immerse
v.v. to put something completely into a liquid so that it is covered. In math, it can also mean to study a subject very deeply and intensely.
v. to submerge an object in a liquid; to involve oneself deeply in a subject or activity. In a mathematical context, it often refers to the process of studying a complex theory or system in great detail.
The teacher told the students to immerse the paper in the water.
To truly understand this complex theorem, you must immerse yourself in the original research papers.
The mathematician spent several months immersed in the history of non-Euclidean geometry, eventually publishing a paper that bridged the gap between classical and modern theories.
Borrowed from Latin immersus, from immergō, from in + mergō.