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Andreas Blass

German-American mathematician

Andreas R. Blass
Blass in 2008
Born	October 27, 1947 (1947-10-27) (age 76) Nuremberg[citation needed]
Nationality	American
Known for	set theory, mathematical logic, theoretical computer science
Scientific career
Fields	Mathematician
Institutions	University of Michigan
Doctoral advisor	Frank Wattenberg

Andreas Raphael Blass (born October 27, 1947) is a mathematician, currently a professor at the University of Michigan. He works in mathematical logic, particularly set theory, and theoretical computer science.

Blass graduated from the University of Detroit, where he was a Putnam Fellow in 1965,^[1] in 1966 with a B.S.inphysics. He received his Ph.D. in 1970 from Harvard University, with a thesis on Orderings of Ultrafilters written under the supervision of Frank Wattenberg.^[2] Since 1970 he has been employed by the University of Michigan, first as a T.H. Hildebrandt Research Instructor (1970–72), then assistant professor (1972–76), associate professor (1976–84) and since 1984 he has been a full professor there.

In 2014, he became a Fellow of the American Mathematical Society.^[3]

In 1984 Blass proved that the existence of a basis for every vector space is equivalent to the axiom of choice. He made important contributions in the development of the set theory of the reals and forcing.

Blass was the first to point out connections between game semantics and linear logic.

He has authored more than 200 research articles in mathematical logic and theoretical computer science, including:

• Blass, Andreas (1984), "Existence of bases implies the axiom of choice" (PDF), Axiomatic set theory, Contemporary Mathematics volume 31, Providence, R.I.: American Mathematical Society, pp. 31–33, ISBN 0-8218-5026-1, MR 0763890
• Blass, Andreas; Shelah, Saharon (1987). "There may be simple ${\displaystyle P_{\aleph _{1}}}$- and ${\displaystyle P_{\aleph _{2}}}$-points and the Rudin–Keisler ordering may be downward directed". Annals of Pure and Applied Logic. 33: 213–243. doi:10.1016/0168-0072(87)90082-0. hdl:2027.42/26916.
• Blass, Andreas (1992). "A game semantics for linear logic". Annals of Pure and Applied Logic. 56 (1–3): 183–220. doi:10.1016/0168-0072(92)90073-9. hdl:2027.42/30097.
• Blass, Andreas; Gurevich, Yuri (2003). "Algorithms: a quest for absolute definitions" (PDF). Bull. Eur. Assoc. Theor. Comput. Sci. EATCS. 81: 195–225. Retrieved 2008-04-28.

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• Blass's page at UM

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