I'm currently doing a PhD in mathematics and have been working with my current adviser for almost a year. My adviser is at an advanced age, however, even though he still has a couple of more graduate students apart from me. My work has been going decent, but with oral qualifying examinations coming up, I'm confused if having a co-adviser may be a good idea for me. There are a couple of reasons for me to think so.
First is the fact that my adviser is at an advanced age. Secondly, while my adviser was away for a semester last year, I worked with another faculty member, who recently told me to consider if I wanted him as a co-adviser. I've not spoken about this issue with my adviser yet.
In this situation, I'm really confused about two issues. Firstly, will it be a good idea to have a co-adviser at all in my case, or should I continue having a single adviser while continuing my work with the other faculty member and keep him in my committee? Secondly, if I indeed choose to have a co-adviser, how should I bring it up with my principal adviser so that he doesn't mind? This has left me very confused recently and I'd love to hear some general advise in this situation.