Randall Dougherty
Randall Lee Dougherty (* 1961 ) is an American mathematician.
Dougherty won the US Mathematical Olympiad three times (1976, 1977, 1978), received a gold medal in 1977 and a silver medal at the International Mathematical Olympiad in 1976 and 1978, and was a three-time winner of the Putnam Competition (1978, 1979, 1980). He received his PhD from the University of California, Berkeley , under Jack Silver ( Narrow Coverings of Omega Product Spaces ) in 1985. He is a professor at Ohio State University . In 1992 he became a Sloan Research Fellow .
Dougherty deals with various areas of mathematics, including set theory, real analysis, coding theory, computational geometry.
In 1994 he solved a sixty year old problem between Edward Marczewski and Matthew Foreman : they showed that Banach-Tarski decompositions of the unit sphere with Baire property exist.
In 2005 he showed that linear codes are not optimally suited for use in networks.
Web links
Individual evidence
- ^ Mathematics Genealogy Project
- ^ Alumni News, Ohio State University
- ^ Dougherty, Foreman Banach-Tarski decompositions using sets with the property of Baire , Journal of the American Mathematical Society, Volume 7 1994, pp. 75-124
- ↑ Dougherty, Chris Freiling, Ken Zeger Insufficiency of linear coding in network information flow , IEEE Transactions on Information Theory, Volume 51, 2005, pp. 2745-2759
| personal data | |
|---|---|
| SURNAME | Dougherty, Randall |
| ALTERNATIVE NAMES | Dougherty, Randall Lee (full name) |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | 1961 |