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  1. Employees

Språkvelger

Norsk

Steffen Oppermann

Steffen Oppermann

Professor
Department of Mathematical Sciences

steffen.oppermann@ntnu.no
Sentralbygg 2, 844, Gløshaugen
About Publications Teaching

About

This is my official home page, created for me by the university administration. If you are looking for any further information, please visit my personal home page.

Publications

  • Chronological
  • By category
  • See all publications in Cristin

2023

  • Herschend, Martin; Iyama, Osamu; Minamoto, Hiroyuki; Oppermann, Steffen. (2023) Representation Theory of Geigle-Lenzing Complete Intersections. Memoirs of the American Mathematical Society
    Academic article
  • Oppermann, Steffen; Psaroudakis, Chrysostomos; Stai, Torkil Utvik. (2023) Partial Serre duality and cocompact objects. Selecta Mathematica, New Series
    Academic article

2020

  • Bauer, Ulrich; Botnan, Magnus Bakke; Oppermann, Steffen; Steen, Johan. (2020) Cotorsion torsion triples and the representation theory of filtered hierarchical clustering. Advances in Mathematics
    Academic article

2019

  • Oppermann, Steffen; Psaroudakis, Chrysostomos; Stai, Torkil Utvik. (2019) Change of rings and singularity categories. Advances in Mathematics
    Academic article

2017

  • Stai, Torkil Utvik; Oppermann, Steffen. (2017) On orbit and localization constructions for triangulated categories. NTNU
    Doctoral dissertation
  • Oppermann, Steffen. (2017) Quivers for silting mutation. Advances in Mathematics
    Academic article
  • Nornes, Nils Melvær; Oppermann, Steffen. (2017) Degenerations of Submodules and Composition Series. Algebras and Representation Theory
    Academic article
  • Lerner, Boris; Oppermann, Steffen. (2017) A RECOLLEMENT APPROACH to GEIGLE-LENZING WEIGHTED PROJECTIVE VARIETIES. Nagoya mathematical journal
    Academic article

2015

  • Oppermann, Steffen; Reiten, Idun; Thomas, Hugh. (2015) Quotient closed subcategories of quiver representations. Compositio Mathematica
    Academic article
  • Bergh, Petter Andreas; Oppermann, Steffen; Jorgensen, David A. (2015) The Gorenstein defect category. Quarterly Journal of Mathematics
    Academic article

2014

  • Bergh, Petter Andreas; Oppermann, Steffen; Jorgensen, David Alan. (2014) The gorenstein defect category. Quarterly Journal of Mathematics
    Academic article
  • Herschend, Martin; Iyama, Osamu; Oppermann, Steffen. (2014) N-representation infinite algebras. Advances in Mathematics
    Academic article
  • Amiot, Claire; Oppermann, Steffen. (2014) Higher preprojective algebras and stably Calabi-Yau properties. Mathematical Research Letters
    Academic article
  • Bergh, Petter Andreas; Jorgensen, David Alan; Oppermann, Steffen. (2014) The negative side of cohomology for Calabi-Yau categories. Bulletin of the London Mathematical Society
    Academic article
  • Amiot, Claire; Oppermann, Steffen. (2014) Cluster equivalence and graded derived equivalence. Documenta Mathematica
    Academic article

2013

  • Amiot, Claire; Oppermann, Steffen. (2013) Algebras of acyclic cluster type: Tree type and type Ã. Nagoya mathematical journal
    Academic article
  • Iyama, Osamu; Oppermann, Steffen. (2013) Stable categories of higher preprojective algebras. Advances in Mathematics
    Academic article
  • Geiss, C; Keller, B; Oppermann, Steffen. (2013) n-angulated categories. Journal für die Reine und Angewandte Mathematik
    Academic article
  • Amiot, Claire; Oppermann, Steffen. (2013) The Image of the Derived Category in the Cluster Category. International Mathematics Research Notices (IMRN)
    Academic article

2012

  • Bertani-Økland, Marco Angel; Oppermann, Steffen; Wrålsen, Anette. (2012) Graded mutation in cluster categories coming from hereditary categories with a tilting object. Journal of Pure and Applied Algebra
    Academic article
  • Oppermann, Steffen; Thomas, Hugh. (2012) Higher-dimensional cluster combinatorics and representation theory. Journal of the European Mathematical Society (Print)
    Academic article
  • Oppermann, Steffen; Stovicek, Jan. (2012) Generating the bounded derived category and perfect ghosts. Bulletin of the London Mathematical Society
    Academic article

2011

  • Bertani-Økland, Marco Angel; Oppermann, Steffen. (2011) Mutating loops and 2-cycles in 2-CY triangulated categories. Journal of Algebra
    Academic article
  • Iyama, Osamu; Oppermann, Steffen. (2011) n-REPRESENTATION-FINITE ALGEBRAS AND n-APR TILTING. Transactions of the American Mathematical Society
    Academic article
  • Bergh, Petter Andreas; Oppermann, Steffen. (2011) Cluster tilting and complexity. International Mathematics Research Notices (IMRN)
    Academic article
  • Bergh, Petter Andreas; Oppermann, Steffen. (2011) Cohomological symmetry in triangulated categories. Journal of Algebra
    Academic article
  • Miemietz, V; Oppermann, Steffen. (2011) On the Representation Dimension of Schur Algebras. Algebras and Representation Theory
    Academic article

2010

  • Oppermann, Steffen. (2010) Representation dimension of quasi-tilted algebras. Journal of the London Mathematical Society
    Academic article
  • Bertani-Økland, Marco Angel; Oppermann, Steffen; Wrålsen, Anette. (2010) Constructing tilted algebras from cluster-tilted algebras. Journal of Algebra
    Academic article
  • Oppermann, Steffen. (2010) The dimension of the derived category of elliptic curves and tubular weighted projective lines. Colloquium Mathematicum
    Academic article
  • Bergh, Petter Andreas; Iyengar, Srikanth B.; Krause, Henning; Oppermann, Steffen. (2010) Dimensions of triangulated categories via Koszul objects. Mathematische Zeitschrift
    Academic article
  • Bertani-Økland, Marco Angel; Oppermann, Steffen; Wrålsen, Anette. (2010) Finding a cluster-tilting object for a representation finite cluster-tilted algebra. Colloquium Mathematicum
    Academic article
  • Oppermann, Steffen. (2010) Hochschild cohomology and homology of quantum complete intersections. Algebra & Number Theory
    Academic article

2009

  • Oppermann, Steffen. (2009) Lower bounds for Auslander's representation dimension. Duke mathematical journal
    Academic article
  • Oppermann, Steffen. (2009) Wild algebras have one-point extensions of representation dimension at least four. Journal of Pure and Applied Algebra
    Academic article

2008

  • Bergh, Petter Andreas; Oppermann, S. (2008) Cohomology of twisted tensor products. Journal of Algebra
    Academic article
  • Bergh, Petter Andreas; Oppermann, S. (2008) The representation dimension of quantum complete intersections. Journal of Algebra
    Academic article

Journal publications

  • Herschend, Martin; Iyama, Osamu; Minamoto, Hiroyuki; Oppermann, Steffen. (2023) Representation Theory of Geigle-Lenzing Complete Intersections. Memoirs of the American Mathematical Society
    Academic article
  • Oppermann, Steffen; Psaroudakis, Chrysostomos; Stai, Torkil Utvik. (2023) Partial Serre duality and cocompact objects. Selecta Mathematica, New Series
    Academic article
  • Bauer, Ulrich; Botnan, Magnus Bakke; Oppermann, Steffen; Steen, Johan. (2020) Cotorsion torsion triples and the representation theory of filtered hierarchical clustering. Advances in Mathematics
    Academic article
  • Oppermann, Steffen; Psaroudakis, Chrysostomos; Stai, Torkil Utvik. (2019) Change of rings and singularity categories. Advances in Mathematics
    Academic article
  • Oppermann, Steffen. (2017) Quivers for silting mutation. Advances in Mathematics
    Academic article
  • Nornes, Nils Melvær; Oppermann, Steffen. (2017) Degenerations of Submodules and Composition Series. Algebras and Representation Theory
    Academic article
  • Lerner, Boris; Oppermann, Steffen. (2017) A RECOLLEMENT APPROACH to GEIGLE-LENZING WEIGHTED PROJECTIVE VARIETIES. Nagoya mathematical journal
    Academic article
  • Oppermann, Steffen; Reiten, Idun; Thomas, Hugh. (2015) Quotient closed subcategories of quiver representations. Compositio Mathematica
    Academic article
  • Bergh, Petter Andreas; Oppermann, Steffen; Jorgensen, David A. (2015) The Gorenstein defect category. Quarterly Journal of Mathematics
    Academic article
  • Bergh, Petter Andreas; Oppermann, Steffen; Jorgensen, David Alan. (2014) The gorenstein defect category. Quarterly Journal of Mathematics
    Academic article
  • Herschend, Martin; Iyama, Osamu; Oppermann, Steffen. (2014) N-representation infinite algebras. Advances in Mathematics
    Academic article
  • Amiot, Claire; Oppermann, Steffen. (2014) Higher preprojective algebras and stably Calabi-Yau properties. Mathematical Research Letters
    Academic article
  • Bergh, Petter Andreas; Jorgensen, David Alan; Oppermann, Steffen. (2014) The negative side of cohomology for Calabi-Yau categories. Bulletin of the London Mathematical Society
    Academic article
  • Amiot, Claire; Oppermann, Steffen. (2014) Cluster equivalence and graded derived equivalence. Documenta Mathematica
    Academic article
  • Amiot, Claire; Oppermann, Steffen. (2013) Algebras of acyclic cluster type: Tree type and type Ã. Nagoya mathematical journal
    Academic article
  • Iyama, Osamu; Oppermann, Steffen. (2013) Stable categories of higher preprojective algebras. Advances in Mathematics
    Academic article
  • Geiss, C; Keller, B; Oppermann, Steffen. (2013) n-angulated categories. Journal für die Reine und Angewandte Mathematik
    Academic article
  • Amiot, Claire; Oppermann, Steffen. (2013) The Image of the Derived Category in the Cluster Category. International Mathematics Research Notices (IMRN)
    Academic article
  • Bertani-Økland, Marco Angel; Oppermann, Steffen; Wrålsen, Anette. (2012) Graded mutation in cluster categories coming from hereditary categories with a tilting object. Journal of Pure and Applied Algebra
    Academic article
  • Oppermann, Steffen; Thomas, Hugh. (2012) Higher-dimensional cluster combinatorics and representation theory. Journal of the European Mathematical Society (Print)
    Academic article
  • Oppermann, Steffen; Stovicek, Jan. (2012) Generating the bounded derived category and perfect ghosts. Bulletin of the London Mathematical Society
    Academic article
  • Bertani-Økland, Marco Angel; Oppermann, Steffen. (2011) Mutating loops and 2-cycles in 2-CY triangulated categories. Journal of Algebra
    Academic article
  • Iyama, Osamu; Oppermann, Steffen. (2011) n-REPRESENTATION-FINITE ALGEBRAS AND n-APR TILTING. Transactions of the American Mathematical Society
    Academic article
  • Bergh, Petter Andreas; Oppermann, Steffen. (2011) Cluster tilting and complexity. International Mathematics Research Notices (IMRN)
    Academic article
  • Bergh, Petter Andreas; Oppermann, Steffen. (2011) Cohomological symmetry in triangulated categories. Journal of Algebra
    Academic article
  • Miemietz, V; Oppermann, Steffen. (2011) On the Representation Dimension of Schur Algebras. Algebras and Representation Theory
    Academic article
  • Oppermann, Steffen. (2010) Representation dimension of quasi-tilted algebras. Journal of the London Mathematical Society
    Academic article
  • Bertani-Økland, Marco Angel; Oppermann, Steffen; Wrålsen, Anette. (2010) Constructing tilted algebras from cluster-tilted algebras. Journal of Algebra
    Academic article
  • Oppermann, Steffen. (2010) The dimension of the derived category of elliptic curves and tubular weighted projective lines. Colloquium Mathematicum
    Academic article
  • Bergh, Petter Andreas; Iyengar, Srikanth B.; Krause, Henning; Oppermann, Steffen. (2010) Dimensions of triangulated categories via Koszul objects. Mathematische Zeitschrift
    Academic article
  • Bertani-Økland, Marco Angel; Oppermann, Steffen; Wrålsen, Anette. (2010) Finding a cluster-tilting object for a representation finite cluster-tilted algebra. Colloquium Mathematicum
    Academic article
  • Oppermann, Steffen. (2010) Hochschild cohomology and homology of quantum complete intersections. Algebra & Number Theory
    Academic article
  • Oppermann, Steffen. (2009) Lower bounds for Auslander's representation dimension. Duke mathematical journal
    Academic article
  • Oppermann, Steffen. (2009) Wild algebras have one-point extensions of representation dimension at least four. Journal of Pure and Applied Algebra
    Academic article
  • Bergh, Petter Andreas; Oppermann, S. (2008) Cohomology of twisted tensor products. Journal of Algebra
    Academic article
  • Bergh, Petter Andreas; Oppermann, S. (2008) The representation dimension of quantum complete intersections. Journal of Algebra
    Academic article

Report

  • Stai, Torkil Utvik; Oppermann, Steffen. (2017) On orbit and localization constructions for triangulated categories. NTNU
    Doctoral dissertation

Teaching

Courses

  • MA8205 - Representation Theory of Algebras
  • MA8203 - Algebraic Geometry
  • MA3204 - Homological Algebra
  • TMA4110 - Mathematics 3 - Linear algebra
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