German-American mathematician
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. in physics . 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]
Selected publications and results
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
P
ℵ ℵ -->
1
{\displaystyle P_{\aleph _{1}}}
- and
P
ℵ ℵ -->
2
{\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 .
References
External links
International National Academics People Other