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Representation Theory of Symmetric Groups
I have written a book (published in 2017) which covers many aspects of the representation theory of the symmetric groups, including: the classical theory of Frobenius and Schur, the extension of the classical results to the setting of Hecke algebras (in the generic case and at q=0), the theory of so-called polynomial functions on Young diagrams, and the applications of this theory to the study of large random integer partitions. You can buy it here (CRC Press) or there (Amazon).
I plan to write a second volume focused on Lie groups instead of symmetric groups, with a similar approach (i.e., recount some recent advances while being auto-contained). However, this will certainly take me a very long time...
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