Abram Samoilovitch Besicovitch

A. S. Besicovitch

Abram Samoilovitch Besicovitch (1891-1970)
Born 24 January 1891(1891-01-24)
Berdyansk, Russia
Died November 2, 1970(1970-11-02) (aged 79)
Cambridge, UK
Residence United Kingdom
Nationality Russian and British
Fields Mathematician
Institutions Liverpool University
University of Cambridge
Alma mater St Petersburg University
Doctoral advisor Andrey Markov
Doctoral students Joseph E. Gillis
Grant Walker
Oliver Aberth
Other notable students Patrick Moran
Known for Hausdorff-Besicovitch dimension
Besicovitch functions
Besicovitch covering theorem

Abram Samoilovitch Besicovitch (or Besikovitch) (Russian: Абра́м Само́йлович Безико́вич; 24 January 1891 – 2 November 1970) was a Russian mathematician, who worked mainly in England. He was born in Berdyansk on the Sea of Azov (now in Ukraine) to a Karaite family.

Life and career

He studied under A. A. Markov at the St. Petersburg University, graduating with a PhD in 1912. He then began research in probability theory. He converted to Eastern Orthodoxy, joining the Russian Orthodox Church, on marrying in 1916. He was appointed professor at the University of Perm in 1917, and was caught up in the Russian Civil War over the next two years. In 1920 he took a position at the Petrograd University.

In 1924 he went to Copenhagen and Harald Bohr, on a Rockefeller Fellowship, where he worked on almost periodic functions, which now bear his name. After a visit to G.H. Hardy in Oxford, he had appointments at Liverpool University in 1926, and the University of Cambridge in 1927.

After moving to Cambridge in 1927, and by 1950 he had been appointed to the Rouse Ball Chair of Mathematics, which he held until his retirement in 1958, he then toured the USA for eight years before returning to Trinity College Cambridge until probably his death in 1970. He was appointed Lecturer in the Faculty of Mathematics, and therefore received recognition as a Cambridge MA by 'Special Grace' on 24 November 1928. He worked mainly on combinatorial methods and questions in real analysis, such as the Kakeya needle problem and the Hausdorff-Besicovitch dimension. These two particular areas have proved increasingly important as the years have gone by.

He was also a major influence on the economist Piero Sraffa, after 1940, when they were both Fellows of Trinity College, and on Dennis Lindley, one of the founders of the Bayesian movement in the United Kingdom. He was J.E. Littlewood's successor in 1950 in the Rouse Ball chair at Cambridge, retiring in 1958. He died in Cambridge.

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