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Otto Franz Georg Schilling (3 November 1911 – 20 June 1973) was a German-American mathematician known for his work in algebra.
He was born in Apolda and studied in the 1930s with the Universität Jena the Universität Göttingen under Emmy Noether, and the Marburg University, where he in 1934 obtained a Ph.D. under Helmut Hasse (co-advised by Emmy Noether) on the thesis Über gewissen Beziehungen zwischen der Arithmetik hyperkomplexer Zahlsysteme und algebraischer Zahlkörper. He then was post doc at Trinity College, Cambridge before moving to Institute for Advanced Study 1935–37 and the Johns Hopkins University 1937–39. He became an instructor with the University of Chicago in 1939, promoted to assistant professor 1943, associate 1945 and full professor in 1958. In 1961 he moved to Purdue University. He died in Highland Park, Illinois. His students were, among others, the game theorist Anatol Rapoport and the mathematician Harley Flanders.
- "Regular normal extensions over complete fields". Trans. Amer. Math. Soc. 47 (3): 440–454. 1940. MR 0001970.
- with Saunders Mac Lane: "A formula for the direct products of crossed product algebras". Bull. Amer. Math. Soc. 48 (2): 108–114. 1942. MR 0006152.
- "On a special class of abelian functions". Bull. Amer. Math. Soc. 51 (2): 133–136. 1945. MR 0011291.
- "Noncommutative valuations". Bull. Amer. Math. Soc. 51 (4): 297–304. 1945. MR 0011684.
- "Ideal theory on open Riemann surfaces". Bull. Amer. Math. Soc. 52 (11, Part 1): 945–963. 1946. MR 0019733.
- Schilling, Otto (1950). Theory of Valuations. American Mathematical Society. ISBN 0821815040.
- Schilling, Otto; Piper, William Stephen (1975). Basic abstract algebra. Allyn & Bacon. ISBN 0205042732(394 pages)
- Otto Schilling at the Mathematics Genealogy Project
- Hochschild, G. (1951). "Review: The theory of valuations, by O. F. G. Schilling". Bull. Amer. Math. Soc. 57 (1, Part 1): 91–94.