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