Keir Lockridge

Contact Information

Associate Professor
Department of Mathematics
Gettysburg College
Gettysburg, PA 17325
email: [email protected]

Publications

  1. Fuchs' problem for endomorphisms of non-abelian groups, with Sunil Chebolu. J. Algebra 661 (2025) 545–577.
  2. Fuchs' problem for linear groups, with Jacinda (Jacob) Terkel. Comm. Algebra, Vol. 52, No. 7 (2024), pp. 2892-2902.
  3. Fuchs' problem for endomorphisms of abelian groups, with Sunil Chebolu. J. Algebra 635 (2023) 671–688.
  4. Is there an infinite field whose multiplicative group is indecomposable? with Sunil Chebolu. Indian J. Pure Appl. Math., Vol. 54, pp. 398–403 (2023).
  5. Gaussian binomial coefficients in group theory, field theory, and topology with Sunil Chebolu. Amer. Math. Monthly, Vol. 129, No. 5 (2022), pp. 466-473.
  6. Fuchs' problem for $p$-groups with Sunil Chebolu. J. Pure Appl. Algebra 223 (2019) 4652–4666.
  7. How many units can a commutative ring have? with Sunil Chebolu. Amer. Math. Monthly Vol. 124, No. 10 (December 2017), pp. 960-965.
  8. Bousfield localization of ghost maps, with Mark Hovey. Homol. Homotopy Appl. Vol. 19 (2017), No. 1, 371–389.
  9. Fuchs' problem for dihedral groups, with Sunil Chebolu. Errata. J. Pure Appl. Algebra, 221 (2017), no. 2, 971–982.
  10. Fields with indecomposable multiplicative groups, with Sunil Chebolu. Expo. Math. 34 (2016) 237–242.
  11. Fuchs' problem for indecomposable abelian groups, with Sunil Chebolu. J. Algebra 438 (2015) 325–336.
  12. Characterizations of Mersenne and 2-rooted primes, with Sunil Chebolu and Gaywalee Yamskulna, Finite Fields Appl. 35 (2015), 330–351.
  13. Sophie Germain primes and involutions of $\Z_n^\times$, with Karenna Genzlinger. Involve 8-4 (2015), 653–663.
  14. Homological dimensions of ring spectra, with Mark Hovey. Homol. Homotopy Appl. Vol. 15 (2013), No. 2, 53–71.
  15. The ghost and weak dimensions of rings and ring spectra, with Mark Hovey. Israel J. Math. 182 (2011), no. 1, 31–46.
  16. Semisimple ring spectra, with Mark Hovey. New York J. Math. 15 (2009) 219–243.
  17. The ghost dimension of a ring, with Mark Hovey. Proc. Amer. Math. Soc. 137 (2009), 1907–1913.
  18. The generating hypothesis in the derived category of a ring, with Mark Hovey and Gena Puninski. Math. Z., 256 (2007), no. 4, 789–800.
  19. The generating hypothesis in the derived category of $R$-modules. J. Pure Appl. Algebra, 208 (2007), no. 2, 485–495.
  20. The generating hypothesis in general stable homotopy categories. Ph.D. Thesis, University of Washington, 2006.

Other