Aslak Bakke Buan

Professor

Department of Mathematical Sciences Faculty of Information Technology and Electrical Engineering

aslak.buan@ntnu.no +47 73550289

Sentralbygg 2, 846, Gløshaugen, Alfred Getz vei 1

aslak.buan@ntnu.no

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

Scientific, academic and artistic work

Displaying a selection of activities. See all publications in the database

Journal publications

Buan, Aslak Bakke. (2019) From classical tilting to two-term silting. Science China Mathematics. vol. 62 (7).
Buan, Aslak Bakke; Krause, Henning; Snashall, Nicole; Solberg, Øyvind. (2019) Support varieties—an axiomatic approach. Mathematische Zeitschrift.
Buan, Aslak Bakke; Marsh, Robert James. (2018) A category of wide subcategories. arXiv.org.
Buan, Aslak Bakke; Marsh, Robert James. (2018) tau-execeptional sequences. arXiv.org.
Buan, Aslak Bakke; Qiu, Yu; Zhou, Yu. (2018) Decorated marked surfaces III: The derived category of a decorated marked surface. arXiv.org.
Buan, Aslak Bakke; Zhou, Yu. (2017) Endomorphism algebras of 2-term silting complexes. Algebras and Representation Theory. vol. 21 (1).
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. vol. 1.
Rønning, Frode; Buan, Aslak Bakke; Langaas, Mette; Thaule, Marius. (2017) Bruk av digitale øvinger i grunnutdanningen i matematikk. Læring om læring. vol. 1.
Thaule, Marius; Buan, Aslak Bakke; Langaas, Mette; Rønning, Frode. (2017) Alternativ forelesningsstruktur i grunnutdanningen i matematikk. Læring om læring. vol. 1 (1).
Buan, Aslak Bakke; Reiten, Idun; Palu, Yann. (2016) Algebras of finite representation type arising from maximal rigid objects. Journal of Algebra. vol. 446.
Buan, Aslak Bakke; Zhou, Yu. (2016) A silting theorem. Journal of Pure and Applied Algebra. vol. 220 (7).
Buan, Aslak Bakke; Zhou, Yu. (2016) Silted algebras. Advances in Mathematics. vol. 303.
Baur, K; Buan, Aslak Bakke; Marsh, RJ. (2014) Torsion pairs and rigid objects in tubes. Algebras and Representation Theory. vol. 17 (2).
Buan, Aslak Bakke. (2014) Classifying torsion pairs for tame hereditary algebras and tubes. Contemporary Mathematics. vol. 607.
Buan, Aslak Bakke; Marsh, RJ. (2013) FROM TRIANGULATED CATEGORIES TO MODULE CATEGORIES VIA LOCALISATION. Transactions of the American Mathematical Society. vol. 365 (6).
Bobinski, GRZEGORZ; Buan, Aslak Bakke. (2012) THE ALGEBRAS DERIVED EQUIVALENT TO GENTLE CLUSTER TILTED ALGEBRAS. Journal of Algebra and its Applications. vol. 11 (1).
Buan, Aslak Bakke; Marsh, Robert. (2012) From triangulated categories to module categories via localization II: calculus of fractions. Journal of the London Mathematical Society. vol. 86.
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh. (2012) From m-clusters to m-noncrossing partitions via exceptional sequences. Mathematische Zeitschrift. vol. 271 (3-4).
Buan, Aslak Bakke. (2011) AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES. Bulletin of the Iranian Mathematical Society (BIMS). vol. 37 (2).
Buan, Aslak Bakke; Iyama, O; Reiten, Idun; Smith, D.. (2011) MUTATION OF CLUSTER-TILTING OBJECTS AND POTENTIALS. American Journal of Mathematics. vol. 133 (4).
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh. (2011) Three kinds of mutation. Journal of Algebra. vol. 339 (1).
Buan, Aslak Bakke; Marsh, RJ; Vatne, Dagfinn Furnes. (2010) Cluster structures from 2-Calabi-Yau categories with loops. Mathematische Zeitschrift. vol. 265 (4).
Buan, Aslak Bakke; Marsh, Robert. (2010) Denominators in cluster algebras of affine type. Journal of Algebra. vol. 323 (8).
Buan, Aslak Bakke; Iyama, O; Reiten, Idun; Scott, J. (2009) Cluster structures for 2-Calabi-Yau categories and unipotent groups. Compositio Mathematica. vol. 145 (4).
Buan, Aslak Bakke; Marsh, RJ; Reiten, Idun. (2009) Denominators of cluster variables. Journal of the London Mathematical Society. vol. 79.
Buan, Aslak Bakke; Thomas, Hugh. (2009) Coloured quiver mutation for higher cluster categories. Advances in Mathematics. vol. 222 (3).
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. vol. 16 (1).
Buan, Aslak Bakke; Marsh, RJ; Reiten, I. (2008) Cluster mutation via quiver representations. Commentarii Mathematici Helvetici. vol. 83.
Buan, Aslak Bakke; Vatne, DF. (2008) Derived equivalence classification for cluster-tilted algebras of type A(n). Journal of Algebra. vol. 319.
Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2007) Support varieties - an ideal approach. Homology, Homotopy and Applications. vol. 9 (1).
Buan, Aslak Bakke; Marsh, RJ; Reiten, Idun. (2007) Cluster-tilted algebras. Transactions of the American Mathematical Society. vol. 359.
Buan, Aslak Bakke; Reiten, Idun; Marsh, Robert; Todorov, Gordana. (2007) Clusters and seeds in acyclic cluster algebras. Proceedings of the American Mathematical Society. vol. 135 (10).
Buan, Aslak Bakke; Reiten, Idun; seven, ahmet. (2007) Tame concealed algebras and cluster quivers of minimal infinite type. Journal of Pure and Applied Algebra. vol. 211 (1).
Buan, Aslak Bakke; Marsh, Robert; Reineke, Markus; Reiten, Idun; Todorov, Gordana. (2006) Tilting theory and cluster combinatorics. Advances in Mathematics. vol. 204 (2).
Reiten, Idun; Buan, Aslak Bakke. (2006) Acyclic quivers of finite mutation type. International mathematics research notices.
Reiten, Idun; Buan, Aslak Bakke; Marsh, Robert. (2006) Cluster-tilted algebras of finite representation type. Journal of Algebra. vol. 306 (2).
Buan, Aslak Bakke; Solberg, Øyvind. (2005) Limits of Pure-Injective Cotilting Modules. Algebras and Representation Theory. vol. 8 (5).
Buan, Aslak Bakke; Enge, Ole. (2004) Kryptografi i skolen. ?. vol. 15 (3).
Buan, Aslak Bakke; Enge, Ole. (2004) Kryptografi, del 2. ?. vol. 15 (4).
Buan, Aslak Bakke; Krause, H. (2004) Tilting and cotilting for quivers of type (A)over-tilde(n). Journal of Pure and Applied Algebra. vol. 190.
Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2002) On the lattice of cotilting modules. AMA : Algebra Montpellier Announcements : Annonces de Montpellier en Algèbre.
Buan, Aslak Bakke; Solberg, Øyvind. (1998) Relative cotilting theory and almost complete cotilting modules. CMS Conference Proceedings Series. vol. 24.

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).

Others

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