Recommendation for a research topic relating Algebra and other topics.

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As part of a seminar in Algebra I'm doing a lecture, and I have the option to pick a subject. I want to research a topic that is related to my points of interests, and wondering if you have some recommendations for a book, or a paper that combines methods in Algebra to topics in:

  • Measure Theory

  • Mathematical Logic or Model Theory

Or some other interesting, but fitting for an undergraduate course, topic in general analysis.

I've started researching some books in Algebraic Logic, and downloaded "The Mathematics of Metamathematics".