Good news: my student Joe Moeller will be taking a job at NIST, the National Institute of Standards and Technology! He’ll be working with Spencer Breiner and Eswaran Subrahmanian on categories in engineering and system design.

Joe Moeller will be talking about his work on ‘network models’ at the online category theory seminar at UNAM on Wednesday October 14th at 18:00 UTC (11 am Pacific Time):

Network Models

Abstract. Networks can be combined in various ways, such as overlaying one on top of another or setting two side by side. We introduce `network models’ to encode these ways of combining networks. Different network models describe different kinds of networks. We show that each network model gives rise to an operad, whose operations are ways of assembling a network of the given kind from smaller parts. Such operads, and their algebras, can serve as tools for designing networks. Technically, a network model is a lax symmetric monoidal functor from the free symmetric monoidal category on some set to Cat, and the construction of the corresponding operad proceeds via a symmetric monoidal version of the Grothendieck construction.

• John Baez, John Foley, Blake Pollard and Joseph Moeller, Network models, Theory and Applications of Categories35 (2020), 700–744.

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The location of Joe’s live talk has been updated—see above!