Most of my papers are available on the arXiv here.

## Research Papers

**Skeleta and categories of algebras**, with Tyler Lawson. Submitted, (arXiv).
**On Bialgebras, Comodules, Descent Data and Thom Spectra in ∞-categories**. Submitted, (arXiv).
**Koszul duality in Higher Topoi**, with Maximilien Péroux. Forthcoming in *Homology, Homotopy and Applications* (arXiv).
**The Operadic Nerve, Relative Nerve, and the Grothendieck Construction**, with Liang Ze Wong. Published in *Theory and Applications of Categories* (arXiv).
**The Enriched Grothendieck Construction**, with Liang Ze Wong. Published in *Advances in Mathematics* (arXiv).
**Toward a Galois Theory of the Integers Over the Sphere Spectrum**, with Jack Morava. Published in *Journal of Geometry and Physics* (arXiv).
**A Theorem on Multiplicative Cell Attachments with an Application to Ravenel's X(n) Spectra**. Published in *Journal of Homotopy and Related Structures* (arXiv).
**Relative Thom Spectra Via Operadic Kan Extensions**. Published in *Algebraic and Geometric Topology* (arXiv).
**A Sheaf of Boehmians**, with Piotr Mikusinski. Published in *Annales Polonici Mathematici * (arXiv).
## Other Writing

**A User's Guide: Relative Thom Spectra via Operadic Kan Extensions:** An exposition of the main ideas in my paper "Relative Thom Spectra via Operadic Kan Extensions," accessible to graduate students studying homotopy theory.
**Notes on Lubin-Tate Cohomology:** Some notes about the cohomology of a complex that comes up in deformations of formal groups as well as extensions of n-buds.
**THH of X(n):** A computation of the Topological Hochschild Homology of Ravenel's X(n) spectra.
**The Harmonic Bousfield Lattice:** A computation of the Bousfield lattice of the category of p-local harmonic spectra. The main theorem and proof were used by Luke Wolcott here.
## Talk Slides

Some Galois Theory for Bordism Homology given in the UNR Mathematics and Statistics Colloquium.
On the PROB of Singular Braids given at The Third Conference on Operad Theory and Related Topics.
Symmetry, Topology and the Nobel Prize, slides for an expository talk on topological phases of matter.
Twisted Forms in Homotopy Theory.
Bialgebras in Spectra.