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111 papers
Higher Gauge Theory
Leron Borsten, Mehran Jalali Farahani, Branislav Jurco +5
This is an invited survey article on higher gauge theory for the Encyclopedia of Mathematical Physics, 2nd edition. In particular, we provide a lightning introduction to higher str…
Hoàng Xuân Sính's Thesis: Categorifying Group Theory
John C. Baez
During what Vietnamese call the American War, Alexander Grothendieck spent three weeks teaching mathematics in and near Hanoi. Hoàng Xuân Sính took notes on his lectures and later…
Motivating Motives
John C. Baez
Underlying the Riemann Hypothesis there is a question whose full answer still eludes us: what do the zeros of the Riemann zeta function really mean? As a step toward answering this…
This Week's Finds in Mathematical Physics (101-150)
John C. Baez
These are the third 50 issues of This Week's Finds of Mathematical Physics, from April 9, 1997 to June 18, 2000. These issues discuss quantum gravity, topological quantum field the…
Young Diagrams and Classical Groups
John C. Baez
Young diagrams are ubiquitous in combinatorics and representation theory. Here we explain these diagrams, focusing on how they are used to classify representations of the symmetric…
A Categorical Framework for Modeling with Stock and Flow Diagrams
John C. Baez, Xiaoyan Li, Sophie Libkind +2
Stock and flow diagrams are already an important tool in epidemiology, but category theory lets us go further and treat these diagrams as mathematical entities in their own right.…