For me, at least, once I understand it, the notation makes perfect sense and I find it far more expeditious and precise to express my idea in the domain languag

For me, at least, once I understand it, the notation makes perfect sense and I find it far more expeditious and precise to express my idea in the domain language of the field. The problem is that getting to the point of becoming proficient in the formalism of a field can take an extremely long time (for me), and has the unfortunate side effect of making me feel like a total idiot for not understanding it sooner, once I understand it. The fact is, mathematics deals with constructs with extremely specific properties. These properties can be completely and soundly stated without ambiguity quite succinctly in the formalism of the field. Once I'm comfortable with the formalism, trying to express it in English is awkward, imprecise, and generally just extremely verbose. It can then be a frustrating experience going back and convey the idea to colleagues or others in prose. When I come across some academic mathematics paper, even if I'm somewhat familiar with the field, I generally find other things far more interesting, like the coffee stain on the floor. Effectively reading a mathematics paper requires a print out and a pencil to work through some of the definitions and take notes for yourself, and maintaining laser-like focus for a sustained period of time (more intense than programming a rather difficult problem, imo).