Milo Moses

I am a first year mathematics graduate student at Caltech.

I did my undergraduate studies in the College of Creative Studies at UC Santa Barbara, where I received a BS in mathematics.

I study the algebraic theory of topological quantum information. Buzzwords: modular tensor categories, braid group representations, topological phases of matter.

I'm writing a book.

Open problem: Is my favorite number 0?

My CV can be found here.

My email is "milo [at] caltech.edu".

In the past I have been a community member at MathOverflow and Math Stack Exchange, as well as a contributor to the nLab.

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Diagram from "A Blueprint for a Topologically Fault-tolerant Quantum Computer" by Bonderson et al.

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Defects on a torus, from "G-Crossed Modularity of Symmetry Enriched Topological Phases" by Babakhani et al.

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Topological computing with the group D4, from "Non-Abelian topological order and anyons on a trapped-ion processor" by Iqbal et al.

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Topological system based on semiconducting nanowires in superconductor, from "Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems" by Sau et al.

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A computation in the language of Topological Quantum Field Theory, from "Modular categories as represenations of the 3-dimensional bordism 2-category", by Bartlett et al.

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Formula in "From Subfactors to Categories and Topology II" by Michael Muger

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If I were a Springer-Verlag Graduate Text in Mathematics, I would be Saunders Mac Lane's Categories for the Working Mathematician.

I provide an array of general ideas useful in a wide variety of fields. Starting from foundations, I illuminate the concepts of category, functor, natural transformation, and duality. I then turn to adjoint functors, which provide a description of universal constructions, an analysis of the representation of functors by sets of morphisms, and a means of manipulating direct and inverse limits.

Which Springer GTM would you be? The Springer GTM Test

Last updated: June 19, 2024