Peter Jørgensen's publications
 
 

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Publications

 

Curriculum Vitae

 


Papers

This list is ordered chronologically by the time of writing.

Serre-duality for Tails(A), Proc. Amer. Math. Soc. 125 (1997), 709-716
Non-commutative graded homological identities, J. London Math. Soc. (2) 57 (1998), 336-350
Local cohomology for non-commutative graded algebras, Comm. Algebra 25 (1997), 575-591
Non-commutative Castelnuovo-Mumford regularity, Math. Proc. Cambridge Phil. Soc. 125 (1999), 203-221
Brown Representability for stable categories, Math. Scand. 85 (1999), 195-218
Properties of AS-Cohen-Macaulay algebras, J. Pure Appl. Algebra 138 (1999), 239-249
Gorenstein homomorphisms of non-commutative rings, J. Algebra 211 (1999), 240-267
Intersection theory on non-commutative surfaces, Trans. Amer. Math. Soc. 352 (2000), 5817-5854
With James Zhang: Gourmet's Guide to Gorensteinness, Adv. Math. 151 (2000), 313-345
Spectra of modules, J. Algebra 244 (2001), 744-784
Triangulated functors, homological functors, tilts, and lifts, Manuscripta Math. 110 (2003), 381-406
Non-commutative curves and their zeta functions, J. Algebra Appl. 1 (2002), 175-199
With Anders Frankild: Foxby equivalence, complete modules, and torsion modules, J. Pure Appl. Algebra 174 (2002), 135-147
With Anders Frankild: Affine equivalence and Gorensteinness, Math. Scand. 95 (2004), 5-22
With Anders Frankild: Gorenstein Differential Graded Algebras, Israel J. Math. 135 (2003), 327-353
With Anders Frankild and Srikanth Iyengar: Dualizing Differential Graded modules and Gorenstein Differential Graded Algebras, J. London Math. Soc. (2) 68 (2003), 288-306
With Anders Frankild: Homological identities for Differential Graded Algebras, J. Algebra 265 (2003), 114-135
Linear free resolutions over non-commutative algebras, Compositio Math. 140 (2004), 1053-1058
Recognizing dualizing complexes, Fund. Math. 176 (2003), 251-259
Auslander-Reiten theory over topological spaces, Comment. Math. Helv. 79 (2004), 160-182
The Auslander-Reiten quiver of a Poincaré duality space, Algebr. Represent. Theory 9 (2006), 323-336
A non-commutative BGG correspondence, Pacific J. Math. 218 (2005), 357-377
Ext vanishing and infinite Auslander-Buchsbaum, Proc. Amer. Math. Soc. 133 (2005), 1335-1341
Auslander-Reiten sequences on schemes, Ark. Mat. 44 (2006), 97-103
Finite flat and projective dimension, Comm. Algebra 33 (2005), 2275-2279
The homotopy category of complexes of projective modules, Adv. Math. 193 (2005), 223-232
Existence of Gorenstein projective resolutions and Tate cohomology, J. Eur. Math. Soc. (JEMS) 9 (2007), 59-76
With Henrik Holm: Cohen-Macaulay homological dimensions, Rend. Sem. Mat. Univ. Padova 117 (2007), 87-112
With Henrik Holm: Semidualizing modules and related Gorenstein homological dimensions, J. Pure Appl. Algebra 205 (2006), 423-445
Symmetry theorems for Ext vanishing, J. Algebra 301 (2006) 224-239
Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad. J. Math. 60 (2008), 379-390
Recollement for Differential Graded Algebras, J. Algebra 299 (2006), 589-601
A new recollement for schemes, Houston J. Math. 35 (2009), 1071-1077
Amplitude inequalities for Differential Graded modules, Forum Math. 22 (2010), 941-948
With Henrik Holm: Compactly generated homotopy categories, Homology, Homotopy Appl. 9 (2007), 257-274
With Henrik Holm: Covers, precovers, and purity, Illinois J. Math. 52 (2008), 691-703
Auslander-Reiten triangles in subcategories, J. K-theory 3 (2009), 583-601
Quotients of cluster categories, Proc. Roy. Soc. Edinburgh Sect. A 140 (2010), 65-81
Reflecting recollements, Osaka J. Math. 47 (2010), 209-213
With Anders J. Frankild: Homological properties of cochain Differential Graded algebras, J. Algebra 320 (2008), 3311-3326
Calabi-Yau categories and Poincaré duality spaces, pp. 399-431 in "Trends in representation theory of algebras and related topics" (edited by Andrzej Skowroński), European Mathematical Society Publishing House, Zürich, 2008
With Thorsten Holm: On the relation between cluster and classical tilting, J. Pure Appl. Algebra 214 (2010), 1523-1533
With Matthew Grime: Compactly generated relative stable categories, Algebr. Represent. Theory 14 (2011), 247-251
With Henrik Holm: Rings without a Gorenstein analogue of the Govorov-Lazard Theorem, Q. J. Math. 62 (2011), 977-988
With Thorsten Holm: On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon, Math. Z. 270 (2012), 277-295
With Henrik Holm: Cotorsion pairs induced by duality pairs, Journal of Commutative Algebra 1 (2009), 621-633
With Kiriko Kato: Symmetric Auslander and Bass categories, Math. Proc. Cambridge Phil. Soc. 250 (2011), 227-240
With Thorsten Holm: Triangulated categories: Definitions, properties and examples, pp. 1-51 in "Triangulated categories" (edited by Holm, Jørgensen, and Rouquier), London Math. Soc. Lecture Note Ser., Vol. 375, Cambridge University Press, Cambridge, 2010
With Yann Palu: A Caldero-Chapoton map for infinite clusters, Trans. Amer. Math. Soc. 365 (2013), 1125-1147
With Thorsten Holm and Martin Rubey: Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type An, J. Algebraic Combin. 34 (2011), 507-523
Duality for cochain DG algebras, Sci. China Ser. A 56 (2013), 79-89
With Thorsten Holm and Dong Yang: Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object, Bull. London Math. Soc. 45 (2013), 120-130
With David Pauksztello: The co-stability manifold of a triangulated category, Glasg. Math. J. 55 (2013), 161-175
With Thorsten Holm: Realising higher cluster categories of Dynkin type as stable module categories, Q. J. Math. 64 (2013), 409-435
With Kiriko Kato: Triangulated subcategories of extensions, stable t-structures, and triangles of recollements, J. Pure Appl. Algebra 219 (2015), 5500-5510
With Thorsten Holm: Cluster tilting vs. weak cluster tilting in Dynkin type A infinity, Forum Math. 27 (2015), 1117-1137
With Thorsten Holm and Martin Rubey: Torsion pairs in cluster tubes, J. Algebraic Combin. 39 (2014), 587-605
With David Pauksztello: Classification of co-slicings and co-t-structures for the Kronecker algebra, J. Pure Appl. Algebra 219 (2015), 569-590
With Thorsten Holm: SL2-tilings and triangulations of the strip, J. Combin. Theory Ser. A 120 (2013), 1817-1834
With Thorsten Holm and Martin Rubey: Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type D, Adv. in Appl. Math. 51 (2013), 583-605
With Christine Bessenrodt and Thorsten Holm: Generalized frieze pattern determinants and higher angulations of polygons, J. Combin. Theory Ser. A 123 (2014), 30-42
With Thorsten Holm: Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object, Nagoya Math. J. 218 (2015), 101-124
With Osamu Iyama and Dong Yang: Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes, Algebra and Number Theory 8 (2014), 2413-2431
With Thorsten Holm: Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object, II, Bull. Sci. Math. 140 (2016), 112-131
Torsion classes and t-structures in higher homological algebra, Internat. Math. Res. Notices 2016 (2016), 3880-3905
With Christine Bessenrodt and Thorsten Holm: All SL2-tilings come from infinite triangulations, Adv. Math. 315 (2017), 194-245
Co-t-structures: The First Decade, pp. 25-36 in "Surveys in Representation Theory of Algebras" (edited by Martsinkovsky, Igusa, and Todorov), Contemporary Mathematics, Vol. 716, Amer. Math. Soc., Providence, RI, 2018
With Sira Gratz and Thorsten Holm: Cluster tilting subcategories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type A, Math. Z. 292 (2019), 33-56
With Karin M. Jacobsen: d-abelian quotients of (d+2)-angulated categories, J. Algebra 521 (2019), 114-136

Preprints

The following manuscripts are not (yet) published, but the ones marked with black boxes are to appear. This list is also ordered chronologically by the time of writing.

With Henrik Holm: Cotorsion pairs in categories of quiver representations, to appear in Kyoto J. Math.
With Martin Herschend and Laertis Vaso: Wide subcategories of d-cluster tilting subcategories, preprint (2017)
With Thorsten Holm: A p-angulated generalisation of Conway and Coxeter's theorem on frieze patterns, to appear in Internat. Math. Res. Notices
With Milen Yakimov: c-vectors of 2-Calabi-Yau categories and Borel subalgebras of 𝖘𝖑, preprint (2017)
Tropical friezes and the index in higher homological algebra, preprint (2018)
With Karin M. Jacobsen: Maximal τ d-rigid pairs, preprint (2018)
With Henrik Holm: Model categories of quiver representations, preprint (2019)

Book edited

"Triangulated categories" (edited by Holm, Jørgensen, and Rouquier), London Math. Soc. Lecture Note Ser., vol. 375, Cambridge University Press, Cambridge, 2010

Unpublished notes

Non-commutative projective geometry, expository notes (1996).
Synthetic commutative algebra, the summary of my Ph.D. thesis (1997).
Homological algebra, the slides from a lecture series given at Osaka Prefecture University (2008).

This page was last updated on 17 April 2019.