According to the Cambridge Dictionary, mine is a pronoun, and refers back to something already mentioned... and my is a determiner, which must be followed by the thing that's yours.
1) How's your thesis going? I've nearly finished mine.
2) I have nearly finished my thesis.
So, if you say
As outlined in mine and Lisa's thesis
mine refers back to something already mentioned: not a thesis, otherwise you could say "mine and Lisa's." - maybe a dissertation. So you are referring to your dissertation and Lisa's thesis.
As outlined in my and her thesis
her refers to somebody that you have already mentioned or the listener already knows about. Writing my and her sounds like you are talking about two separate theses. If it's just one thesis that you jointly wrote,it would be better to say our.
Note that it is conventional to put your own pronoun last- in this case her and my.
As outlined in my and Lisa's thesis
This would work if Lisa had not already been mentioned. You can't say our because the listener doesn't know who you are talking about yet. You should put yourself last Lisa's and my.
