Probably
one of the most underrated and exciting developments in mathematics currently is the expansion of geometric algebra. One of the most amazing realizations in Math is the fact that most fields are actually connected. There's a branch of math that seeks these analogies: Representation theory and its generalization Category theory. They require an advanced stage of mathematical education...but
What if you could do Vector calculus mentally thanks to the addition of new primitives beyond points and lines? A math closer to perception.
"Clifford Algebra, a.k.a. Geometric Algebra, is a most extraordinary synergistic confluence of a diverse range of specialized mathematical fields, each with its own methods and formalisms, all of which find a single unified formalism under Clifford Algebra. It is a unifying language for mathematics, and a revealing language for physics."
Physicists just love it.
An introduction: https://slehar.wordpress.com/2014/03/18/clifford-algebra-a-visual-introduction/
Where to study from: Lectures on Exceptional Lie Groups - J. F. Adams
Books: Alan Macdonald's two books Geometric algebra; Geometric calculus