Stephen G. Simpson
Department of Mathematics
Pennsylvania State University
simpson@math.psu.edu
December 15, 1999
The basic reference for reverse mathematics is my recently published book Subsystems of Second Order Arithmetic [32]. The web site for the book is www.math.psu.edu/simpson/sosoa/. This article is a write-up of some representative open problems in reverse mathematics. It was originally a handout for my 45-minute invited talk at the AMS-INS-SIAM conference Computability Theory and Applications, June 13-17, 1999, Boulder, Colorado.