Historically, mathematics that initially seemed to have little imaginable practical application later become core to various fields of physics and engineering -

Historically, mathematics that initially seemed to have little imaginable practical application later become core to various fields of physics and engineering - non-Euclidean geometry as developed by Gauss-Bolyai-Lobachevsky amd Riemann became the foundation of Einstein's general relativity, number theory became the basis of cryptography (to the likely dismay of GH Hardy), etc. So keep plowing away, mathematicians, at whatever you want to, and don't be surprised if some applied science type picks up the results and uses them for something in the so-called real world (but don't expect many of us to check your proofs, no thanks, taking it all on faith is the norm).