====== Keir Lockridge ======

===== Contact Information =====
~~NOTOC~~
Associate Professor \\
Department of Mathematics \\
Gettysburg College \\
Gettysburg, PA 17325 \\
//email//: klockrid@gettysburg.edu

====== Publications ======

  -[[https://gbm.cocalc.cloud/keir/research/papers/fpenag.pdf|Fuchs' problem for endomorphisms of non-abelian groups]], with Sunil Chebolu. //J. Algebra// 661 (2025) 545–577.
  -[[https://gbm.cocalc.cloud/keir/research/papers/FPLG-CA.pdf|Fuchs' problem for linear groups]], with Jacinda (Jacob) Terkel. //Comm. Algebra//, Vol. 52, No. 7 (2024), pp. 2892-2902.
  -[[https://gbm.cocalc.cloud/keir/research/papers/FPEAG.pdf|Fuchs' problem for endomorphisms of abelian groups]], with Sunil Chebolu. //J. Algebra// 635 (2023) 671–688.
  -[[https://gbm.cocalc.cloud/keir/research/papers/FieldsConj.pdf|Is there an infinite field whose multiplicative group is indecomposable?]] with Sunil Chebolu. //Indian J. Pure Appl. Math.//,  Vol. 54, pp. 398–403 (2023).
  -[[https://gbm.cocalc.cloud/keir/research/papers/gb-final.pdf|Gaussian binomial coefficients in group theory, field theory, and topology]] with Sunil Chebolu. //Amer. Math. Monthly//, Vol. 129, No. 5 (2022), pp. 466-473.
  -[[https://gbm.cocalc.cloud/keir/research/papers/fuchsp.pdf | Fuchs' problem for $p$-groups ]] with Sunil Chebolu. //J. Pure Appl. Algebra// 223 (2019) 4652–4666.
  -[[https://gbm.cocalc.cloud/keir/research/papers/amer.math.monthly.124.10.960.pdf | How many units can a commutative ring have? ]] with Sunil Chebolu. //Amer. Math. Monthly// Vol. 124, No. 10 (December 2017), pp. 960-965.
  - [[https://gbm.cocalc.cloud/keir/research/papers/blgm.pdf| Bousfield localization of ghost maps,]] with Mark Hovey. //Homol. Homotopy Appl.// Vol. 19 (2017), No. 1, 371--389.
  - [[https://gbm.cocalc.cloud/keir/research/papers/FuchsDihedral.pdf| Fuchs' problem for dihedral groups]], with Sunil Chebolu. [[Errata#Fuchs'_problem_for_dihedral_groups|Errata]]. //J. Pure Appl. Algebra,// 221 (2017), no. 2, 971--982.
  - [[https://gbm.cocalc.cloud/keir/research/papers/fields.pdf| Fields with indecomposable multiplicative groups]], with Sunil Chebolu. //Expo. Math.// 34 (2016) 237--242.
  - [[https://gbm.cocalc.cloud/keir/research/papers/Fuchs.pdf| Fuchs' problem for indecomposable abelian groups]], with Sunil Chebolu. //J. Algebra// 438 (2015) 325--336.
  - [[https://gbm.cocalc.cloud/keir/research/papers/Mersenne.pdf| Characterizations of Mersenne and 2-rooted primes]], with Sunil Chebolu and Gaywalee Yamskulna, //Finite Fields Appl.// 35 (2015), 330--351.
  - [[https://gbm.cocalc.cloud/keir/research/papers/sgp.pdf| Sophie Germain primes and involutions of $\Z_n^\times$]], with Karenna Genzlinger. //Involve// 8-4 (2015), 653--663.
  - [[https://gbm.cocalc.cloud/keir/research/papers/hdrs.pdf| Homological dimensions of ring spectra]], with Mark Hovey. //Homol. Homotopy Appl.// Vol. 15 (2013), No. 2, 53--71.
  - [[https://gbm.cocalc.cloud/keir/research/papers/gwdrrs.pdf| The ghost and weak dimensions of rings and ring spectra]], with Mark Hovey. //Israel J. Math.// 182 (2011), no. 1, 31--46.
  - [[https://gbm.cocalc.cloud/keir/research/papers/ssrs.pdf| Semisimple ring spectra]], with Mark Hovey. //New York J. Math.// 15 (2009) 219--243.
  - [[https://gbm.cocalc.cloud/keir/research/papers/gdr.pdf| The ghost dimension of a ring]], with Mark Hovey. //Proc. Amer. Math. Soc.// 137 (2009), 1907--1913.
  - [[https://gbm.cocalc.cloud/keir/research/papers/ghdcr.pdf| The generating hypothesis in the derived category of a ring]], with Mark Hovey and Gena Puninski. //Math. Z.//, 256 (2007), no. 4, 789--800.
  - [[https://gbm.cocalc.cloud/keir/research/papers/ghdcrm.pdf| The generating hypothesis in the derived category of $R$-modules]]. //J. Pure Appl. Algebra,// 208 (2007), no. 2, 485--495.
  - //The generating hypothesis in general stable homotopy categories//. Ph.D. Thesis, University of Washington, 2006.

===== Other =====
  * [[desmos#desmos illustrations|Desmos Illustrations]]