leuschke.org

Research/Papers and Books

For each paper below, you can either download the PDF version directly from the link provided, or click on the title to go to that paper’s own little page, which has the abstract, MR reference information, and some notes about the paper.

  1. Semidualizing Modules and Gorenstein Presentations, with David Jorgensen and Sean Sather-Wagstaff, in preparation
  2. Non-commutative Desingularization of Determinantal Varieties I, with Ragnar-Olaf Buchweitz and Michel Van den Bergh, in preparation
  3. 24 Hours Of Local Cohomology, with Srikanth Iyengar, Anton Leykin, Claudia Miller, Ezra Miller, Anurag K. Singh, and Uli Walther, Graduate Studies in Mathematics 87, AMS 2007
  4. On the Growth of the Betti Sequence of the Canonical Module, with David Jorgensen, Math. Z. 256 (2007), no. 3, pp. 647—659 (pdf, erratum pdf)
  5. Factoring the Adjoint and Maximal Cohen-Macaulay Modules over the Generic Determinant, with Ragnar-Olaf Buchweitz, Amer. J. Math. 129 (2007), no. 4, pp. 943—981 (pdf)
  6. Endomorphism rings of finite global dimension, Canadian J. Math. 59 (2007), no. 2, pp. 332–−342 (pdf)
  7. Appendix: Some Examples in Tight Closure, in Trends in Commutative Algebra, MSRI Publications 51. (pdf)
  8. Local Rings of Bounded Cohen-Macaulay Type, with Roger Wiegand, Algebras and Representation Theory 8 (2005), no. 2, 225—238. (pdf)
  9. Hypersurfaces of Bounded Cohen-Macaulay Type, with Roger Wiegand, J. Pure Appl. Algebra 201 (2005) Issue 1–3, 204—217. (pdf, addendum pdf)
  10. On a Conjecture of Auslander and Reiten, with Craig Huneke, J. Algebra 275 (2004), no. 2, 781—790. (pdf)
  11. The F-Signature and strong F-Regularity, with Ian Aberbach, Math. Res. Letters 10 (2003), no. 1, 51—56. (pdf)
  12. Local Rings of Countable Cohen-Macaulay Type, with Craig Huneke, Proc. Amer. Math. Soc. 131 (2003), 3003–3007. (pdf)
  13. Two Theorems About Maximal Cohen-Macaulay Modules, with Craig Huneke, Math. Annalen 324 (2002), no. 2, pages 391–404. (pdf)
  14. Gorenstein modules, finite index and finite Cohen-Macaulay type, Communications in Algebra, 30(4) (2002), 2023–2035. (pdf)
  15. Mixed-Characteristic hypersurfaces of finite Cohen-Macaulay type, J. Pure and Appl. Algebra 167 (2002), Issue 2–3, pages 225–257. (pdf)
  16. Ascent of finite Cohen-Macaulay type, with Roger Wiegand, J. Algebra 228 (2000), no. 2, pages 674–681. (pdf)