activity
20132024
most citedA bivariant Yoneda lemma and -categories of correspondences

8 citations · 14 across the 10 of their papers we have counts for

collaborators

13 papers

q-fin.TR2024

Do backrun auctions protect traders?

Andrew W. Macpherson

We study a new "laminated" queueing model for orders on batched trading venues such as decentralised exchanges. The model aims to capture and generalise transaction queueing infras…

math.PR2023

Adversarial blockchain queues and trading on a CFMM

Andrew W. Macpherson

We describe a plausible probabilistic model for a blockchain queueing environment in which rational, profit-maximising schedulers impose adversarial disciplines on incoming message…

math.CT2021

Adjoining colimits

Andrew W. Macpherson

This paper develops a theory of colimit sketches "with constructions" in higher category theory, formalising the input to the ubiquitous procedure of adjoining specified "construct…

math.CT2021

Fibrations and Koszul duality in locally Cartesian localisations

Andrew W. Macpherson

I show that any locally Cartesian left localisation of a presentable infinity-category admits a right proper model structure in which all morphisms are cofibrations, and obtain a K…

math.CT2020

An alternative to hypercovers

Andrew W. Macpherson

I introduce a class of diagrams in a Grothendieck site called "atlases" which can be used to study hyperdescent, and show that hypersheaves take atlases to limits using an indexed…

math.CT2020★ 8 cited

A bivariant Yoneda lemma and -categories of correspondences

Andrew W. Macpherson

Everyone knows that if you have a bivariant homology theory satisfying a base change formula, you get an representation of a category of correspondences. For theories in which the…