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math.KT2019
THH and traces of enriched categories
John D. Berman
We prove that topological Hochschild homology (THH) arises from a presheaf of circles on a certain combinatorial category, which gives a universal construction of THH for any enric…
math.AC2019
Interpolation over ZZ and torsion in class groups
John Berman, Daniel Erman
We prove an interpolation result for homogeneous polynomials over the integers, or more generally for PIDs with finite residue fields. Previous proofs of this result use the well-k…
math.CT2019
Higher Lawvere theories
John D. Berman
We survey Lawvere theories at the level of infinity categories, as an alternative framework for higher algebra (rather than infinity operads). From a pedagogical perspective, they…