Research

Overview:

My recent work has been focused on N-infinity operads and equivariant symmetric monoidal categories.
I am particularly interested in using these categories to model equivariant spectra.
I am also interested in their role in the foundations of equivariant homotopy theory.

Here is my Ph.D. thesis.

Papers and Preprints:

Enriched model categories in equivariant contexts. (with Bertrand Guillou and Peter May). Homology, Homotopy, and Applications, 21 (2019), no. 1, pp. 213-246.

Categorifying the algebra of indexing systems. Preprint, arXiv:1909.11739.

Characterizations of equivariant Steiner and linear isometries operads. Preprint, arXiv:1903.08723.

Normed symmetric monoidal categories. Preprint, arXiv:1708.04777.

Combinatorial N-infinity operads. Preprint, arXiv:1705.03585.

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