3 papers
math.CT2019
The operad that corepresents enrichment
Andrew W. Macpherson
I show that the theories of enrichment in a monoidal infinity-category defined by Hinich and by Gepner-Haugseng agree, and that the identification is unique. Among other things, th…
math.AG2015
Affine manifolds are rigid analytic spaces in characteristic one, II
Andrew W. Macpherson
I extend the framework of rigid analytic geometry to the setting of algebraic geometry relative to monoids, and study the associated notions of separated, proper, and overconvergen…
math.AG2015
Affine manifolds are rigid analytic spaces in characteristic one, I
Andrew W. Macpherson
I extend the definitions of schemes relative to monoids with zero - and therefore, toric geometry - to the world of formal schemes. This expands the usual framework to include, for…