Claude Ambrose Rogers

Claude Ambrose Rogers ( * November 1, 1920; † 5 December 2005) was an English mathematician who worked on number theory ( geometry of numbers ), sphere packings and Analysis.

Rogers studied at University College London and Birkbeck College, London (Bachelor 1941). During World War II he worked as Experimental Officer at the Ministry of Supply. In 1946 he was a lecturer at University College, where he received his doctorate in 1949 at Lancelot Bosanquet ( The Transformation of sequences by matrices ). In 1952 he received his D. Sc. (Doctor of Science), worked with Harold Davenport and was Reader. In 1954 he became a professor at the University of Birmingham and 1958 Astor Professor of Mathematics at University College, a position he held until his retirement in 1986.

He wrote numerous works on sphere packings, some with Paul Erdős and HSM Coxeter. In 1958 he gave an upper limit for sphere packings in - dimensional Euclidean space, for low dimensions ( 3-43 ) long, the best upper bound was (2001 Károly Bezdek for improved). Later he dealt among other things with measure theory. He wrote the first textbook on Hausdorff dimensions, which are often used in the theory of fractals. He also edited the collected works of Davenport.

In 1959 he became a Fellow of the Royal Society, in whose advice he was also at times. 1970 to 1972 he was President of the London Mathematical Society, the De Morgan Medal he received in 1977. In 1974 he was invited speaker at the International Congress of Mathematicians in Vancouver ( probabilistic and combinatorial methods in the study of the geometry of euclidean spaces ), and also in 1954 (The Minkowski Hlawka theorem).

Writings

• Packing and Covering. Cambridge Tracts, 1964.
• Hausdorff Measures. Cambridge University Press, 1970, 2nd edition 1999.
• The packing of equal spheres. Proceedings of the London Mathematical Society, Bd.8, 1958, S.609.