I have the impression that astronomy is a subject that runs parallel to physics but it is outside the physics field. This is based on the division of departments present in many universities: the department of physics being separated from the department of astronomy. The difference between cosmology and astrophysics is more obscure to me. I have the impression, though, that cosmology is more concerned with the structure of spacetime and universe models while astrophysics is more concerned with stellar life cycles, physical properties of stars, galaxies etc.
Which is the field that had more activity/ scientific breakthroughs recently?
In real life, are those classifications even important? Are there many differences between the education process of a future astronomer, astrophysicist or cosmologist?
Somebody, please, give examples of famous astrophysicists, cosmologists and astronomers at the present time.