Files

Here you can find the syllabus and a TeX homework template.

• Syllabus
• TeX template

Here are notes from this semester.

• Motivational charts for the course
• Notes on finite dimensional Hilbert spaces and operator algebras
• Notes on (unitary) categories and 2-vector/Hilbert spaces
• Notes in progress on (unitary) tensor categories
• Notes in progress on (unitary) 2-categories

Here are notes from my Topological Phases of Matter course from Spring 2021.

• Notes on finite dimensional operator algebras
• Notes on basic quantum information
• Notes on lattice models
• Notes on fusion categories
• Notes in progress on quantum constructions from unitary fusion categories
• Notes on unitary modular tensor categories
• Synoptic chart of tensor categories [animated video]
• Notes on 2-categories
• Notes on 3-categories
• Notes in progress on Phase transitions

Here are other helpful links.

• Quantum information meets quantum matter, Bei Zeng, Xie Chen, Duan-Lu Zhou, Xiao-Gang Wen
• Topological Quantum Computation, Zhenghan Wang
• Topological Quantum: Lecture Notes and Proto-Book, Steven H. Simon

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