Stephen Milne

Stephen Carl Milne is an American mathematician who studies analysis and combinatorics .

Milne studied at the University of California, San Diego (UCSD), with a bachelor's degree in 1972 and a doctorate in 1976 with Adriano M. Garsia ( Peano curves and smoothness of functions ). From 1976 to 1978 he was a Gibbs instructor at Yale University . He has taught at Texas A&M University , UCSD, the University of Kentucky and Ohio State University , where he became an Associate Professor in 1982 and Professor in 1985.

He deals with algebraic combinatorics, classical analysis and special functions (for example various hypergeometric series, elliptic functions, continued fractions, higher-dimensional generalizations of classical special functions), analytic number theory (for example identities between sums of and squares using elliptic functions, a field in which Carl Gustav Jacobi already worked) and Lie algebras (generalizations of the Macdonald identities) and the connection between these different areas. ${\displaystyle 4n^{2}}$ ${\displaystyle 4n(n+1)}$

From 1981 to 1983 he was a Sloan Research Fellow . In 2007 he received the Euler Medal with Heiko Harborth . He is a fellow of the American Mathematical Society .

Web links

• Homepage
• Stephen Milne in the Mathematics Genealogy Project (English)

Individual evidence

1. ↑ Milne New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function , Proc. Nat. Acad. Sci., Volume 93, 1996, pp. 15004–15008, Ivars Peterson Surprisingly Square ( Memento of the original from January 7, 2013 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. , Science News, June 2001 
2. ^ The ICA Medals. Institute of Combinatorics and its Applications, accessed June 15, 2018 .