There was a reddit post with little attention about how teams have fared against teams with a Heisman winner, and I unwittingly got myself into a lot of research by compiling our record in such games.
I haven't seen this research compiled anywhere else (only Michigan vs. OSU Heisman winners), so I'm posting it here for the submarine times. If anyone has additions/corrections, I'd be happy to update. This is mostly copied/pasted from the reddit post, with a few additions.
Against Heisman winners the year they won the Heisman Michigan is 5 - 13
Against teams that contained a current, future, or past Heisman winner as a significant contributor, Michigan is 19 - 24 - 2
Against teams with a current, future, or past Heisman winner enrolled at their school, Michigan is 21 - 26 - 3
Games compiled with * representing a year that a Heisman winner contributed to the team, but did not win the Heisman that year:
Included the table here for continuity's sake, but you can see it with slightly less JPEG below, or follow this link: Michigan Vs. Heisman winners.jpg
Non-significant contributions (will fall under "enrolled" record):
-Troy Smith was not a significant contributor to '03* Ohio State (win for Michigan)
-'92* Ohio State - Eddie George only had 37 carries for that team. The game was a tie.
-'91* #1 Florida State - Charlie Ward only had 9 attempted passes for that team. Who cares about the game result :'D
-'84* against #1 Miami - Testaverde only had 34 attempts for that team. This was a win.
-'75 against #3 Oklahoma - Billy Sims only played in one game for that team. Michigan lost.
Other Notes/Interesting facts:
-I don't know why I did all of this
-Really don't like Archie Griffin
-Somehow Michigan avoided playing Wisconsin for all four years of '53 Heisman Winner Alan Ameche's career
-"Significant contributions" are hard to track pre-1970 so if someone offers an argument for any of those determinations at all I will update
-'55 and '56 victories over Army are a bit dubious, as Pete Dawkins would have been a freshman/sophomore. I can't prove he contributed much to these teams. But who cares, we need W's.
-Are Michigan's victories over Nile Kinnick the reason we are cursed in Iowa City? Or is it the pink locker room?!?!?!?!?!?!?!?!?!?!?!?!?!?
-Michigan's current streak of 10 years without playing a Heisman winner is the longest since the creation of the award in 1935
BONUS (including Michigan Heisman winners):
So, it's not really fair to count up Michigan's games against Heisman winners without considering that we have a few of those ourselves. The results here aren't super significant, since this includes games against potentially sub-par teams. Sub-par teams wouldn't be likely to be included in the list compiled for teams we played against with a Heisman winner--you can assume if the team has a Heisman winner on the roster, that they are at least somewhat competitive--whereas they would while Michigan is sporting a Heisman winner. However for fun, and better records:
In games Michigan played containing a Heisman winner the year they won the Heisman, Michigan is 34 - 16
Containing a current, future, or past Heisman winner as a significant contributor, Michigan is 83 - 40 - 4
In games with a Heisman winner enrolled at either school Michigan is 95 - 43 - 4
Heisman Year (Michigan's record):
'97 Woodson (12-0)
'91 Howard (10-2)
'40 Harmon (7-1)
Other years with Heisman winner as significant contributor:
'96 Woodson (8-4)
'95 Woodson (9-4)
'90 Howard (9-3)
'39 Harmon (6-2)
'38 Harmon (6-1-1)
Desmond Howard's 9 catches in the '89 season (10-2) are not seen as a significant contribution
Again, please let me know if you see any corrections to be made, and I will edit this.