Benjamin Steinberg
Distinguished Professor of Mathematics  ·  City College of New York
Selected Publications

Selected Publications

  1. E. Gardella, V. Nekrashevych, B. Steinberg and A. Vdovina, Simplicity of C*-algebras of contracting self-similar groups, Commun. Math. Phys. 406, No. 10, Paper No. 251, 17 p. (2025).
  2. B. Steinberg and N. Szakacs, On the simplicity of Nekrashevych algebras of contracting self-similar groups, Math. Ann. 386 (2023), 1391–1428.
  3. B. Armstrong, G. G. de Castro, L. O. Clark, K. Courtney, Y. F. Lin, K. McCormick, J. Ramagge, A. Sims and B. Steinberg, Reconstruction of twisted Steinberg algebras, Int. Math. Res. Not. IMRN (2023), 2474–2542.
  4. R. Gray and B. Steinberg, A Lyndon's identity theorem for one-relator monoids, Selecta Math. (N.S.) 28 (2022), no. 3, Paper No. 59.
  5. S. W. Margolis, F. Saliola and B. Steinberg, Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry, Mem. Amer. Math. Soc. 274 (2021), no. 1345, iii–135.
  6. B. Steinberg and N. Szakacs, Simplicity of inverse semigroup and etale groupoid algebras, Adv. in Math. 380 (2021), 107611.
  7. S. J. v. Gool and B. Steinberg, Pointlike sets for varieties determined by groups, Adv. in Math. 348 (2019), 18–50.
  8. S. W. Margolis, F. Saliola and B. Steinberg, Combinatorial topology and the global dimension of algebras arising in combinatorics, J. Eur. Math. Soc. 17 (2015), 3037–3080.
  9. S. W. Margolis and B. Steinberg, Quivers of monoids with basic algebras, Compositio Mathematica 148 (2012), 1516–1560.
  10. K. Henckell, J. Rhodes and B. Steinberg, An effective lower bound for group complexity of finite semigroups and automata, Trans. Amer. Math. Soc. 364 (2012), 1815–1857.
  11. A. Costa and B. Steinberg, Profinite groups associated to sofic shifts are free, Proc. London Math. Soc. 102 (2011), 370–394.
  12. B. Steinberg, A groupoid approach to discrete inverse semigroup algebras, Adv. in Math. 223 (2010), 689–727.
  13. J. Almeida, S. W. Margolis, B. Steinberg and M. V. Volkov, Representation theory of finite semigroups, semigroup radicals and formal language theory, Trans. Amer. Math. Soc. 361 (2009), 1429–1461.
  14. B. Steinberg, Möbius functions and semigroup representation theory II: Character formulas and multiplicities, Adv. in Math. 217 (2008), 1521–1557.
  15. J. Rhodes and B. Steinberg, Closed subgroups of free profinite monoids are projective profinite groups, Bulletin of the London Math. Soc. 40 (2008), 375–383.
  16. K. Auinger and B. Steinberg, Varieties of finite supersolvable groups with the M. Hall property, Math. Ann. 335 (2006), 853–877.
  17. K. Auinger and B. Steinberg, The geometry of profinite graphs with applications to free groups and finite monoids, Trans. Amer. Math. Soc. 356 (2004), 805–851.
  18. B. Steinberg, Finite state automata: A geometric approach, Trans. Amer. Math. Soc. 353 (2001), 3409–3464.
arXiv Preprints → Full CV (PDF)

Most recent papers are available on the arXiv. Electronic copies of other papers can be sent on request.