Niles Johnson

Niles Johnson works in algebraic topology and category theory, focusing on how symmetric and braided monoidal categories (abstract structures for organizing objects and the ways they combine) relate to algebraic K-theory, a tool for classifying and comparing algebraic structures. Much of the work develops precise mathematical frameworks (like permutative categories and multicategories) and proves that different ways of formalizing these structures are equivalent, connecting category theory to homotopy theory (the study of shapes up to continuous deformation).

Publication output has been fairly steady over the past decade with a notable spike in 2021, followed by a leveling off to a modest, consistent rate of about 2-3 outputs per year.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026