (1974), "Weighted norm inequalities for maximal functions and singular integrals", Studia Mathematica, 51 (3): 241–250, doi:10.4064/sm-51-3-241-250
• Fefferman, Charles (1974), "The Bergman kernel and biholomorphic mappings of pseudoconvex domains", Inventiones Mathematicae, 26 (1): 1–65, Bibcode:1974InMat..26....1F, doi:10.1007/bf01406845, S2CID 125007742
• Fefferman, Charles L. (1983), "The uncertainty principle", Bulletin of the American Mathematical Society, 9 (2): 129–206, doi:10.1090/s0273-0979-1983-15154-6
• Donnelly, Harold; Fefferman, Charles (1983), "L2-cohomology and index theorem for the Bergmann metric", Annals of Mathematics, 118 (3): 593–618, doi:10.2307/2006983, JSTOR 2006983
• Constantin, P.; Fefferman, C.; Majda, A. J. (1996), "Geometric constraints on potentially singular solutions for the 3-D Euler equations", Communications in Partial Differential Equations, 21 (3–4): 559–571, doi:10.1080/03605309608821197
• Fefferman, Charles (2005). "A sharp form of Whitney's extension theorem". Annals of Mathematics. 161 (1): 509–577. doi:10.4007/annals.2005.161.509. ISSN 0003-486X.

Awards

• 1978 – Fields Medal, for major contributions to analysis and several complex variables.
• 2011 – Steele Prize for Lifetime Achievement, American Mathematical Society.
• 2017 – Wolf Prize in Mathematics, for outstanding contributions to mathematical analysis.
• 2017 – Breakthrough Prize in Mathematics, for solving major problems in mathematical analysis.
• Member, U.S. National Academy of Sciences and foreign member of several national academies