This is a catalogue of the intersection of the mathematics and physics I find interesting and the things I think I can give a half-reasonable explanation of.

The themes that really interest me are alternative perspectives on analysis and geometry (divergent series, non-standard analysis, Henstock-Kurzweil gauge integral, Grassmanian geometry), geometry of physics (principle of least action, Poisson brackets), symmetry – conservation and breaking (Lie groups and algebras, Noether’s theorem, group theory and particle multiplets, Goldstone bosons, quantum decoherence and einselection, CPT theorem, arrow of time), quantum chemistry (first principles models of atoms and molecules, bonds and bands, states of matter, reaction rates, electromagnetic radiation and computational approaches).

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