Billy Woods

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

• Bounded skew power series rings for inner \(\sigma\)-derivations
  [arxiv]

  joint work with Adam Jones; submitted in 2024

• Monomial methods in iterated local skew power series rings
  [arxiv]

  in preparation (draft)

• The conjugation action in completed group rings
  [arxiv]

  submitted in 2023

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

  joint work with Adam Jones; J. Pure Appl. Algebra, in press

• Filtered skew derivations on simple artinian rings
  [doi, arxiv]

  joint work with Adam Jones; Israel J. Math., in press

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

  Algebr. Represent. Theory, published online 2022, in press

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

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

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

  Israel 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