Stephen Milne (mathematician) explained

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

Education and career

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).

Awards

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.^[1]

Selected publications

• A q-analog of restricted growth functions, Dobinski's equality, and Charlier polynomials. Trans. Amer. Math. Soc.. 1978. 245. 89–118. 511401. 10.1090/s0002-9947-1978-0511401-8. free. Milne. Stephen C..
• with Glenn Lilly: The A_ℓ and C_ℓ Bailey transform and lemma. Bull. Amer. Math. Soc. (N.S.). 1992. 26. 258–263. 1118702. 10.1090/s0273-0979-1992-00268-9. math/9204236. Milne. Stephen C.. Lilly. Glenn M.. 119144316.
• New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function. Proc Natl Acad Sci U S A. 1996. 93. 26. 15004–15008. 26345. 10.1073/pnas.93.26.15004. 11038532. 1996PNAS...9315004M. math/0008068. Milne. S. C.. free.
• Book: Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. 2002. Kluwer Academic Publishers. 9781402004919.

External links

• Homepage at Ohio State University

Notes and References

1. http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society