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An informal outline of Noncommutative Geometry (Part III)

Disclaimer: This post is part of a series about Noncommutative Geometry. I do not pretend to be rigorous nor thorough. The main idea is just to cover (in a rather informal way) the main concepts. The fuzzy sphere is a really nice example of how the Noncommutative Gel’fand-Naimark Theorem (NCGNT) can be used to defineContinue reading “An informal outline of Noncommutative Geometry (Part III)”

Baker’s Theorem and the Class Number Problem (Part 2)

Disclaimer: This post is the second of a set of three(ish) about Baker’s Theorem and the Class Number Problem. It is intended to be informative and not too rigorous. Find part one here! In this post, I’ll introduce the Class Number Problem, before (eventually) pulling these posts together and seeing how Baker’s Theorem is relevantContinue reading “Baker’s Theorem and the Class Number Problem (Part 2)”

A whirlwind tour through Quantum Field Theory to Conformal Field Theory

This is designed as a very casual introduction, there are many aspects which are brushed over and ignored. This is because either it isn’t specifically relevant or I didn’t want to bog down the post with unnecessary minutia when the motivation is just to give one an idea of the subject. There are no referencesContinue reading “A whirlwind tour through Quantum Field Theory to Conformal Field Theory”

Baker’s Theorem and the Class Number Problem (Part 1)

Disclaimer: This post is the first of a set of three(ish) about Baker’s Theorem and the Class Number Problem. It is intended to be informative and not too rigorous. Over roughly 3 posts, I aim to introduce Baker’s Theorem, the Class Number Problem, and then discuss how Baker’s methods solved part of the problem. InContinue reading “Baker’s Theorem and the Class Number Problem (Part 1)”

An informal outline of Noncommutative Geometry (Part II)

Disclaimer: This post is part of a series about Noncommutative Geometry. I do not pretend to be rigorous nor thorough. The main idea is just to cover (in a rather informal way) the main concepts. In the first part of this series, I mentioned that Noncommutative Geometry (NCG) can be rather opaque because the notionContinue reading “An informal outline of Noncommutative Geometry (Part II)”

An informal outline of Noncommutative Geometry (Part I)

Disclaimer: This post is part of a series about Noncommutative Geometry. I do not pretend to be rigorous nor thorough. The main idea is just to cover (in a rather informal way) the main concepts. General Relativity might be one of the most beautiful and powerful theories produced by mankind to this day. However, itContinue reading “An informal outline of Noncommutative Geometry (Part I)”


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