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A Adrain Albert's parents were Russian. His Ph.D., in 1928, was from Chicago under Dickson's supervision. After a year at Princeton and two years at Columbia, he returned to Chicago where he remained for the rest of his life. For a time Albert was chairman of the Chicago department and he was also President of the American Mathematical Society.
Albert's main work was on associative and non-associative algebras and Riemann matrices. He worked on classifying division algebras building on the work of Wedderburn but Brauer, Hasse and Emmy Noether got the result first. Albert's major contribution is, however, detailed in a joint paper with Hasse. Albert's book Structure of Algebras published in 1939 remains a classic.
Albert's work on Riemann matrices was prompted by Lefschetz. Albert received the Cole prize from the American Mathematical Society in 1939 for his papers on the construction of Riemann matrices published in the Annals of Mathematics in papers of 1934 and 1935.
References (4 books/articles)
References elsewhere in this archive:
Abraham Albert was the President of the American Mathematical Society in 1965 - 1966. You can see a history of the AMS and a list of AMS presidents.
He was the American Mathematical Society Colloquium Lecturer in 1939. You can see a history of the AMS Colloquium and a list of the lecturers.
He was the Cole Prize winner in 1939. You can see a history of the AMS Cole Prize and a list of the winners.