UMich QR
Department protocols and procedures around QRs
All UMich QR exams in recent history are posted here.
Since none of the topology exams have posted solutions and many of the analysis and complex analysis ones don't either, it is helpful to look at previous students solutions that can be found at these sites. Keep in mind that most of these were written by students and may not be the most efficient solutions possible, additionally they may contain errors. They are meant only as a reference.
Topology:
Topology solutions in the range of 2008-2010 from Ashley Wheeler
Topology solutions in the range of 2012-2015 from Gilad Pagi
Topology solutions in the range of 2005-2014 from Dondi Ellis as well as analysis solutions from 2012-2014
Topology solutions in the range of 2017-2020 from Jasper Liang
Amazing notes by Ying Wang about differential topology
Analysis:
Real Analysis solutions in the range of 2016-2021 by Zach Deiman (Zach also has some more QR strategies on his website)
Complex Analysis solutions in the range of 2016-2020 by Zach Deiman (Zach also has some more QR strategies on his website)
Analysis solutions compiled and written by Sayantan Khan (overleaf doc - ask Sayantan if you want to help contribute!, compiled PDF)
Analysis solutions in the range of 2012-2015 from Harry Richman
Notes by Eamon Quinlan for the analysis exam
Algebra:
Algebra solutions in the range of 2002-2005 from Mel Hochster
When studying for the QRs at Michigan I am finding it useful to keep track of the types of problems and solution strategies I was using in a searchable database along with the content being assessed. You can find the spreadsheet I use here. A lot of the value comes from making such a spreadsheet for yourself as you study.