Hi, East Mouse. Basically, I think "study" is for some experts to do some research or indepth analysis in the field. And "learn" might refer to some easier process of acquiring knowledge.
And the following is what I have found from google and hope it's useful to you.
如 learn music, learn new words, learn to skate, learn from experience, learn from Lei learn music, learn new words, learn to skate, learn from experience, learn from Lei Fe。
2. study为“学习，研究”，强调学习的过程，指深入系统地学习，带有努力，勤奋的意味。其学习对象往往是科学，艺术和需要深入探讨，研究的问题及学科，不是单纯地获得技巧。如：study medicine, study medicine, study
science, study a map, study engineering, study painti。
下列句子中的learn 和 study均不能互换：
If you study hard, you”ll learn the language well. 如果你努力学习的话，你会把这门语言学好。
He learned traditional Chinese medicine from a famous Chinese doctor. 他跟随一位著名的中国医生学习中医。
She studied late at night. She studied late at night. 她晚上学习到很晚。
He is studying the problem of X-rays. He is studying the problem of X-rays. 他正在研究X射线的问题。
3．在指某学科的“学习”时，或在不需要强调两者的区别时, learn 和study可以换用。如：
How long have you learned/ studied Japanese? Japanese? 你学习日语有多久了？
We must keep on learning/ studying if we do not want to lag behind the times. 如果我们不想落在时代后面的话，就必须不断学习。