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The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are
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This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action
Simplicial Methods for Higher Categories
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This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from
Bimonoids for Hyperplane Arrangements
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The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the
Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory
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Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and alg