Stephen Milne (mathematician)
Stephen Carl Milne is an American mathematician who works in the fields of analysis, analytic number theory, and combinatorics.
Milne received from the University of California, San Diego (UCSD) in 1972 a bachelor's degree and in 1976 a Ph.D. under Adriano M. Garsia with thesis Peano curves and smoothness of functions.[1] From 1976 to 1978 he was a Gibbs Instructor at Yale University. Milne taught at Texas A&M University, UCSD, the University of Kentucky, and Ohio State University, where he became in 1982 an associate professor and in 1985 a full professor.
Milne works on algebraic combinatorics, classical analysis, special functions, analytic number theory, and Lie algebras (generalizations of the Macdonald identities).
From 1981 to 1983 he was a Sloan Fellow. In 2007 he was the joint recipient with Heiko Harborth of the Euler Medal. In 2012 Milne was elected a Fellow of the American Mathematical Society.[2]
Selected publications
- "A q-analog of restricted growth functions, Dobinski's equality, and Charlier polynomials". Trans. Amer. Math. Soc. 245: 89–118. 1978. doi:10.1090/s0002-9947-1978-0511401-8. MR 511401.
- with Glenn Lilly: "The Aℓ and Cℓ Bailey transform and lemma". Bull. Amer. Math. Soc. (N.S.). 26: 258–263. 1992. doi:10.1090/s0273-0979-1992-00268-9. MR 1118702.
- "New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function". Proc Natl Acad Sci U S A. 93 (26): 15004–15008. 1996. doi:10.1073/pnas.93.26.15004. PMC 26345
. PMID 11038532. - Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Kluwer Academic Publishers. 2002.