Claude Rogers

Claude Ambrose Rogers (born November 1, 1920 † December 5, 2005 ) was an English mathematician who dealt with number theory (geometry of numbers), packing of spheres and analysis.

Claude Rogers 1976

Rogers studied at University College London and at Birkbeck College in London (Bachelor 1941). During the Second World War he worked as an experimental officer at the Ministry of Supply. In 1946 he became a lecturer at University College, where he received his doctorate in 1949 under Lancelot Bosanquet ( The Transformation of Sequences by Matrices ). In 1952 he received his D. Sc. (Doctor of Science), worked with Harold Davenport and became a reader . In 1954 he became professor at the University of Birmingham and in 1958 Astor Professor of Mathematics at University College, which he remained until his retirement in 1986.

He wrote numerous works on spherical packings, partly with Paul Erdős and HSM Coxeter . In 1958 he gave an upper limit for packing of spheres in -dimensional Euclidean space, which was the best upper limit for low dimensions ( between 3 and 43) for a long time (2001 by Károly Bezdek for improved). Later he dealt with, among other things, measure theory. He wrote the first textbook on Hausdorff measures, which are widely used in the theory of fractals. He also edited the collected works of Davenport. ${\displaystyle d}$ ${\displaystyle d}$ ${\displaystyle d>7}$

In 1959 he became a Fellow of the Royal Society , on whose council he also sat temporarily. 1970 to 1972 he was President of the London Mathematical Society , whose 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).

Fonts

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

Web links

• John J. O'Connor, Edmund F. Robertson :  Claude Rogers. In: MacTutor History of Mathematics archive .
• Mathematics Genealogy Project