Biography:Stephen Milne (mathematician)

Short description: American mathematician

Stephen Carl Milne is an American mathematician who works in the fields of analysis, analytic number theory, and combinatorics.

Milne received a bachelor's degree from San Diego State University in 1972 and a Ph.D. from the University of California, San Diego (UCSD) in 1976. His thesis, Peano curves and smoothness of functions, was written under Adriano M. Garsia. 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.

Selected publications

• Milne, Stephen C. (1978). "A q-analog of restricted growth functions, Dobinski's equality, and Charlier polynomials". Trans. Amer. Math. Soc. 245: 89–118. doi:10.1090/s0002-9947-1978-0511401-8. 
• with Glenn Lilly: Milne, Stephen C.; Lilly, Glenn M. (1992). "The A_ℓ and C_ℓ Bailey transform and lemma". Bull. Amer. Math. Soc. (N.S.) 26: 258–263. doi:10.1090/s0273-0979-1992-00268-9. 
• Milne, S. C. (1996). "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. doi:10.1073/pnas.93.26.15004. PMID 11038532. Bibcode: 1996PNAS...9315004M. 
• Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Kluwer Academic Publishers. 2002. ISBN 9781402004919. https://books.google.com/books?id=wTOr_74CM2UC. 

External links

• Homepage at Ohio State University