Use an en dash rather than a hyphen. This is the official name of the UW System branch in Madison. Spell out on first reference in publications that will be read widely off campus. Capitalize The only as a formal title in a formal reference, such as in the headline of a program; generally, though, lowercase the. UW–Madison is acceptable on second reference and in all internal communication; the UW is acceptable on second reference in a context that is clearly UW–Madison; university is also acceptable on second reference. See also CMS 6.46 and 6.81 and University of Wisconsin, the; UW–Madison (no the); and UW, the.