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 Henrik Holm: Cotorsion pairs in categories of quiver representations, Kyoto J. Math. 59 (2019), 575-606.
With Martin Herschend and Laertis Vaso: Wide subcategories of d-cluster tilting subcategories, Trans. Amer. Math. Soc. 373 (2020), 2281-2309.
With Thorsten Holm: A p-angulated generalisation of Conway and Coxeter's theorem on frieze patterns, Internat. Math. Res. Notices 2020 (2020), 71-90.
With Milen Yakimov: c-vectors of 2-Calabi-Yau categories and Borel subalgebras of 𝖘𝖑∞, Selecta Math. (N.S.) 26 (2020), Art. 1.
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.
Tropical friezes and the index in higher homological algebra, Math. Proc. Cambridge Philos. Soc. 171 (2021), 23--49.
With Karin M. Jacobsen: Maximal τd-rigid pairs, J. Algebra 546 (2020), 119-134.
With Henrik Holm: Model categories of quiver representations, Adv. Math. 357 (2019), 106826.
With Michael Cuntz and Thorsten Holm: Frieze patterns with coefficients, Forum Math. Sigma 8 (2020), e17.
With Milen Yakimov: Green groupoids of 2-Calabi-Yau categories, derived Picard actions, and hyperplane arrangements, Trans. Amer. Math. Soc. 375 (2022), 7981-8031.
With Martin Herschend: Classification of higher wide subcategories for higher Auslander algebras of type A, J. Pure Appl. Algebra 225 (2021), 106583.
With Ilke Canakci: Friezes, weak friezes, and T-paths, Adv. in Appl. Math. 131 (2021), 102253.
Abelian subcategories of triangulated categories induced by simple minded systems, Math. Z. 301 (2022), 565-592.
With Javad Asadollahi, Sibylle Schroll, and Hipolito Treffinger, On higher torsion classes, Nagoya Math. J. 248 (2022), 823-848.
With Henrik Holm, The Q-shaped derived category of a ring, J. London Math. Soc. (2) 106 (2022), 3263--3316.
With Amit Shah, Grothendieck groups of d-exangulated categories and a modified Caldero-Chapoton map, J. Pure Appl. Algebra 228 (2024), paper no. 107587.
With Amit Shah, The index with respect to a rigid subcategory of a triangulated category, Internat. Math. Res. Notices 2024 (2024), 3278-3309.
With Henrik Holm, The Q-shaped derived category of a ring -- compact and perfect objects, Trans. Amer. Math. Soc. 377 (2024), 3095-3128.
With Thorsten Holm, Weak friezes and frieze pattern determinants, Proc. Amer. Math. Soc. 152 (2024), 1479--1491.
With Henrik Holm, A brief introduction to the Q-shaped derived category, pp. 141--167 in "Triangulated categories in representation theory and beyond" (proceedings of the Abel Symposium 2022, edited by Bergh, Oppermann, and Solberg), Abel Symposia, Vol. 17, Springer, Cham, 2024.
With Michael Cuntz and Thorsten Holm, Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing, Adv. in Appl. Math. 171 (2025), 102940.
With Francesca Fedele and Amit Shah, The index in d-exact categories, J. Algebra 686 (2026), 814-835.
The following manuscripts are not yet published.
Proper abelian subcategories of triangulated categories and their tilting theory, preprint (2021).
With Francesca Fedele and Amit Shah, The index with respect to a contravariantly finite subcategory, preprint (2024).
With Michael Cuntz and Thorsten Holm, Noncommutative frieze patterns with coefficients, to appear in Algebra and Number Theory.
With Henrik Holm, Minimal semiinjective resolutions in the Q-shaped derived category, to appear in Rev. Mat. Iberoam.
With Sira Gratz, Henrik Holm, and Greg Stevenson, Tilting in Q-shaped derived categories, to appear in Homology Homotopy Appl.
With Emre Sen, Construction of d-abelian categories via derived categories, preprint (2025).
"Triangulated categories" (edited by Holm, Jørgensen, and Rouquier), London Math. Soc. Lecture Note Ser., Vol. 375, Cambridge University Press, Cambridge, 2010
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).
Higher dimensional homological algebra, notes from the LMS-CMI Research School "New trends in representation theory" at the University of Leicester (2017).