• with R. Laking and F. Sentieri, Torsion pairs via the Ziegler spectrum  arxiv:2403.00475
  
  
  

Publications:

• with D. Pauksztello and J. Vitória, Fishing for complements
  Nagoya Mathematical Journal (2025)  link to journal  arXiv:2402.13356
  
  
• with M. Lanzilotta, J. Liu, S. Trepode, Endomorphism algebras of silting complexes,
  Journal of Algebra  677 (2025), 497–515. link to journal  arxiv:2411.02765
  
  
• with R. Laking, J. Stovicek, J.Vitória, Mutation and torsion pairs, 
  to appear in Algebra & Number Theory 19 (2025), No. 7, 1313–1368   link to journal  arxiv:2201.02147
  
  
• with F. Sentieri, Wide coreflective subcategories and torsion pairs,
  Journal of Algebra 664 (2025) 164–205  link to journal    arxiv:2304.00845
  
  
• with I. Herzog, R. Laking, Simples in a cotilting heart,
  Mathematische Zeitschrift  (2024) 307:12 link to journal   arxiv:2205.11883
  
  
• with W. Cao, Minimal silting modules and ring extensions   
  Science China Mathematics 65 (2022), 1775-1794 link to journal   arxiv: 2011.12153
  
  
• with M. Hrbek, Parametrizing torsion pairs in derived categories
  Represent. Theory 25 (2021), 679-731 link to journal  arxiv:1910.11589
  
  
• with  F. Marks, J. Stovicek, R. Takahashi, J. Vitória, 
  Flat ring epimorphisms and universal localisations of commutative rings
  The Quarterly Journal of Mathematics 71 (2020), 1489-1520. link to journal    arxiv:1807.01982
  
  
• with  F. Marks, J. Vitória, Partial silting objects and smashing subcategories
  Mathematische Zeitschrift 296 (2020), 887-900.  link to journal   arxiv:1902.05817
  
  
• Silting objects  
  Bulletin of the London Mathematical Society 51 (2019) 658–690.    arxiv:1809.02815
  
  
• with  F. Marks, J. Vitória, A characterisation of τ-tilting finite algebras 
  Model Theory of Modules, Algebras and Categories, Contemporary Mathematics 730,
  Amer. Math. Soc., Providence, RI, (2019), pp. 75-89. arxiv:1801.04312
  
  
• On the abundance of silting modules
  Surveys in representation theory of algebras,  Contemporary Mathematics 716,
  Amer. Math. Soc., Providence, RI  (2018), 1-23.  arxiv:1801.08370
  
  
• with J. Saroch, J. Trlifaj, Approximations and Mittag-Leffler conditions -- the applications
  Israel Journal of Mathematics 226 (2018), 757-780
  Sharedit    arxiv:1612.01140
  
  
• with  F. Marks, J. Vitória, Torsion pairs in silting theory
  Pacific Journal of Mathematics 291-2 (2017), 257-278.   arxiv:1611.08139
  
  
• with D. Kussin, Large tilting sheaves over weighted noncommutative regular projective curves
  Documenta Mathematica 22 (2017) 67-134    link to journal  arXiv:1508.03833
  
  
• with D. Kussin, Tilting and cotilting modules over concealed canonical algebras
  Mathematische Zeitschrift 285 (2017), 821–850  link to journal  arXiv:1508.03752
  
  
• with S. König, Q. Liu, D. Yang, Recollements and stratifying ideals
  Journal of Algebra 484 (2017), 47--65. link to journal   arXiv:1606.05992
  
  
• with S. König, Q. Liu, D. Yang,  Ladders and simplicity of derived module categories
  Journal of Algebra 472 (2017) 15–66 link to journal    arxiv:1310.3479
  
  
• with M. Hrbek, Silting modules over commutative rings,
  International Mathematics Research Notices 2017(13) (2017), 4131–4151   link to journal    arxiv:1602.04321
  
  
• with  F. Marks, J. Vitória, Silting modules and ring epimorphisms
  Advances in Mathematics 303 (2016), 1044-1076.
  link to journal     arxiv:1504.07169
  
  
• with  F. Marks, J. Vitória, Silting modules.  
  International Mathematics Research Notices Vol. 2016, No. 4,  (2016) pp. 1251–1284 link to journal
  
  
• with M.Saorín, t-structures and cotilting modules over commutative noetherian rings.
  Mathematische Zeitschrift 277 (2014), 847–866.    link to journal  
  
  
• with D. Pospisil, J. Stovicek, J. Trlifaj, Tilting, cotilting, and spectra of commutative noetherian rings.
  Transactions Amer. Math. Soc. 366 (2014), 3487–3517.  link to arXiv
  
  
• with J. Sánchez, Tilting modules over tame hereditary algebras,
  Journal für die Reine und Angewandte Mathematik,  682 (2013), 1–48.   link to journal
  
  
• Infinite dimensional tilting theory,  
  in "Advances in Representation Theory of Algebras", Bielefeld 2012,
  edited by D. J. Benson, H. Krause, A. Skowronski, EMS Series of Congress Reports  2013, pp.1-37.   pdf
  
  
• with S. König, Q. Liu, On the uniqueness of stratifications of derived module categories,
  Journal of Algebra 359 (2012), 120–137.   link to journal
  

• with S. König, Q. Liu, Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras,
  Journal of Algebra  352 (2012), 361-381. link to journal
  
  
• with S. König, Q. Liu, D. Yang, Stratifying derived module categories
  Comptes Rendus Mathématique 349 (2011),  1139-1144.  link to journal
  
  
• with S. König, Q. Liu, Recollements and tilting objects,
  Journal of Pure and Applied Algebra, 215 (2011),  420-438.  link to journal

• with D. Herbera,  Auslander-Reiten-components over pure-semisimple hereditary rings 
  Journal of Algebra 331 (2011), 285-303.  link to journal
  

• with J. Sánchez, Tilting modules arising  from ring epimorphisms,
  Algebras and Representation Theory,  14 (2011), 217-246.  link to journal   
  

• with S. Bazzoni, TTF triples in functor categories,
  Applied Categorical Structures 18 (2010), 585-613.  link to journal

• with M. Archetti, Tilting modules and universal localization
  Forum Mathematicum  24 (2012) 709-731.   pdf
  
  
• with D. Herbera, J. Trlifaj, Baer and Mittag-Leffler modules over tame hereditary artin algebras
  Mathematische Zeitschrift 265 (2010), 1-19. link to journal
  
  
• with O. Kerner, J. Trlifaj, Large tilting modules and representation type,
  Manuscripta Mathematica 132 (2010),  483 - 499.  link to journal
  
  
• with J.A. de la Peña, Locally finitely generated modules over rings with enough idempotents,
  Journal of Algebra and its Applications 8 (2009), 885 - 901 link to journal  
  
  
• with O. Mendoza, Homological dimensions in cotorsion pairs,
  Illinois Journal of Mathematics 53 (2009), 251 - 263 link to journal
  
  
• with S. Bazzoni, D. Herbera, A solution to the Baer splitting problem,
  Transactions Amer. Math. Soc. 360 (2008), 2409- 2421.

• with D. Herbera, Mittag-Leffler conditions on modules,
  Indiana University Mathematics Journal 57 (2008), 2459-2518  link to journal
  
  
• with J. Saroch, J. Trlifaj, On the telescope conjecture for module categories,
  Journal of Pure and Applied Algebra 212 (2008),  297-310. link to journal 
  

• A key module over pure-semisimple hereditary rings,
  Journal of Algebra 307 (2007), 361-376.  link to journal
   
• with M.Saorín, Modules with perfect decomposition,
  Mathematica Scandinavica, 98 (2006), 1-25.
  
  
• with D. Herbera, J. Trlifaj: Tilting modules and Gorenstein rings, 
  Forum Mathematicum, 18 (2006), 211-229.
   
• with D. Herbera, J. Trlifaj, Divisible modules and localization,
  Journal of Algebra 294 (2005), 519-551.
   
• with J.Trlifaj: Direct limits of modules of finite projective dimension, 
  in Rings, Modules, Algebras, and Abelian Groups,
  Lecture Notes in Pure and Appl. Math. 236 (2004) 27-44. pdf
   
• Endocoherent modules, 
  Pacific J.Math. 212 (2003), 1-11.
   
• Covers and envelopes via endoproperties of modules,
  Proceedings London Math. Soc. 86 (2003), 649-665.
   
• with J.Trlifaj: Tilting theory and the finitistic dimension conjectures,
  Transactions Amer. Math. Soc. 354 (2002), 4345--4358.
   
• Direct summands of products,
  Archiv der Mathematik 78 (2002), 12-23.
   
  
• with F.U.Coelho:  Infinitely generated complements to partial tilting modules,
  Math.Proc.Cambridge Phil.Soc. 132 (2002), 89-96. 
  
  
• On the existence of left and right almost split morphisms,
  in Representations of Algebras,
  Lecture Notes in Pure and Applied Mathematics 224 (2002), 1-9.
  
  
• with A.Tonolo, J.Trlifaj:  Tilting preenvelopes and cotilting precovers,
  Algebras and Representation Theory 4 (2001), 155-170.
   
• with F.U.Coelho:  Infinitely generated tilting modules of finite projective dimension,
  Forum Mathematicum 13 (2001), 239-250.
  
 
• Finitely cotilting modules,
  Communications in Algebra 28 (2000), 2147-2172.
  
  
• with F.U.Coelho: On the Auslander-Reiten-quiver of a P1-hereditary artin algebra,
  Journal of Pure and Applied Algebra 151 (2000), 11-29.
   
• with S.O.Smalo:  On real representations of quivers,
  Colloquium Mathematicum 81 (1999), 293-297.
   
• with H.Valenta: A duality result for almost split sequences,
  Colloquium Mathematicum 80 (1999), 267-292. 
   
• with F.U.Coelho:  Postprojective components for algebras in H1,
  Archiv der Mathematik 69 (1997), 1-7.
   
• On a preprojective *-module,
  Communications in Algebra 25 (1997), 1143-1157.
   
• Almost split sequences arising from the preprojective partition,
  Journal of Algebra 194 (1997), 1-13.
  
  
• with F.U.Coelho: A note on a certain class of tilted algebras,
  in Proceedings of the VIIIth International Conference on Representation Theory of Algebras,
  Geiranger 1996, Canadian Mathematical Society Conference Proceedings 24, 1-6. 
   
• P1-hereditary artin algebras,
  Journal of Algebra 176 (1995), 460-479.
   
• On the category P1 in the preprojective partition,
  Communications in Algebra 23 (1995), 57-80.
  
  

 Books:
  
   

• with H. Krause and D. Happel (editors): Handbook of  Tilting Theory,
  London Mathematical Society Lecture Notes Series 332,
  Cambridge University Press  (2006),  ISBN 0-521-68045-X.
  
  
• On some precovers and preenvelopes,
  Habilitationsschrift, München 2000. ISBN 3-89791-137-X  pdf
  
  

• Henning Krause: ``Homological Theory of Representation'',
  Jahresbericht der Deutschen Mathematiker-Vereinigung  124 (2022), 267–272  link to journal
  
  

• An Introduction to Auslander-Reiten  Theory,
  Advanced School on Representation Theory and related Topics,
  ICTP Trieste, January 2006. pdf