<p>Operating the Hubble Telescope requires a very extensive knowledge of math. Very advanced geometries play an important part there. It’s not easy to aim something like that. It’s not like sitting in your front yard pointing a telescope up at the sky. The people on the team that took the Ultra Deep Field images were PhD level astronomers that had a very extensive mathematical knowledge.</p>
<p>The physics of black holes is, in essence, General Relativity. GR requires not only introductory calculus, but also analysis, linear algebra, differential equations, tensor analysis, vector analysis…basically just a lot of math. As well as a formal education in General Relativity, which is also a lot of math.</p>
<p>So…the simple answer to your question is, no, there are not really any fields involving the study/research of space that aren’t very math heavy.</p>