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.
volum 585 (1).
Academic article
-
Buan, Aslak Bakke;
Marsh, Robert James.
(2021)
A category of wide subcategories.
International mathematics research notices.
volum 2021 (13).
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.
volum 2021 (17).
Academic article
2019
-
Buan, Aslak Bakke.
(2019)
From classical tilting to two-term silting.
Science China Mathematics.
volum 62 (7).
Scientific translation/review
-
Buan, Aslak Bakke;
Krause, Henning;
Snashall, Nicole;
Solberg, Øyvind.
(2019)
Support varieties—an axiomatic approach.
Mathematische Zeitschrift.
Academic article
2017
-
Buan, Aslak Bakke;
Zhou, Yu.
(2017)
Endomorphism algebras of 2-term silting complexes.
Algebras and Representation Theory.
volum 21 (1).
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.
volum 1.
Academic article
-
Rønning, Frode;
Buan, Aslak Bakke;
Langaas, Mette;
Thaule, Marius.
(2017)
Bruk av digitale øvinger i grunnutdanningen i matematikk.
Læring om læring.
volum 1.
Academic article
-
Thaule, Marius;
Buan, Aslak Bakke;
Langaas, Mette;
Rønning, Frode.
(2017)
Alternativ forelesningsstruktur i grunnutdanningen i matematikk.
Læring om læring.
volum 1 (1).
Academic article
2016
-
Buan, Aslak Bakke;
Reiten, Idun;
Palu, Yann.
(2016)
Algebras of finite representation type arising from maximal rigid objects.
Journal of Algebra.
volum 446.
Academic article
-
Buan, Aslak Bakke;
Zhou, Yu.
(2016)
A silting theorem.
Journal of Pure and Applied Algebra.
volum 220 (7).
Academic article
-
Buan, Aslak Bakke;
Zhou, Yu.
(2016)
Silted algebras.
Advances in Mathematics.
volum 303.
Academic article
2014
-
Baur, K;
Buan, Aslak Bakke;
Marsh, RJ.
(2014)
Torsion pairs and rigid objects in tubes.
Algebras and Representation Theory.
volum 17 (2).
Academic article
-
Buan, Aslak Bakke.
(2014)
Classifying torsion pairs for tame hereditary algebras and tubes.
Contemporary Mathematics.
volum 607.
Academic article
2013
-
Buan, Aslak Bakke;
Marsh, RJ.
(2013)
FROM TRIANGULATED CATEGORIES TO MODULE CATEGORIES VIA LOCALISATION.
Transactions of the American Mathematical Society.
volum 365 (6).
Academic article
-
Buan, Aslak Bakke;
Reiten, Idun;
Solberg, Øyvind.
(2013)
Algebras, Quivers and Representations.
Springer Science+Business Media B.V.. 2013. ISBN 978-3-642-39484-3. Abel Symposia (8).
Scientific anthology
2012
-
Bobinski, GRZEGORZ;
Buan, Aslak Bakke.
(2012)
THE ALGEBRAS DERIVED EQUIVALENT TO GENTLE CLUSTER TILTED ALGEBRAS.
Journal of Algebra and its Applications.
volum 11 (1).
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.
volum 86.
Academic article
-
Buan, Aslak Bakke;
Reiten, Idun;
Thomas, Hugh.
(2012)
From m-clusters to m-noncrossing partitions via exceptional sequences.
Mathematische Zeitschrift.
volum 271 (3-4).
Academic article
2011
-
Buan, Aslak Bakke.
(2011)
AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES.
Bulletin of the Iranian Mathematical Society (BIMS).
volum 37 (2).
Academic article
-
Buan, Aslak Bakke;
Iyama, O;
Reiten, Idun;
Smith, D..
(2011)
MUTATION OF CLUSTER-TILTING OBJECTS AND POTENTIALS.
American Journal of Mathematics.
volum 133 (4).
Academic article
-
Buan, Aslak Bakke;
Reiten, Idun;
Thomas, Hugh.
(2011)
Three kinds of mutation.
Journal of Algebra.
volum 339 (1).
Academic article
2010
-
Buan, Aslak Bakke;
Marsh, RJ;
Vatne, Dagfinn Furnes.
(2010)
Cluster structures from 2-Calabi-Yau categories with loops.
Mathematische Zeitschrift.
volum 265 (4).
Academic article
-
Buan, Aslak Bakke;
Marsh, Robert.
(2010)
Denominators in cluster algebras of affine type.
Journal of Algebra.
volum 323 (8).
Academic article
2009
-
Buan, Aslak Bakke;
Iyama, O;
Reiten, Idun;
Scott, J.
(2009)
Cluster structures for 2-Calabi-Yau categories and unipotent groups.
Compositio Mathematica.
volum 145 (4).
Academic article
-
Buan, Aslak Bakke;
Marsh, RJ;
Reiten, Idun.
(2009)
Denominators of cluster variables.
Journal of the London Mathematical Society.
volum 79.
Academic article
-
Buan, Aslak Bakke;
Thomas, Hugh.
(2009)
Coloured quiver mutation for higher cluster categories.
Advances in Mathematics.
volum 222 (3).
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.
volum 16 (1).
Academic article
2008
-
Buan, Aslak Bakke;
Marsh, RJ;
Reiten, I.
(2008)
Cluster mutation via quiver representations.
Commentarii Mathematici Helvetici.
volum 83.
Academic article
-
Buan, Aslak Bakke;
Vatne, DF.
(2008)
Derived equivalence classification for cluster-tilted algebras of type A(n).
Journal of Algebra.
volum 319.
Academic article
2007
-
Buan, Aslak Bakke;
Krause, Henning;
Solberg, Øyvind.
(2007)
Support varieties - an ideal approach.
Homology, Homotopy and Applications.
volum 9 (1).
Academic article
-
Buan, Aslak Bakke;
Marsh, RJ;
Reiten, Idun.
(2007)
Cluster-tilted algebras.
Transactions of the American Mathematical Society.
volum 359.
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.
volum 135 (10).
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.
volum 211 (1).
Academic article
2006
-
Buan, Aslak Bakke;
Marsh, Robert;
Reineke, Markus;
Reiten, Idun;
Todorov, Gordana.
(2006)
Tilting theory and cluster combinatorics.
Advances in Mathematics.
volum 204 (2).
Academic article
-
Reiten, Idun;
Buan, Aslak Bakke.
(2006)
Acyclic quivers of finite mutation type.
International mathematics research notices.
Academic article
-
Reiten, Idun;
Buan, Aslak Bakke;
Marsh, Robert.
(2006)
Cluster-tilted algebras of finite representation type.
Journal of Algebra.
volum 306 (2).
Academic article
2005
-
Buan, Aslak Bakke;
Solberg, Øyvind.
(2005)
Limits of Pure-Injective Cotilting Modules.
Algebras and Representation Theory.
volum 8 (5).
Academic article
2004
-
Buan, Aslak Bakke;
Enge, Ole.
(2004)
Kryptografi i skolen.
?.
volum 15 (3).
Article
-
Buan, Aslak Bakke;
Enge, Ole.
(2004)
Kryptografi, del 2.
?.
volum 15 (4).
Article
-
Buan, Aslak Bakke;
Krause, H.
(2004)
Tilting and cotilting for quivers of type (A)over-tilde(n).
Journal of Pure and Applied Algebra.
volum 190.
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.
volum 24.
Academic article
Scientific articles
-
Buan, Aslak Bakke;
Marsh, Bethany Rose.
(2021)
Tau-exceptional sequences.
Journal of Algebra.
volum 585 (1).
Academic article
-
Buan, Aslak Bakke;
Marsh, Robert James.
(2021)
A category of wide subcategories.
International mathematics research notices.
volum 2021 (13).
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.
volum 2021 (17).
Academic article
-
Buan, Aslak Bakke;
Krause, Henning;
Snashall, Nicole;
Solberg, Øyvind.
(2019)
Support varieties—an axiomatic approach.
Mathematische Zeitschrift.
Academic article
-
Buan, Aslak Bakke;
Zhou, Yu.
(2017)
Endomorphism algebras of 2-term silting complexes.
Algebras and Representation Theory.
volum 21 (1).
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.
volum 1.
Academic article
-
Rønning, Frode;
Buan, Aslak Bakke;
Langaas, Mette;
Thaule, Marius.
(2017)
Bruk av digitale øvinger i grunnutdanningen i matematikk.
Læring om læring.
volum 1.
Academic article
-
Thaule, Marius;
Buan, Aslak Bakke;
Langaas, Mette;
Rønning, Frode.
(2017)
Alternativ forelesningsstruktur i grunnutdanningen i matematikk.
Læring om læring.
volum 1 (1).
Academic article
-
Buan, Aslak Bakke;
Reiten, Idun;
Palu, Yann.
(2016)
Algebras of finite representation type arising from maximal rigid objects.
Journal of Algebra.
volum 446.
Academic article
-
Buan, Aslak Bakke;
Zhou, Yu.
(2016)
A silting theorem.
Journal of Pure and Applied Algebra.
volum 220 (7).
Academic article
-
Buan, Aslak Bakke;
Zhou, Yu.
(2016)
Silted algebras.
Advances in Mathematics.
volum 303.
Academic article
-
Baur, K;
Buan, Aslak Bakke;
Marsh, RJ.
(2014)
Torsion pairs and rigid objects in tubes.
Algebras and Representation Theory.
volum 17 (2).
Academic article
-
Buan, Aslak Bakke.
(2014)
Classifying torsion pairs for tame hereditary algebras and tubes.
Contemporary Mathematics.
volum 607.
Academic article
-
Buan, Aslak Bakke;
Marsh, RJ.
(2013)
FROM TRIANGULATED CATEGORIES TO MODULE CATEGORIES VIA LOCALISATION.
Transactions of the American Mathematical Society.
volum 365 (6).
Academic article
-
Bobinski, GRZEGORZ;
Buan, Aslak Bakke.
(2012)
THE ALGEBRAS DERIVED EQUIVALENT TO GENTLE CLUSTER TILTED ALGEBRAS.
Journal of Algebra and its Applications.
volum 11 (1).
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.
volum 86.
Academic article
-
Buan, Aslak Bakke;
Reiten, Idun;
Thomas, Hugh.
(2012)
From m-clusters to m-noncrossing partitions via exceptional sequences.
Mathematische Zeitschrift.
volum 271 (3-4).
Academic article
-
Buan, Aslak Bakke.
(2011)
AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES.
Bulletin of the Iranian Mathematical Society (BIMS).
volum 37 (2).
Academic article
-
Buan, Aslak Bakke;
Iyama, O;
Reiten, Idun;
Smith, D..
(2011)
MUTATION OF CLUSTER-TILTING OBJECTS AND POTENTIALS.
American Journal of Mathematics.
volum 133 (4).
Academic article
-
Buan, Aslak Bakke;
Reiten, Idun;
Thomas, Hugh.
(2011)
Three kinds of mutation.
Journal of Algebra.
volum 339 (1).
Academic article
-
Buan, Aslak Bakke;
Marsh, RJ;
Vatne, Dagfinn Furnes.
(2010)
Cluster structures from 2-Calabi-Yau categories with loops.
Mathematische Zeitschrift.
volum 265 (4).
Academic article
-
Buan, Aslak Bakke;
Marsh, Robert.
(2010)
Denominators in cluster algebras of affine type.
Journal of Algebra.
volum 323 (8).
Academic article
-
Buan, Aslak Bakke;
Iyama, O;
Reiten, Idun;
Scott, J.
(2009)
Cluster structures for 2-Calabi-Yau categories and unipotent groups.
Compositio Mathematica.
volum 145 (4).
Academic article
-
Buan, Aslak Bakke;
Marsh, RJ;
Reiten, Idun.
(2009)
Denominators of cluster variables.
Journal of the London Mathematical Society.
volum 79.
Academic article
-
Buan, Aslak Bakke;
Thomas, Hugh.
(2009)
Coloured quiver mutation for higher cluster categories.
Advances in Mathematics.
volum 222 (3).
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.
volum 16 (1).
Academic article
-
Buan, Aslak Bakke;
Marsh, RJ;
Reiten, I.
(2008)
Cluster mutation via quiver representations.
Commentarii Mathematici Helvetici.
volum 83.
Academic article
-
Buan, Aslak Bakke;
Vatne, DF.
(2008)
Derived equivalence classification for cluster-tilted algebras of type A(n).
Journal of Algebra.
volum 319.
Academic article
-
Buan, Aslak Bakke;
Krause, Henning;
Solberg, Øyvind.
(2007)
Support varieties - an ideal approach.
Homology, Homotopy and Applications.
volum 9 (1).
Academic article
-
Buan, Aslak Bakke;
Marsh, RJ;
Reiten, Idun.
(2007)
Cluster-tilted algebras.
Transactions of the American Mathematical Society.
volum 359.
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.
volum 135 (10).
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.
volum 211 (1).
Academic article
-
Buan, Aslak Bakke;
Marsh, Robert;
Reineke, Markus;
Reiten, Idun;
Todorov, Gordana.
(2006)
Tilting theory and cluster combinatorics.
Advances in Mathematics.
volum 204 (2).
Academic article
-
Reiten, Idun;
Buan, Aslak Bakke.
(2006)
Acyclic quivers of finite mutation type.
International mathematics research notices.
Academic article
-
Reiten, Idun;
Buan, Aslak Bakke;
Marsh, Robert.
(2006)
Cluster-tilted algebras of finite representation type.
Journal of Algebra.
volum 306 (2).
Academic article
-
Buan, Aslak Bakke;
Solberg, Øyvind.
(2005)
Limits of Pure-Injective Cotilting Modules.
Algebras and Representation Theory.
volum 8 (5).
Academic article
-
Buan, Aslak Bakke;
Krause, H.
(2004)
Tilting and cotilting for quivers of type (A)over-tilde(n).
Journal of Pure and Applied Algebra.
volum 190.
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.
volum 24.
Academic article
Journal publications
-
Buan, Aslak Bakke.
(2019)
From classical tilting to two-term silting.
Science China Mathematics.
volum 62 (7).
Scientific translation/review
-
Buan, Aslak Bakke;
Enge, Ole.
(2004)
Kryptografi i skolen.
?.
volum 15 (3).
Article
-
Buan, Aslak Bakke;
Enge, Ole.
(2004)
Kryptografi, del 2.
?.
volum 15 (4).
Article
Books
-
Buan, Aslak Bakke;
Reiten, Idun;
Solberg, Øyvind.
(2013)
Algebras, Quivers and Representations.
Springer Science+Business Media B.V.. 2013. ISBN 978-3-642-39484-3. Abel Symposia (8).
Scientific anthology
Teaching
Courses
Media
2019
-
PosterThaule, Marius; Bjørnland, Thea; Buan, Aslak Bakke; Kværnø, Anne; Langaas, Mette. (2019) Digitale læringsressurser i matematikk og statistikk. MNT-konferansen 2019 . Nasjonalt senter for realfagsrekruttering; Tromsø. 2019-03-28 - 2019-03-29.
2017
-
Academic lectureBuan, Aslak Bakke. (2017) From classical tilting to 2-term silting. International Workshop on Cluster Algebras and Related Topics . Chern Institute of Mathematics; Tianjin. 2017-07-10 - 2017-07-13.
-
Academic lectureBuan, Aslak Bakke. (2017) From classical tilting to 2-term silting (Luminy). ADVANCES IN REPRESENTATION THEORY OF ALGEBRAS: GEOMETRY AND HOMOLOGY . CIRM, Luminy; Luminy. 2017-09-04 - 2017-09-08.
-
Academic lectureBuan, Aslak Bakke. (2017) Sequences of tau−rigid modules. Workshop on representation theory of algebras . Tsinghua University; Beijing. 2017-07-04 - 2017-07-05.
-
Academic lectureBuan, Aslak Bakke. (2017) Sequences of tau-rigid modules (Xian). Algebra seminar, Shaaxi Normal University ; Xian. 2017-07-08 - 2017-07-08.
2003
-
Academic lectureGjerde, Marius; Mjølsnes, Stig Frode; Buan, Aslak Bakke. (2003) Decentralized Credentials. NORDSEC 2003 . [Mangler data]; Gjøvik. 2003-10-17.
-
Academic lectureGjerde, Marius; Mjølsnes, Stig Frode; Buan, Aslak Bakke. (2003) Digital Signatures by Decentralized Credentials. NIK'2003 . [Mangler data]; Oslo. 2003-11-26.