Otto Schilling

Otto Franz Georg Schilling (3 November 1911 – 20 June 1973) was a German-American mathematician known as one of the leading algebraists of his time.

He was born in Apolda and studied in the 1930s with the Universität Jena and the Universität Göttingen under Emmy Noether. After Noether was forced to leave Germany by the Nazis, he found a new advisor in Helmut Hasse, and obtained his Ph.D. from Marburg University in 1934 on the thesis Über gewisse 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.

Articles

• "Regular normal extensions over complete fields". Trans. Amer. Math. Soc. 47 (3): 440–454. 1940. doi:10.1090/s0002-9947-1940-0001970-2. 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. doi:10.1090/s0002-9904-1942-07613-0. MR 0006152.
• "On a special class of abelian functions". Bull. Amer. Math. Soc. 51 (2): 133–136. 1945. doi:10.1090/s0002-9904-1945-08293-7. MR 0011291.
• "Noncommutative valuations". Bull. Amer. Math. Soc. 51 (4): 297–304. 1945. doi:10.1090/s0002-9904-1945-08339-6. MR 0011684.
• "Ideal theory on open Riemann surfaces". Bull. Amer. Math. Soc. 52 (11, Part 1): 945–963. 1946. doi:10.1090/s0002-9904-1946-08669-3. MR 0019733.

Books

• 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)