Oh boy you guys. My BS is in math. A+'s in quantum, stat mech, thermodynamics, etc. Here's the way it really is.
1. Higher mathematics --- abstract algebra, linear function theory ---- have application only if by application is meant application to the trivial and useless calculations of theoretical chemists.
2. The bottom line is the so called laws of physics, electromagnetism, quantum mechanics, were made up to explain far simpler phenomena than organic or bio chemistry.
3. The instrumentation which is indespensible to all areas of chemistry is not the result of calculations by chemical physicists. They can sometimes explain spectra, but the instrument that makes the spectra and the correlation of spectra to structure have developed slowly by trial and error.
4. The one indisputable and indespensile application of physics to chemistry is X-ray crystallography.