Jonathan Beardsley

Research     Teaching     Other

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.