Resources for mathematician trying to develop (macro)economic thinking? I have a 'hobbyist' interest in economics (read several popular science econ books and listen to a lot of podcasts). 

Recently I've been trying to take this further by looking at courses in economics. I have a strong maths background (PhD in stats), and I find a lot of early undergraduate courses interesting, but they often seem to ignore the underlying maths, so feel like they are missing out some important detail. On the other hand, I find graduate level courses a good level but feel like they don't build my economics 'intuition'; which I get the impression is very important to develop economic thinking.

My question is are there any resources that offer a good balance between the two? I'm particularly interested in macro, but any micro resources would also be interesting.
You might be interested in David Romer's Advanced Macroeconomics. It's a grad-level textbook that includes grad-level math, but the focus is off the math and on the intuition. It doesn't spend much time going over certain tools, like dynamic programming, so it gets a bit hand-wave-y at some points, but it sounds like this might be the right balance for you.