Carleson was cited for his "fundamental contributions to Fourier analysis, complex analysis, quasi-conformal mappings, and dynamical systems, which have established his position as one of the greatest analysts of the 20th century." He received his Ph.D. at Uppsala in 1950, and joined the faculty of the university in 1951. He became a professor at UCLA in 1986. Carleson's other awards include the American Mathematical Society's 1984 Steele Prize.
Thompson was recognized "for his profound contributions to all aspects of finite group theory and connections with other branches of mathematics," according to the award citation. He received his Ph.D. in 1959 from the University of Chicago. After a year as an assistant professor at Harvard, he returned to Chicago as a professor of mathematics, and remained there until 1968. At that time he joined the staff of Cambridge University. In 1970, Thompson was awarded a Fields Medal, given every four years ...