David W. Boyd
David W. Boyd (* 1941 ) is a Canadian mathematician who studies applications of analysis in number theory and geometry and experimental mathematics.
Life
Boyd studied at Carleton University (Bachelor 1963) and the University of Toronto with a Master’s degree in 1964 and a doctorate in 1966 under Paul George Rooney ( The Hilbert transformation on rearrangement invariant Banach spaces ).
In the 1970s he dealt with packings, for example Apollonian packings of circles and the Hausdorff dimension of the residual amount not covered by these.
He deals with the application of classical analysis to discrete phenomena, for example in number theory and geometry (hyperbolic manifolds). He often makes use of computer experiments. For example, he was looking for explicit formulas for the Mahler measure of polynomials (in several variables), with connections to special values of L-functions in number theory. The work is related to the theory of motives. Another area of investigation by Boyd are Mahler measures of A-polynomials (invariants of hyperbolic 3-manifolds), which he associated with values of dilogarithms. These studies also have connections to number theory.
In 1979 he received the Coxeter James Prize and in 2005 the CRM Fields PIMS Prize .
Peter Borwein is one of his doctoral students .
Fonts
- Mahler's measure and special values of L-functions, Experimental Mathematics, Volume 37, 1998, pp. 37-82
- Mahler's measure and invariants of hyperbolic manifolds, in MA Bennett (Ed.) Number theory for the Millenium , AK Peters 2000, pp. 127-143
- Mahler's measure, hyperbolic manifolds and the dilogarithm, Canadian Mathematical Society Notes, 34.2, 2002, 3–4, 26–28 (Jeffery Williams Lecture)
- with F. Rodriguez Villegas Mahler's measure and the dilogarithm , part 1, Canadian J. Math., Volume 54, 2002, pp. 468-492
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Boyd, David W. |
| BRIEF DESCRIPTION | Canadian mathematician |
| DATE OF BIRTH | 1941 |