David William Boyd (born 17 September 1941) is a Canadian mathematician who does research on harmonic and classical analysis, inequalities related to geometry, number theory, and polynomial factorization, sphere packing, number theory involving Diophantine approximation and Mahler's measure, and computer computations.
Boyd received in 1963 his B.Sc.
with Honours from Carleton University, then in 1964 his M.A.
and in 1966 his Ph.D.
from the University of Toronto under Paul George Rooney with thesis The Hilbert transformation on rearrangement invariant Banach spaces.
Boyd became in 1966β67 an assistant professor at the University of Alberta, in 1967β70 an assistant professor and in 1970β71 an associate professor at the California Institute of Technology, and in 1971β74 an associate professor, in 1974β2007 a professor, and since 2007 a professor emeritus at the University of British Columbia.
Boyd has done research on classical and harmonic analysis, including interpolation spaces, integral transforms, and potential theory, and research on inequalities involving geometry, number theory, polynomials, and applications to polynomial factorization.
He has also worked, especially in the 1970s, on sphere packing, in particular, Apollonian packing and limit sets of Kleinian groups.
Boyd has studied number theory, such as diophantine approximation, the Pisot and Salem numbers, Pisot sequences, Mahlerβs measure, applications to symbolic dynamics, and special values of L-functions and polylogarithms.
He is also interested in mathematical computation, including numerical analysis, symbolic computation, and computational number theory, and also geometric topology, including hyperbolic manifolds and computation of invariants.
His doctoral students include Peter Borwein.