problem. In 1974 he solved the extension problem for quasiconformal mappings, and gave important new results in the Bochner–Riesz mean in dimension two. In the theory of dynamical systems, Carleson has worked in complex dynamics. His proof with Michael Benedicks, of the existence of strange attractors in the Hénon map in 1991 led to a new field in dynamical systems. In addition to publishing some landmark papers, Carleson has also published two books: First, an influential book on potential theory, Selected Problems on Exceptional Sets (Van Nostrand, 1967), and second a book on the iteration of analytic functions, Complex Dynamics (Springer, 1993, in collaboration with T. W. Gamelin). He was the co-editor along with Paul Malliavin, J. Neuberger and J. Wermer who collected and published the unpublished works of his mentor Arne Beurling in 1989. Awards He was awarded the Wolf Prize in Mathematics in 1992, the Lomonosov Gold Medal in 2002, the Sylvester Medal in 2003, and the Abel Prize in 2006 for his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems. He is a member of the Norwegian Academy of Science and Letters. In 2012 he became a fellow of the American Mathematical Society. He became a Foreign Fellow of the Royal Society in 1993, Honorary member of the London Mathematical Society in 1981, the American Academy of Arts and Sciences, French Academy of Sciences, Royal Swedish Academy of Sciences, Finnish Society of Sciences and Letters, Finnish Academy of Science and Letters, Royal Danish Academy of Sciences and Letters and the Hungarian Academy of Sciences. He has honorary doctorates from many universities such as Helsinki, Paris and KTH Royal Institute of Technology, Stockholm. Publications Selected Problems on Exceptional Sets, Van Nostrand, 1967 Matematik för vår tid (Mathematics for our time), Prisma 1968 with T. W. Gamelin: Complex Dynamics, Springer, 1993 References External links Living people 1928 births 20th-century Swedish mathematicians 21st-century Swedish mathematicians Abel Prize laureates Foreign Members of the Royal Society Institute for Advanced Study visiting scholars Uppsala University alumni Academic staff of the KTH Royal Institute of Technology Wolf Prize in Mathematics laureates Members of the French Academy of Sciences Members of the Norwegian Academy of Science and Letters Foreign Members of the USSR Academy of Sciences Foreign Members of the Russian Academy of Sciences Directors of the Mittag-Leffler Institute Foreign associates of the National Academy of Sciences Fellows of