William Abikoff
William Abikoff (born 1944) is an American mathematician. He has been a professor of mathematics at the University of Connecticut since 1981.[1]
Abikoff earned his Ph.D. in 1971 from the New York University Polytechnic School of Engineering under the supervision of Georges Gustave Weill.[2] In 2012, Abikoff became a Fellow of the American Mathematical Society.[3]
Research
In 1975, Abikoff introduced the idea of an "augmented Teichmüller space", which is obtained as a Teichmüller space along with regular b-groups on its boundary. He showed that every element of the Teichmüller modular group can be extended to an automorphism of the corresponding augmented Teichmüller space.[4]
Selected works
- Abikoff, William (1986). "The Euler characteristic and inequalities for Kleinian groups". Proceedings of the American Mathematical Society. 97 (4): 593–601. doi:10.1090/s0002-9939-1986-0845971-7. MR 0845971.
- Abikoff, William; Harvey, William J. (2012). "Extremal Kleinian groups". Proceedings of the American Mathematical Society. 140: 267–278. doi:10.1090/s0002-9939-2011-10923-7. MR 2833539.
- Abikoff, William (1980). The Real Analytic Theory of Teichmüller Space. Lecture Notes in Mathematics. Vol. 820. Berlin: Springer. ISBN 038710237X. MR 0590044.
References
- ^ "William Abikoff".
- ^ William Abikoff at the Mathematics Genealogy Project
- ^ "List of Fellows of the American Mathematical Society". Archived from the original on 2018-08-25. Retrieved 2014-12-17.
- ^ Abikoff, William (1976). "Augmented Teichmüller spaces". Bulletin of the American Mathematical Society. 82 (2): 333–334. doi:10.1090/s0002-9904-1976-14049-9. MR 0432919.