nLab J. D. Quigley

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Selected writings

On the topological Hochschild homology of Ravenel spectra:

• Gabe Angelini-Knoll, J. D. Quigley: The Segal Conjecture for topological Hochschild homology of the Ravenel spectra, Journal of Topology 4 3 (2011) 591-622 [doi:10.1112/jtopol/jtr015, arXiv:1705.03343]

On the Boardman homomorphism (generalized Hurewicz homomorphism) to tmf:

• Mark Behrens, Mark Mahowald, J. D. Quigley: The 2-primary Hurewicz image of $tmf$, Geometry & Topology 27 (2023) 2763–2831 [arXiv:2011.08956, doi:10.2140/gt.2023.27.2763]

On Tambara functors:

• Michael Hill, David Mehrle, J. D. Quigley: Free incomplete Tambara functors are almost never flat, International Mathematics Research Notices 2023 5 (2023) [arXiv:2105.11513, doi:10.1093/imrn/rnab361]

• David Mehrle, J. D. Quigley, Michael Stahlhauer: Koszul Resolutions over Free Incomplete Tambara Functors for Cyclic $p$-Groups [arXiv:2407.18382]

and Mackey functors:

• David Mehrle, J. D. Quigley, Michael Stahlhauer: Pathological Computations of Mackey Functor-valued $Tor$ over Cyclic Groups [arXiv:2410.11974]

On homotopy groups of spheres:

• Prasit Bhattacharya, Irina Bobkova, J. D. Quigley: New infinite families in the stable homotopy groups of spheres (2024) [arXiv:2404.10062]

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