Research Output 2000 2016

  • 169 Citations
  • 7 h-Index from Scopus
  • 18 Article
  • 1 Chapter
2016
2 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: Research - peer-reviewArticle

Desingularization
Minor
Arbitrary
Zero
Derived Category
2015
5 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: Research - peer-reviewArticle

Derived Category
Tilting
Grassmannian
Bundle
Arbitrary
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: ResearchChapter

Cohen-Macaulay Module
Module
Cohen-Macaulay Ring
Representation Type
Local Ring
2012
7 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: Research - peer-reviewArticle

Ring
Module
Presentation
Gorenstein Ring
Homomorphic
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: Research - peer-reviewArticle

Cohen-Macaulay
Hypersurface
Multiplicity
2010
9 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: Research - peer-reviewArticle

Desingularization
Cohen-Macaulay Module
Global Dimension
Endomorphism Ring
Cohen-Macaulay
2008
2007
13 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: Research - peer-reviewArticle

Global Dimension
Endomorphism Ring
Algebra
Resolution of Singularities
Local Ring
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: Research - peer-reviewArticle

Cohen-Macaulay Module
Factoring
Factorization
Determinant
Square matrix
5 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Cohen-Macaulay
Hypersurface
Ring
Form
Cohen-Macaulay Module
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: Research - peer-reviewArticle

Cohen-Macaulay
Local Ring
Ring
Cohen-Macaulay Ring
Ascent
2004
20 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: Research - peer-reviewArticle

Ring
Artin Algebras
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: Research - peer-reviewArticle

Cohen-Macaulay
Local Ring
Countable
Cohen-Macaulay Ring
Locus
24 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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

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: Research - peer-reviewArticle

Cohen-Macaulay
Hypersurface
Singularity
Plane Curve
Generalization
46 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: Research - peer-reviewArticle

Cohen-Macaulay Module
Theorem
Ring
Cohen-Macaulay Ring
Cohen-Macaulay
2000
14 Citations

Ascent of Finite Cohen-Macaulay type

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

Research output: Research - peer-reviewArticle

Ascent
Cohen-Macaulay
Local Ring
Cohen-Macaulay Ring
Completion