Books

Unitary Quantum Symmetries Lite

Currently writing a book on Quantum Algebra, Topological Phases of Matter, and higher linear algebra with Dave Penneys and Kyle Kawagoe

The book has 3 parts, based on categorical level.

Part I: Hilb: Finite dimensional Hilbert spaces

Chapter 1: Hilbert spaces and operators
Chapter 2: Operator algebras and their modules
Chapter 3: Morita equivalence
Chapter 4: The Temperley-Lieb-Jones algebras
Chapter 5: Basic quantum information
Chapter 6: Lattice models

Part II: 2Hilb: Finite semisimple unitary categories

Part III: 3Hilb: Finite semisimple unitary 2-categories

You may find updates and pre-released chapters through the following link.

• Unitary Quantum Symmetries Lite (with Dave Penneys and Kyle Kawagoe)



Aperionomicon {The Book of Infinity}

Currently writing a some tongue-in-cheek notes on operator algebras, differential geometry, algebraic geometry, topos theory, and condensed math (with Brett Hungar)

One may find a draft of our notes below.

• Apeironomicon {The Book of Infinity} (with Brett Hungar)