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I've been studying differential geometry for about a year (books I've read include An Introduction to Smooth Manifolds and Riemannian Manifolds: An Introduction to Curvature by Lee, and sections of Geometry of Physics by Frankel). I really enjoy reading pages that go into detail about differential geometric aspects, such as gauge theories (Lie groups) or the Aharanov-Bohm Effect (flat connections over Lie groups).

Can anyone recommend books that discuss topics, such as particle physics, from a rigorous differential geometric/mathematical physics perspective? Bonus if it touches on the history of the deveoplment of the theory.

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You can read " Modern Differential Geometry in Gauge Theories" by Anastasios Mallios.

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