Mmmh, here I would start with quantum fields and symmetries. This is purely mathematical and so mathematicians may enjoy it. For instance, in my habilitation thesis I introduce supersymmetry and its phenomenology from spin-statistics and Noether theorems, the first part of the thesis being purely theoretical and not phenomenological at all. Maybe would a mathematician like it (if you are interested, it is open access, available from here)?
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I will have a look at it :3