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Publications
Here are my publications. The 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 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
Preprints
The following manuscripts are not (yet) published, but the ones marked
with blue bullets are to appear.
This list is also ordered chronologically by the time of writing.
Items mentioned as being "in press" have been through their final proof
reading.
With Yann Palu:
A Caldero-Chapoton map for infinite clusters,
to appear in Trans. Amer. Math. Soc.
Duality for cochain DG algebras,
preprint (2010)
With Thorsten Holm and Dong Yang:
Sparseness of t-structures and negative Calabi-Yau dimension in
triangulated categories generated by a spherical object,
preprint (2011)
With David Pauksztello:
The co-stability manifold of a triangulated category,
to appear in Glasg. Math. J.
With Thorsten Holm:
Realising higher cluster categories of Dynkin type
as stable module categories,
preprint (2011)
With Kiriko Kato:
Triangulated categories of extensions and the Second
Isomorphism Theorem for triangulated categories,
preprint (2012)
With Thorsten Holm:
Cluster tilting vs. weak cluster tilting in Dynkin type A infinity,
preprint (2012)
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
I have also written the following sets of 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 16 January 2012.
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