• 198 Citations
  • 7 h-Index
20002019
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Research Output 2000 2016

  • 198 Citations
  • 7 h-Index
  • 18 Article
  • 1 Chapter
2016
3 Citations

Non-commutative Desingularization of Determinantal Varieties, II: Arbitrary Minors

Buchweitz, R. O., Leuschke, G. J. & Van Den Bergh, M., 2016, In : International Mathematics Research Notices. 2016, 9, p. 2748-2812 65 p.

Research output: Contribution to journalArticle

Desingularization
Minor
Arbitrary
Derived Category
Zero
2015
7 Citations

On the derived category of Grassmannians in arbitrary characteristic

Buchweitz, R. O., Leuschke, G. J. & Van Den Bergh, M., Jul 25 2015, In : Compositio Mathematica. 151, 7, p. 1242-1264 23 p.

Research output: Contribution to journalArticle

Derived Category
Tilting
Grassmannian
Bundle
Simple Module
2013

Brauer-Thrall theory for maximal Cohen-Macaulay modules

Leuschke, G. J. & Wiegand, R., Nov 1 2013, Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday. Springer New York, p. 577-592 16 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Cohen-Macaulay Module
Cohen-Macaulay Ring
Module
Representation Type
Local Ring
2012
9 Citations

Presentations of rings with non-trivial semidualizing modules

Jorgensen, D. A., Leuschke, G. J. & Sather-Wagstaff, S., May 2012, In : Collectanea Mathematica. 63, 2, p. 165-180 16 p.

Research output: Contribution to journalArticle

Gorenstein Ring
Homomorphic
Local Ring
Ring
Module
2011
2 Citations

Wild hypersurfaces

Crabbe, A. & Leuschke, G. J., Dec 2011, In : Journal of Pure and Applied Algebra. 215, 12, p. 2884-2891 8 p.

Research output: Contribution to journalArticle

Cohen-Macaulay
Hypersurface
Multiplicity
2010
13 Citations

Non-commutative desingularization of determinantal varieties I

Buchweitz, R. O., Leuschke, G. J. & van den Bergh, M., 2010, In : Inventiones Mathematicae. 182, 1, p. 47-115 69 p.

Research output: Contribution to journalArticle

Desingularization
Cohen-Macaulay Module
Global Dimension
Endomorphism Ring
Cohen-Macaulay
2008
Canonical Module
2007
16 Citations

Endomorphism rings of finite global dimension

Leuschke, G. J., Apr 2007, In : Canadian Journal of Mathematics. 59, 2, p. 332-342 11 p.

Research output: Contribution to journalArticle

Global Dimension
Endomorphism Ring
Resolution of Singularities
Local Ring
Algebra
3 Citations

Factoring the adjoint and maximal Cohen-Macaulay modules over the generic determinant

Buchweitz, R. O. & Leuschke, G. J., Aug 2007, In : American Journal of Mathematics. 129, 4, p. 943-981 39 p.

Research output: Contribution to journalArticle

Cohen-Macaulay Module
Factoring
Factorization
Determinant
Square matrix
7 Citations

On the growth of the Betti sequence of the canonical module

Jorgensen, D. A. & Leuschke, G. J., Jul 2007, In : Mathematische Zeitschrift. 256, 3, p. 647-659 13 p.

Research output: Contribution to journalArticle

Canonical Module
Cohen-Macaulay Ring
Gorenstein
Ring
Exponential Growth
2005
3 Citations

Hypersurfaces of bounded Cohen-Macaulay type

Leuschke, G. J. & Wiegand, R., Oct 1 2005, In : Journal of Pure and Applied Algebra. 201, 1-3, p. 204-217 14 p.

Research output: Contribution to journalArticle

Cohen-Macaulay
Hypersurface
Ring
Cohen-Macaulay Module
Formal Power Series
7 Citations

Local rings of bounded Cohen-Macaulay type

Leuschke, G. J. & Wiegand, R., May 2005, In : Algebras and Representation Theory. 8, 2, p. 225-238 14 p.

Research output: Contribution to journalArticle

Cohen-Macaulay
Local Ring
Ring
Cohen-Macaulay Ring
Ascent
2004
21 Citations

On a conjecture of Auslander and Reiten

Huneke, C. & Leuschke, G. J., May 15 2004, In : Journal of Algebra. 275, 2, p. 781-790 10 p.

Research output: Contribution to journalArticle

Artin Algebras
Ring
Cohen-Macaulay
Generator
Generalization
2003
5 Citations

Local rings of countable cohen-macaulay type

Huneke, C. & Leuschke, G. J., Oct 2003, In : Proceedings of the American Mathematical Society. 131, 10, p. 3003-3007 5 p.

Research output: Contribution to journalArticle

Cohen-Macaulay
Local Ring
Countable
Cohen-Macaulay Ring
Locus
30 Citations

The F-signature and strong F-regularity

Aberbach, I. M. & Leuschke, G. J., Jan 2003, In : Mathematical Research Letters. 10, 1, p. 51-56 6 p.

Research output: Contribution to journalArticle

Local Ring
Signature
Regularity
If and only if
Ring
2002
3 Citations

Gorenstein modules, finite index, and finite Cohen-Macaulay type

Leuschke, G. J., Apr 2002, In : Communications in Algebra. 30, 4, p. 2023-2035 13 p.

Research output: Contribution to journalArticle

Cohen-Macaulay
Gorenstein
Module
Cohen-Macaulay Ring
Local Ring
1 Citations

Mixed characteristic hypersurfaces of finite Cohen-Macaulay type

Leuschke, G. J., Feb 23 2002, In : Journal of Pure and Applied Algebra. 167, 2-3, p. 225-257 33 p.

Research output: Contribution to journalArticle

Cohen-Macaulay
Hypersurface
Singularity
Plane Curve
53 Citations

Two theorems about maximal Cohen-Macaulay modules

Huneke, C. & Leuschke, G. J., 2002, In : Mathematische Annalen. 324, 2, p. 391-404 14 p.

Research output: Contribution to journalArticle

Cohen-Macaulay Module
Cohen-Macaulay Ring
Theorem
Cohen-Macaulay
Gorenstein
2000
15 Citations

Ascent of Finite Cohen-Macaulay type

Leuschke, G. J. & Wiegand, R., Jun 15 2000, In : Journal of Algebra. 228, 2, p. 674-681 8 p.

Research output: Contribution to journalArticle

Ascent
Cohen-Macaulay
Local Ring
Cohen-Macaulay Ring
Completion