Theodore Slaman

Theodore Allen Slaman
Born	April 17, 1954
Citizenship	United States
Fields	Mathematics
Institutions	University of California, Berkeley
Alma mater	Harvard
Doctoral advisor	Gerald E. Sacks

Theodore Allen Slaman is a professor of mathematics at the University of California, Berkeley who works in recursion theory.

Slaman and W. Hugh Woodin formulated the Bi-interpretability Conjecture for the Turing degrees, which conjectures that the partial order of the Turing degrees is logically equivalent to second order arithmetic. They showed that the Bi-interpretability Conjecture is equivalent to there being no nontrivial automorphism of the Turing degrees. They also exhibited limits on the possible automorphisms of the Turing degrees by showing that any automorphism will be arithmetically definable.

References

• Slaman, Theodore A. (1991). "Degree structures". Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990). pp. 303–316. MR 93b:03074.

External links

• home page.
• Theodore Slaman at the Mathematics Genealogy Project