Hat tip to Nova, I'm copying the basic UMN format to get this started.
Online Application
The current admission deadline is March 1; I believe last year they kept it open until April 1. Early decision applications are due November 15.
Looking at other TLS threads, fee waivers seem to arrive by mail about a week after you take the LSAT, but ymmv. Old threads in this forum (last year's thread) seem to be the best place for scholarship info. UW's statistics page claims that 90% of students receive financial aid but there is not a lot of good information on the average scholarship amount, in-state vs. out-of-state status, and when scholarship information is sent out. There is some decent scholarship information on LSN (see below) but you have to do a lot of clicking through and guessing to see if your situation matches any particular range of numbers or applicant status.
[EDIT - more scholarship info] The ABA info sheet for WI seems more accurate that the 90% figure sited on WI's page (which could, now that I look at it more closely, just means 10% of students are paying tution out of pocket. They report that 39.7% of students are receiving some kind of grant or scholarship (total students, not just the incoming class); 23.6% are receiving less than half tuition; 12.3% half to full tuition; six students are receiving full tuition awards; and 24 students are receiving more than full tuition (tuition plus some kind of stipend). Anecdotal evidence and LSN clicking around suggests that URMs above both medians can expect generous offers and some out of state students are receiving offers that, more or less, bring tuition down to the in-state rate.
Current Stats
Enrolled Students: 216
LSAT 25/Median/75: 157-162-164
GPA 25/Median/75: 3.32-3.61-3.72
Change vs. last year:
Class Size, UW Madison 216/242 (-26)
LSAT & GPA, UW Madison (#35) 162 (-1), 3.61 (-.06)
Old medians: 158-165, 3.34-3.78
New medians: 157-164, 3.32-3.72
Law School Transparency Stats (LinkRemoved).
Class of 2011 NALP Report - to quote Paul Campos, "the only two things you should take into account when considering a law school are employment outcomes, and cost." NALP reports are going to give you the most realistic picture of the employment outcomes for a UW Madison Law grad.
Law School Numbers main page
2011-12 Cycle Applicants/Graph
2010-11 Cycle Applicants/Graph
2009-10 Cycle Applicants/Graph
2008-2009 Cycle Applicants/Graph
2007-2008 Cycle Applicants/Graph
US News Rank #35
Fabulous and beautiful Madison, WI (/native bias)
77 miles surrounded by reality - this is not an exaggeration.
It gets really cold here. We had a freakishly warm winter last year so don't believe anything an out-of-state 1L tells you. It also snows a lot, although not quite as much as it does in the Twin Cities.
Transportation Notes
Madison Metro - you can live here without a car and be fine. I wouldn't recommend it because you'll rarely leave Downtown Madison, but it's possible.
Dane County Airport - It's nice to fly in/out of but inventory is limited and there are rarely super cheap fare sales. Most people use this bus to O'Hare, that same bus to O'Hare and then train to Midway, or drive to O'Hare, Midway, or Milwaukee to fly on the cheap.

