Billy Woods

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I am interested in noncommutative algebra and related topics. My D.Phil. thesis was on the prime ideals of completed group rings of compact p-adic analytic groups (a.k.a. Iwasawa algebras).

Publications and preprints

  • Skew power series rings over a prime base ring
    [arxiv]

    joint work with Adam Jones; in preparation

  • Fixed rings in quotients of completed group rings
    [arxiv]

    submitted

  • Dimension theory in local skew power series rings
    [arxiv]

    submitted

  • Maximal prime homomorphic images of mod-p Iwasawa algebras
    [doi, arxiv]

    Math. Proc. Camb. Philos. Soc., 171(2), 387--419, 2021

  • On the catenarity of virtually nilpotent mod-p Iwasawa algebras
    [doi, arxiv]

    Isr. J. Math., 238: 501--536, 2020

  • Extensions of almost faithful prime ideals in virtually nilpotent mod-p Iwasawa algebras
    [doi, arxiv]

    Pacific J. Math., 297(2): 477--509, 2018

  • On the structure of virtually nilpotent compact p-adic analytic groups
    [doi, arxiv]

    J. Group Theory, 21(1): 165--188, 2018

Reader-friendly summaries of my papers and preprints, aimed at non-experts, are available here.