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Claude Ambrose Rogers

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1 Nov 1920

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Ambrose Rogers was educated at Berkhamsted School in Hertfordshire, England about 45 km northwest of London. From there he went to University College, London and Birkbeck College, London and was awarded his B.Sc. from the University of London in 1941. However, these were the years of World War II and Rogers did war work as an Experimental Officer with the Ministry of Supply from 1940 until the end of the war in 1945. Other mathematicians such as Kendall also held such posts with the Ministry of Supply.

After the war ended Rogers returned to his mathematical studies. He was appointed a lecturer in mathematics at University College, London in 1946 and worked for his doctorate while lecturing at the College. He was awarded a Ph.D. in 1949 and a D.Sc. in 1952 having worked at this time with Davenport and publishing two joint papers with him in 1950. At University College, Rogers was promoted to reader before he moved to Birmingham in 1954 as the Professor of Pure Mathematics at Birmingham University.

After four years in Birmingham, Rogers returned to London, this time as the Astor Professor of Mathematics at University College. He succeeded Harold Davenport as the Astor Professor of Mathematics who had moved to Cambridge in 1958. Rogers held this post until he retired in 1986, when he became professor emeritus and remained at University College.

Roger's continues to produce a remarkable mathematical output having published to date over 170 papers. His early work was on number theory and he wrote on Diophantine inequalities and the geometry of numbers. Jointly with Erdös , he wrote The covering of n-dimensional space by spheres (1953) and Covering space with convex bodies (1961), writing many other articles on coverings and packings including Covering space with equal spheres with Coxeter .

His later work covered a wide range of different topics in geomery and analysis including Borel functions, Hausdorff measure and local measure, topological properties of Banach spaces and upper semicontinuous functions. Rogers has written two important books, Packing and Covering in 1964 and Hausdorff Measures in 1970.

Rogers wrote an obituary of Harold Davenport for the London Mathematical Society which was published in 1972, the year after Rogers wrote a survey of Davenport 's work. He was one of the editors of the The collected works of Harold Davenport published in four volumes in 1977.

Rogers was elected a fellow of the Royal Society in 1959 and served on the Council of the Royal Society for two spells, first from 1966 to 1968 and then again in 1983-84. He also served as the 55th President of the London Mathematical Society from 1970 to 1972 and was honoured with the award of the London Mathematical Society 's De Morgan Medal in 1977.

Source:School of Mathematics and Statistics University of St Andrews, Scotland