Reverse chronological. Each paper links its DOI, its
arXiv version, and a PDF, where
the three exist — the earliest papers here predate my getting into the
habit of posting preprints.
Branched covers and matrix factorizations.
With Tim Tribone. Bull. London Math. Soc. 55 (2023),
no. 6, 2907–2927.doi ·
arXiv ·
pdf
Some extensions of theorems of Knörrer and
Herzog–Popescu. With Alex Dugas. J. Algebra
571 (2021), 94–120.doi ·
arXiv ·
pdf
Non-commutative desingularization of determinantal
varieties, II: Arbitrary minors. With Ragnar-Olaf Buchweitz and
Michel Van den Bergh. Int. Math. Res. Not. 2016, no. 9,
2748–2812.doi ·
arXiv ·
pdf(version of 2013-10-01)
On the derived category of Grassmannians in arbitrary
characteristic. With Ragnar-Olaf Buchweitz and Michel Van den Bergh.
Compos. Math. 151 (2015), no. 7,
1242–1264.doi ·
arXiv ·
pdf
Brauer–Thrall theory for maximal
Cohen-Macaulay modules. With Roger Wiegand. In
Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the
Occasion of his 65th Birthday, 577–592, Springer, 2013.doi ·
arXiv ·
pdf
Non-commutative crepant resolutions: scenes from
categorical geometry.In Progress in
Commutative Algebra 1, 293–361, de Gruyter, 2012.doi ·
arXiv ·
pdf(version of 2011-08-22)
Presentations of rings with non-trivial semidualizing
modules. With David Jorgensen and Keri Sather-Wagstaff.
Collect. Math. 63 (2012), no. 2,
165–180.doi ·
arXiv ·
pdf(final version, 8 Oct 2010)
Wild hypersurfaces. With Andrew Crabbe.
J. Pure Appl. Algebra 215 (2011),
2884–2891.doi ·
arXiv ·
pdf(version of 2011-03-08)
Non-commutative desingularization of determinantal
varieties, I: Maximal minors. With Ragnar-Olaf Buchweitz and Michel
Van den Bergh. Invent. Math. 182 (2010), no. 1,
47–115.doi ·
arXiv ·
pdf
Factoring the adjoint and maximal Cohen-Macaulay
modules over the generic determinant. With Ragnar-Olaf Buchweitz.
Amer. J. Math. 129 (2007), no. 4,
943–981.doi ·
arXiv ·
pdf
On the growth of the Betti sequence of the canonical
module. With David Jorgensen. Math. Z. 256
(2007), no. 3, 647–659.doi ·
arXiv ·
pdf ·
erratum
Endomorphism rings of finite global dimension.Canad. J. Math. 59 (2007), no. 2,
332–342.doi ·
arXiv ·
pdf(needs an erratum for Prop. 8)
Appendix: some examples in tight closure.Appendix to “Tight closure theory and
characteristic p methods,” by M. Hochster, in Trends in Commutative
Algebra, MSRI Publications 51, 181–210, Cambridge University
Press, 2004.pdf
Local rings of bounded Cohen-Macaulay type.
With Roger Wiegand. Algebr. Represent. Theory 8 (2005),
no. 2, 225–238.doi ·
arXiv ·
pdf
Hypersurfaces of bounded Cohen-Macaulay type.
With Roger Wiegand. J. Pure Appl. Algebra 201 (2005),
no. 1–3, 204–217.doi ·
arXiv ·
pdf ·
addendum
On a conjecture of Auslander and Reiten. With
Craig Huneke. J. Algebra 275 (2004), no. 2,
781–790.doi ·
arXiv ·
pdf
The F-signature and strong F-regularity. With
Ian Aberbach. Math. Res. Lett. 10 (2003), no. 1,
51–56.doi ·
arXiv ·
pdf
Local rings of countable Cohen-Macaulay type.
With Craig Huneke. Proc. Amer. Math. Soc. 131 (2003),
3003–3007.doi ·
arXiv ·
pdf
Two theorems about maximal Cohen-Macaulay
modules. With Craig Huneke. Math. Ann. 324
(2002), no. 2, 391–404.doi ·
arXiv ·
pdf
Gorenstein modules, finite index, and finite
Cohen-Macaulay type.Comm. Algebra 30 (2002),
no. 4, 2023–2035.doi ·
pdf
Mixed-characteristic hypersurfaces of finite
Cohen-Macaulay type.J. Pure Appl. Algebra 167
(2002), no. 2–3, 225–257.doi ·
pdf
Ascent of finite Cohen-Macaulay type. With
Roger Wiegand. J. Algebra 228 (2000), no. 2,
674–681.doi ·
pdf
Also: my dissertation,
Finite Cohen-Macaulay
Type (Nebraska, 2000). This research has been supported by NSF grants
DMS-0902119 and DMS-0556181, by grants from the NSA, and by the Clay
Mathematics Institute.
