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  1. Employees

Språkvelger

Norsk

Aslak Bakke Buan

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Aslak Bakke Buan

Professor
Department of Mathematical Sciences
Faculty of Information Technology and Electrical Engineering

aslak.buan@ntnu.no
+4773550289 Sentralbygg 2, 846, Gløshaugen, Alfred Getz vei 1
The algebra group Homepage
About Publications Teaching Outreach

About

 

Aslak Bakke Buan is a professor in Mathematics at the Department of Mathematical Sciences. He is a member of the algebra group.

 

Main area of research

Representation theory of finite dimensional algebras. Homological algebra, including triangulated categories. Combinatorial methods in representation theory, including AR-theory and cluster combinatorics. See profile at Google Scholar.

 

Teaching and supervision

  • Lectured courses: Cryptography; Introduction to cryptography; Discrete Mathematics; Linear Algebra; Mathematics for students in computer science; Ring theory; Rings and modules; Algebra and Number Theory; Coding theory
  • Supervised 16 master students and 8 PhD-students.
  • Educational projects: Involved in KTDiM (Kvalitet, Tilgjengelighet og Differensiering i grunnutdanningen i Matematikk) og StudForsk  
  • Served as Vice Chair of Department of Mathematical Sciences with responsibility for teaching, 2013-2017

 

Recent Leadership experience

  • 2011-2015: Vice Chair, Norwegian Mathematical Society
  • 2013-2017: Vice Chair of Department of Mathematical Sciences
  •  2014-2017:  Project leader for Clusters, Combinatorics and Computations in Algebra  (NFR-FriPro)
  • 2015: Coorganizer of the program in Representation Theory  at Institut Mittag-Leffler.

 

Memberships

  • Member of American Mathematical Society,  European Mathematical Society and Norsk matematisk forening
  • Elected member (2013) of The Royal Norwegian Society of Sciences and Letters

 

Academic degrees

  • Dr.Scient (PhD) from NTNU, January 2000. Thesis: Relative homology, derived categories and cotilting theory. Supervisor: Øyvind Solberg.
  • Cand.Scient (master degree) from Universitetet i Trondheim, AVH, May 1995. Thesis: Cartan-determinant-formodningen. Supervisor: Øyvind Solberg.

Work experience

  • 2009- Professor at NTNU
  • 2005-2009 Associate professor at NTNU
  • 2003-2005 Postdoctoral fellow (Norwegain research council), NTNU, UiO and University of Leicester
  • 2001-2002 Assistant professor at NTNU (temporary position)
  • 2000-2001 Advisor at Bankenes Betalingssentral (Nets)
  • 1996-1999 PhD fellow at Unversitetet i Trondheim, AVH

 

 

Publications

  • Chronological
  • By category
  • See all publications in Cristin

2021

  • Buan, Aslak Bakke; Marsh, Bethany Rose. (2021) Tau-exceptional sequences. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Marsh, Robert James. (2021) A category of wide subcategories. International Mathematics Research Notices (IMRN)
    Academic article
  • Buan, Aslak Bakke; Qiu, Yu; Zhou, Yu. (2021) Decorated Marked Surfaces III: The Derived Category of a Decorated Marked Surface. International Mathematics Research Notices (IMRN)
    Academic article

2019

  • Buan, Aslak Bakke. (2019) From classical tilting to two-term silting. Science China Mathematics
    Academic literature review
  • Buan, Aslak Bakke; Krause, Henning; Snashall, Nicole; Solberg, Øyvind. (2019) Support varieties—an axiomatic approach. Mathematische Zeitschrift
    Academic article

2017

  • Langaas, Mette; Buan, Aslak Bakke; Rønning, Frode; Tjelmeland, Håkon; Skauvold, Jacob; Thaule, Marius. (2017) Læringsressurser i grunnutdanningen i matematikk - kvalitet, tilgjengelighet og differensiering. Læring om læring
    Academic article
  • Buan, Aslak Bakke; Zhou, Yu. (2017) Endomorphism algebras of 2-term silting complexes. Algebras and Representation Theory
    Academic article
  • Thaule, Marius; Buan, Aslak Bakke; Langaas, Mette; Rønning, Frode. (2017) Alternativ forelesningsstruktur i grunnutdanningen i matematikk. Læring om læring
    Academic article
  • Rønning, Frode; Buan, Aslak Bakke; Langaas, Mette; Thaule, Marius. (2017) Bruk av digitale øvinger i grunnutdanningen i matematikk. Læring om læring
    Academic article

2016

  • Buan, Aslak Bakke; Reiten, Idun; Palu, Yann. (2016) Algebras of finite representation type arising from maximal rigid objects. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Zhou, Yu. (2016) Silted algebras. Advances in Mathematics
    Academic article
  • Buan, Aslak Bakke; Zhou, Yu. (2016) A silting theorem. Journal of Pure and Applied Algebra
    Academic article

2014

  • Buan, Aslak Bakke. (2014) Classifying torsion pairs for tame hereditary algebras and tubes. Contemporary Mathematics
    Academic article
  • Baur, K; Buan, Aslak Bakke; Marsh, RJ. (2014) Torsion pairs and rigid objects in tubes. Algebras and Representation Theory
    Academic article

2013

  • Buan, Aslak Bakke; Reiten, Idun; Solberg, Øyvind. (2013) Algebras, Quivers and Representations. Springer Science+Business Media B.V. Abel Symposia (8)
    Academic anthology/Conference proceedings
  • Buan, Aslak Bakke; Marsh, RJ. (2013) FROM TRIANGULATED CATEGORIES TO MODULE CATEGORIES VIA LOCALISATION. Transactions of the American Mathematical Society
    Academic article

2012

  • Buan, Aslak Bakke; Marsh, Robert. (2012) From triangulated categories to module categories via localization II: calculus of fractions. Journal of the London Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh. (2012) From m-clusters to m-noncrossing partitions via exceptional sequences. Mathematische Zeitschrift
    Academic article
  • Bobinski, GRZEGORZ; Buan, Aslak Bakke. (2012) THE ALGEBRAS DERIVED EQUIVALENT TO GENTLE CLUSTER TILTED ALGEBRAS. Journal of Algebra and its Applications
    Academic article

2011

  • Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh. (2011) Three kinds of mutation. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke. (2011) AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES. Bulletin of the Iranian Mathematical Society (BIMS)
    Academic article
  • Buan, Aslak Bakke; Iyama, O; Reiten, Idun; Smith, D.. (2011) MUTATION OF CLUSTER-TILTING OBJECTS AND POTENTIALS. American Journal of Mathematics
    Academic article

2010

  • Buan, Aslak Bakke; Marsh, Robert. (2010) Denominators in cluster algebras of affine type. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Vatne, Dagfinn Furnes. (2010) Cluster structures from 2-Calabi-Yau categories with loops. Mathematische Zeitschrift
    Academic article

2009

  • Buan, Aslak Bakke; Torkildsen, Hermund Andre. (2009) The number of elements in the mutation class of a quiver of type D-n. The Electronic Journal of Combinatorics
    Academic article
  • Buan, Aslak Bakke; Thomas, Hugh. (2009) Coloured quiver mutation for higher cluster categories. Advances in Mathematics
    Academic article
  • Buan, Aslak Bakke; Iyama, O; Reiten, Idun; Scott, J. (2009) Cluster structures for 2-Calabi-Yau categories and unipotent groups. Compositio Mathematica
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Reiten, Idun. (2009) Denominators of cluster variables. Journal of the London Mathematical Society
    Academic article

2008

  • Buan, Aslak Bakke; Vatne, DF. (2008) Derived equivalence classification for cluster-tilted algebras of type A(n). Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Reiten, I. (2008) Cluster mutation via quiver representations. Commentarii Mathematici Helvetici
    Academic article

2007

  • Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2007) Support varieties - an ideal approach. Homology, Homotopy and Applications
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; Marsh, Robert; Todorov, Gordana. (2007) Clusters and seeds in acyclic cluster algebras. Proceedings of the American Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Reiten, Idun. (2007) Cluster-tilted algebras. Transactions of the American Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; seven, ahmet. (2007) Tame concealed algebras and cluster quivers of minimal infinite type. Journal of Pure and Applied Algebra
    Academic article

2006

  • Buan, Aslak Bakke; Marsh, Robert; Reineke, Markus; Reiten, Idun; Todorov, Gordana. (2006) Tilting theory and cluster combinatorics. Advances in Mathematics
    Academic article
  • Reiten, Idun; Buan, Aslak Bakke. (2006) Acyclic quivers of finite mutation type. International Mathematics Research Notices (IMRN)
    Academic article
  • Reiten, Idun; Buan, Aslak Bakke; Marsh, Robert. (2006) Cluster-tilted algebras of finite representation type. Journal of Algebra
    Academic article

2005

  • Buan, Aslak Bakke; Solberg, Øyvind. (2005) Limits of Pure-Injective Cotilting Modules. Algebras and Representation Theory
    Academic article

2004

  • Buan, Aslak Bakke; Enge, Ole. (2004) Kryptografi i skolen. ?
    Article in business/trade/industry journal
  • Buan, Aslak Bakke; Enge, Ole. (2004) Kryptografi, del 2. ?
    Article in business/trade/industry journal
  • Buan, Aslak Bakke; Krause, H. (2004) Tilting and cotilting for quivers of type (A)over-tilde(n). Journal of Pure and Applied Algebra
    Academic article

2002

  • Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2002) On the lattice of cotilting modules. AMA : Algebra Montpellier Announcements : Annonces de Montpellier en Algèbre
    Academic article

1998

  • Buan, Aslak Bakke; Solberg, Øyvind. (1998) Relative cotilting theory and almost complete cotilting modules. CMS Conference Proceedings Series
    Academic article

Journal publications

  • Buan, Aslak Bakke; Marsh, Bethany Rose. (2021) Tau-exceptional sequences. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Marsh, Robert James. (2021) A category of wide subcategories. International Mathematics Research Notices (IMRN)
    Academic article
  • Buan, Aslak Bakke; Qiu, Yu; Zhou, Yu. (2021) Decorated Marked Surfaces III: The Derived Category of a Decorated Marked Surface. International Mathematics Research Notices (IMRN)
    Academic article
  • Buan, Aslak Bakke. (2019) From classical tilting to two-term silting. Science China Mathematics
    Academic literature review
  • Buan, Aslak Bakke; Krause, Henning; Snashall, Nicole; Solberg, Øyvind. (2019) Support varieties—an axiomatic approach. Mathematische Zeitschrift
    Academic article
  • Langaas, Mette; Buan, Aslak Bakke; Rønning, Frode; Tjelmeland, Håkon; Skauvold, Jacob; Thaule, Marius. (2017) Læringsressurser i grunnutdanningen i matematikk - kvalitet, tilgjengelighet og differensiering. Læring om læring
    Academic article
  • Buan, Aslak Bakke; Zhou, Yu. (2017) Endomorphism algebras of 2-term silting complexes. Algebras and Representation Theory
    Academic article
  • Thaule, Marius; Buan, Aslak Bakke; Langaas, Mette; Rønning, Frode. (2017) Alternativ forelesningsstruktur i grunnutdanningen i matematikk. Læring om læring
    Academic article
  • Rønning, Frode; Buan, Aslak Bakke; Langaas, Mette; Thaule, Marius. (2017) Bruk av digitale øvinger i grunnutdanningen i matematikk. Læring om læring
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; Palu, Yann. (2016) Algebras of finite representation type arising from maximal rigid objects. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Zhou, Yu. (2016) Silted algebras. Advances in Mathematics
    Academic article
  • Buan, Aslak Bakke; Zhou, Yu. (2016) A silting theorem. Journal of Pure and Applied Algebra
    Academic article
  • Buan, Aslak Bakke. (2014) Classifying torsion pairs for tame hereditary algebras and tubes. Contemporary Mathematics
    Academic article
  • Baur, K; Buan, Aslak Bakke; Marsh, RJ. (2014) Torsion pairs and rigid objects in tubes. Algebras and Representation Theory
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ. (2013) FROM TRIANGULATED CATEGORIES TO MODULE CATEGORIES VIA LOCALISATION. Transactions of the American Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Marsh, Robert. (2012) From triangulated categories to module categories via localization II: calculus of fractions. Journal of the London Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh. (2012) From m-clusters to m-noncrossing partitions via exceptional sequences. Mathematische Zeitschrift
    Academic article
  • Bobinski, GRZEGORZ; Buan, Aslak Bakke. (2012) THE ALGEBRAS DERIVED EQUIVALENT TO GENTLE CLUSTER TILTED ALGEBRAS. Journal of Algebra and its Applications
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh. (2011) Three kinds of mutation. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke. (2011) AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES. Bulletin of the Iranian Mathematical Society (BIMS)
    Academic article
  • Buan, Aslak Bakke; Iyama, O; Reiten, Idun; Smith, D.. (2011) MUTATION OF CLUSTER-TILTING OBJECTS AND POTENTIALS. American Journal of Mathematics
    Academic article
  • Buan, Aslak Bakke; Marsh, Robert. (2010) Denominators in cluster algebras of affine type. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Vatne, Dagfinn Furnes. (2010) Cluster structures from 2-Calabi-Yau categories with loops. Mathematische Zeitschrift
    Academic article
  • Buan, Aslak Bakke; Torkildsen, Hermund Andre. (2009) The number of elements in the mutation class of a quiver of type D-n. The Electronic Journal of Combinatorics
    Academic article
  • Buan, Aslak Bakke; Thomas, Hugh. (2009) Coloured quiver mutation for higher cluster categories. Advances in Mathematics
    Academic article
  • Buan, Aslak Bakke; Iyama, O; Reiten, Idun; Scott, J. (2009) Cluster structures for 2-Calabi-Yau categories and unipotent groups. Compositio Mathematica
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Reiten, Idun. (2009) Denominators of cluster variables. Journal of the London Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Vatne, DF. (2008) Derived equivalence classification for cluster-tilted algebras of type A(n). Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Reiten, I. (2008) Cluster mutation via quiver representations. Commentarii Mathematici Helvetici
    Academic article
  • Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2007) Support varieties - an ideal approach. Homology, Homotopy and Applications
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; Marsh, Robert; Todorov, Gordana. (2007) Clusters and seeds in acyclic cluster algebras. Proceedings of the American Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Marsh, RJ; Reiten, Idun. (2007) Cluster-tilted algebras. Transactions of the American Mathematical Society
    Academic article
  • Buan, Aslak Bakke; Reiten, Idun; seven, ahmet. (2007) Tame concealed algebras and cluster quivers of minimal infinite type. Journal of Pure and Applied Algebra
    Academic article
  • Buan, Aslak Bakke; Marsh, Robert; Reineke, Markus; Reiten, Idun; Todorov, Gordana. (2006) Tilting theory and cluster combinatorics. Advances in Mathematics
    Academic article
  • Reiten, Idun; Buan, Aslak Bakke. (2006) Acyclic quivers of finite mutation type. International Mathematics Research Notices (IMRN)
    Academic article
  • Reiten, Idun; Buan, Aslak Bakke; Marsh, Robert. (2006) Cluster-tilted algebras of finite representation type. Journal of Algebra
    Academic article
  • Buan, Aslak Bakke; Solberg, Øyvind. (2005) Limits of Pure-Injective Cotilting Modules. Algebras and Representation Theory
    Academic article
  • Buan, Aslak Bakke; Enge, Ole. (2004) Kryptografi i skolen. ?
    Article in business/trade/industry journal
  • Buan, Aslak Bakke; Enge, Ole. (2004) Kryptografi, del 2. ?
    Article in business/trade/industry journal
  • Buan, Aslak Bakke; Krause, H. (2004) Tilting and cotilting for quivers of type (A)over-tilde(n). Journal of Pure and Applied Algebra
    Academic article
  • Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2002) On the lattice of cotilting modules. AMA : Algebra Montpellier Announcements : Annonces de Montpellier en Algèbre
    Academic article
  • Buan, Aslak Bakke; Solberg, Øyvind. (1998) Relative cotilting theory and almost complete cotilting modules. CMS Conference Proceedings Series
    Academic article

Books

  • Buan, Aslak Bakke; Reiten, Idun; Solberg, Øyvind. (2013) Algebras, Quivers and Representations. Springer Science+Business Media B.V. Abel Symposia (8)
    Academic anthology/Conference proceedings

Teaching

Courses

  • MA8205 - Representation Theory of Algebras
  • MA3202 - Galois Theory
  • MA3201 - Rings and Modules
  • MA0301 - Elementary Discrete Mathematics

Outreach

2003

  • Academic lecture
    Gjerde, Marius; Mjølsnes, Stig Frode; Buan, Aslak Bakke. (2003) Decentralized Credentials. NORDSEC 2003 , Gjøvik 2003-10-17 -
  • Academic lecture
    Gjerde, Marius; Mjølsnes, Stig Frode; Buan, Aslak Bakke. (2003) Digital Signatures by Decentralized Credentials. NIK'2003 , Oslo 2003-11-26 -

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