nLab Jonathan Beardsley

Assistant Professor of mathematics at the University of Nevada, Reno.

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Selected writings

On Ravenel's spectra $X(n)$:

• Jonathan Beardsley, A Theorem on Multiplicative Cell Attachments with an Application to Ravenel’s $X(n)$ Spectra, Journal of Homotopy and Related Structures volume 14, pages 611–624 (2019) (arXiv:1708.03042, doi:10.1007/s40062-018-0222-6)

• Jonathan Beardsley, Topological Hochschild homology of $X(n)$ (arXiv:1708.09486)

On configuration spaces of points and a possible Galois group over the sphere spectrum:

• Jack Morava, Jonathan Beardsley, Toward a Galois theory of the integers over the sphere spectrum, Journal of Geometry and Physics Volume 131, September 2018, Pages 41-51 (arXiv:1710.05992, doi:10.1016/j.geomphys.2018.04.011)

On the enriched Grothendieck construction:

• Jonathan Beardsley, Liang Ze Wong, The Enriched Grothendieck Construction, Advances in Mathematics 344 (2019) 234-261 [arXiv:1804.03829, doi:10.1016/j.aim.2018.12.009]

• Jonathan Beardsley, Liang Ze Wong, The operadic nerve, relative nerve and the Grothendieck construction, Theory and Applications of Categories, 34 13 (2019) 349-374 [tac:34-13]

On G-structure for $G = Br_\infty$ the infinite braid group:

• Jonathan Beardsley, On Braids and Cobordism Theories, Glasgow (2022) [notes: pdf, pdf]

On Koszul duality in higher topos theory:

• Jonathan Beardsley, Maximilien Péroux: Koszul Duality in Higher Topoi, Homology, Homotopy and Applications, 25 1 (2023) 53–70 [arXiv:1909.11724, pdf]

On projective geometry viewed in terms of modules over the “field with one element”:

• Jonathan Beardsley, So Nakamura, Projective geometries and simple pointed matroids as $\mathbb{F}_1$-modules [arXiv:2404.04730]

On a notion of Eilenberg-MacLane spectrum for the field with one element:

• Jonathan Beardsley: The Eilenberg-MacLane Spectrum of $\mathbb{F}_1$ [arXiv:2508.01524]

Related entries

• Grothendieck construction

category: people