Øyvind Solberg
About
Øyvind Solberg (1961) is a Professor at the Department of Mathematical Sciences. He is a member of the Algebra Group. Professor Solberg has a Cand.mag, Cand.scient and a Dr.Scient degree from NTNU.
Recent Work Experience
- 1997- Professor, dept. of mathematical sciences, NTNU
- 1992-1997 Associate Professor, NTNU
- 1989-1992 Researcher, The Norwegian State Administration Database
Research leaves
- 2009 Universität Paderborn, Germany. Oxford University, England
- 2008 Ioannina University, Greece. Nagoya University, Japan
- 2004 Virginia Tech
- 2003 University of Leeds, University of Leicester, England. Universität Paderborn, Germany
- 1997 Virginia Tech, USA
- 1996 Universität Bielefeld, Germany
- 1987 and 1990/92 Brandeis University, USA
Memberships
- American Mathematical Society
- Norwegian Mathematical Society
- Det kongelige Norske Videnskabers Selskab (DKNVS)
Scientific awards
- DKNVS Akademiets prize for young researchers, 1992
Øyvind Solberg has supervised 8 graduated doctoral candidates, and supervising 1 PhD candidate from the beginning of July/August 2017.
Competencies
Publications
2022
- Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind. (2022) HOMOLOGICAL INVARIANTS OF THE ARROW REMOVAL OPERATION. Representation Theory: An Electronic Journal of the AMS. volum 26.
2021
- GREEN, EDWARD L.; PSAROUDAKIS, CHRYSOSTOMOS; Solberg, Øyvind. (2021) Reduction techniques for the finitistic dimension. Transactions of the American Mathematical Society. volum 374 (10).
2020
- Bergh, Petter Andreas; Sandøy, Mads Hustad; Solberg, Øyvind. (2020) On support varieties and tensor products for finite dimensional algebras. Journal of Algebra. volum 547.
2019
- Buan, Aslak Bakke; Krause, Henning; Snashall, Nicole; Solberg, Øyvind. (2019) Support varieties—an axiomatic approach. Mathematische Zeitschrift.
- Erdmann, Karin; Solberg, Øyvind; Wang, Xingting. (2019) On the structure and cohomology ring of connected Hopf algebras. Journal of Algebra. volum 527.
2018
- Iyama, Osamu; Solberg, Øyvind. (2018) Auslander-Gorenstein algebras and precluster tilting. Advances in Mathematics. volum 326.
- Solberg, Øyvind. (2018) Going relative with Maurice—a survey. Contemporary Mathematics. volum 716.
2016
- Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; Zacharia, Dan. (2016) On the diagonal subalgebra of an Ext-algebra. Journal of Pure and Applied Algebra. volum 221.
2014
- Solberg, Øyvind; Skartsæterhagen, Øystein I; Psaroudakis, Chrysostomos. (2014) Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements. Transactions of the American Mathematical Society. volum 1.
2013
- 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).
2011
- Erdmann, Karin; Solberg, Øyvind. (2011) Radical cube zero selfinjective algebras of finite complexity. Journal of Pure and Applied Algebra. volum 215 (7).
- Erdmann, Karin; Solberg, Øyvind. (2011) Radical cube zero weakly symmetric algebras and support varieties. Journal of Pure and Applied Algebra. volum 215 (2).
- Martinez-Villa, Roberto; Solberg, Øyvind. (2011) Artin-Schelter regular algebras and categories. Journal of Pure and Applied Algebra. volum 215 (4).
2010
- Bergh, Petter Andreas; Solberg, Øyvind. (2010) Relative support varieties. Quarterly Journal of Mathematics. volum 61 (2).
- Martinez-Villa, Roberto; Solberg, Øyvind. (2010) Graded and Koszul categories. Applied Categorical Structures. volum 18 (6).
- Martinez-Villa, Roberto; Solberg, Øyvind. (2010) Noetherianity and Gelfand-Kirillov dimension of components. Journal of Algebra. volum 323 (5).
2009
- Martinez-Villa, Roberto; Solberg, Øyvind. (2009) Serre duality for Artin-Schelter regular K-categories. International Journal of Algebra. volum 3 (8).
2008
- Buchweitz, Ragnar-Olaf; Green, Edward L.; Snashall, Nicole; Solberg, Øyvind. (2008) Multiplicative structures for Koszul algebras. Quarterly Journal of Mathematics. volum 59.
- Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; Zacharia, Dan. (2008) Noetherianity and Ext. Journal of Pure and Applied Algebra. volum 212 (7).
2007
- Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2007) Support varieties - an ideal approach. Homology, Homotopy and Applications. volum 9 (1).
- Solberg, Øyvind. (2007) Infinite dimensional tilting modules over finite dimensional algebras. London Mathematical Society Lecture Notes.
- Solberg, Øyvind; Green, Edward L.. (2007) An algorithmic approach to resolutions. Journal of symbolic computation. volum 42 (11-12).
2006
- Solberg, Øyvind. (2006) Support varieties for modules and complexes. Contemporary Mathematics. volum 406.
- Solberg, Øyvind; Snashall, Nicole; Green, Edward L.. (2006) The Hochschild cohomology ring modulo nilpotence of a monomial algebra. Journal of Algebra and its Applications. volum 5 (2).
2005
- Buan, Aslak Bakke; Solberg, Øyvind. (2005) Limits of Pure-Injective Cotilting Modules. Algebras and Representation Theory. volum 8 (5).
- Buchweitz, Ragnar-Olaf; Green, Edward L.; Madsen, Dag Oskar; Solberg, Øyvind. (2005) Finite Hochshcild cohomology without finite global dimension. Mathematical Research Letters. volum 12.
- Green, Edward L.; Hartman, Gregory; Marcos, Eduardo N.; Solberg, Øyvind. (2005) Resolutions over Koszul algebras. Archiv der Mathematik. volum 85.
2004
- Solberg, Øyvind; Erdmann, Karin; Holloway, Miles; Snashall, Nicole; Taillefer, Rachel. (2004) Support varieties for selfinjective algebras. K-theory. volum 33 (1).
- Snashall, Nicole; Solberg, Øyvind. (2004) Support varieties and hochschild cohomology rings. Proceedings of the London Mathematical Society. volum 88 (3).
2003
- Snashall, Nicole; Solberg, Øyvind; Green, Edward L.. (2003) The Hochschild cohomology ring of a selfinjective algebra of finite representation type. Proceedings of the American Mathematical Society. volum 131.
- Solberg, Øyvind; Krause, Henning. (2003) Applications of cotorsion pairs. Journal of the London Mathematical Society. volum 68 (3).
- Solberg, Øyvind; Krause, Henning. (2003) Filtering modules of finite projective dimension. Forum mathematicum. volum 15.
2002
- Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2002) On the lattice of cotilting modules. AMA : Algebra Montpellier Announcements : Annonces de Montpellier en Algèbre.
- Green, Edward L.; Reiten, Idun; Solberg, Øyvind. (2002) Dualities on generalized Koszul algebras. 2002. ISBN 0-8218-2934-3. Memoirs, Amer. Math. Soc. (159).
- Green, Edward L.; Solberg, Øyvind. (2002) Hochschild cohomology rings and triangular rings. Proceedings of the Ninth International Conference, Beijing, 2000, eds. Dieter Happel, Yingbo, B. Zhang, Beijing Normal University Press. volum vol. II.
2001
- Dräxler, Peter; Solberg, Øyvind. (2001) Exact factors of exact categories. Boletín de la Sociedad Matemática Mexicana. volum 7 (3).
- Green, Edward L.; Solberg, Øyvind; Zacharia, Dan. (2001) Minimal projective resolutions. Transactions of the American Mathematical Society. volum 353.
1999
- Dräxler, Peter; Reiten, Idun; Smalø, Sverre Olaf; Solberg, Øyvind. (1999) Exact categories and vector space categories. Transactions of the American Mathematical Society. volum 351 (2).
1998
- Buan, Aslak Bakke; Solberg, Øyvind. (1998) Relative cotilting theory and almost complete cotilting modules. CMS Conference Proceedings Series. volum 24.
- Green, Edward L.; Martinez-Villa, Roberto; Reiten, Idun; Solberg, Øyvind; Zacharia, Dan. (1998) On modules with linear presentations. Journal of Algebra. volum 205 (2).
- Green, Edward L.; Solberg, Øyvind. (1998) Basic Hopf algebras and quantum groups. Mathematische Zeitschrift. volum 229 (1).
- Michler, Gerhard; Solberg, Øyvind. (1998) Testing modules of groups of even order for simplicity. Journal of Algebra. volum 202 (1).
- Reiten, Idun; Smalø, Sverre Olaf; Solberg, Øyvind. (1998) Algebras and Modules I. 1998.
- Reiten, Idun; Smalø, Sverre Olaf; Solberg, Øyvind. (1998) Algebras and Modules II. 1998.
1996
- Green, Edward L.; Marcos, Eduardo N.; Solberg, Øyvind. (1996) Representations and almost split sequences for Hopf algebras. CMS Conference Proceedings Series. volum 18.
- Michler, Gerhard; Solberg, Øyvind. (1996) The representation-finite symmetric algebras with liftable simple modules. Archiv der Mathematik. volum 66 (6).
1994
- Auslander, Maurice; Solberg, Øyvind. (1994) Relative homology. NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences. volum 424.
1993
- Auslander, Maurice; Ding, Songqing; Solberg, Øyvind. (1993) Liftings and weak liftings of modules. Journal of Algebra. volum 156 (2).
- Auslander, Maurice; Solberg, Øyvind. (1993) Gorenstein algebras and algebras with dominant dimension at least 2. Communications in Algebra. volum 21 (11).
- Auslander, Maurice; Solberg, Øyvind. (1993) Relative homology and representation theory I, Relative homology and homologically finite subcategories. Communications in Algebra. volum 21 (9).
- Auslander, Maurice; Solberg, Øyvind. (1993) Relative homology and representation theory II, Relative cotilting theory. Communications in Algebra. volum 21 (9).
- Auslander, Maurice; Solberg, Øyvind. (1993) Relative homology and representation theory III, Cotilting modules and Wedderburn correspondence. Communications in Algebra. volum 21 (9).
- Solberg, Øyvind. (1993) The Maranda theorem and liftings of modules. Communications in Algebra. volum 21 (4).
1990
- Solberg, Øyvind. (1990) Grothendieck groups for hypersurface rings. Proceedings of the American Mathematical Society. volum 109 (4).
1989
- Solberg, Øyvind. (1989) Hopf algebra constructions and representation theory. Communications in Algebra. volum 17 (7).
- Solberg, Øyvind. (1989) Hypersurface singularities of finite Cohen-Macaulay type. Proceedings of the London Mathematical Society. volum 58 (3).
- Solberg, Øyvind. (1989) Strongly graded rings and almost split sequences. Journal of Algebra. volum 126 (1).
1988
- Solberg, Øyvind. (1988) A graded ring of finite Cohen-Macaulay type. Communications in Algebra. volum 16 (10).
Journal publications
- Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind. (2022) HOMOLOGICAL INVARIANTS OF THE ARROW REMOVAL OPERATION. Representation Theory: An Electronic Journal of the AMS. volum 26.
- GREEN, EDWARD L.; PSAROUDAKIS, CHRYSOSTOMOS; Solberg, Øyvind. (2021) Reduction techniques for the finitistic dimension. Transactions of the American Mathematical Society. volum 374 (10).
- Bergh, Petter Andreas; Sandøy, Mads Hustad; Solberg, Øyvind. (2020) On support varieties and tensor products for finite dimensional algebras. Journal of Algebra. volum 547.
- Buan, Aslak Bakke; Krause, Henning; Snashall, Nicole; Solberg, Øyvind. (2019) Support varieties—an axiomatic approach. Mathematische Zeitschrift.
- Erdmann, Karin; Solberg, Øyvind; Wang, Xingting. (2019) On the structure and cohomology ring of connected Hopf algebras. Journal of Algebra. volum 527.
- Iyama, Osamu; Solberg, Øyvind. (2018) Auslander-Gorenstein algebras and precluster tilting. Advances in Mathematics. volum 326.
- Solberg, Øyvind. (2018) Going relative with Maurice—a survey. Contemporary Mathematics. volum 716.
- Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; Zacharia, Dan. (2016) On the diagonal subalgebra of an Ext-algebra. Journal of Pure and Applied Algebra. volum 221.
- Solberg, Øyvind; Skartsæterhagen, Øystein I; Psaroudakis, Chrysostomos. (2014) Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements. Transactions of the American Mathematical Society. volum 1.
- Erdmann, Karin; Solberg, Øyvind. (2011) Radical cube zero selfinjective algebras of finite complexity. Journal of Pure and Applied Algebra. volum 215 (7).
- Erdmann, Karin; Solberg, Øyvind. (2011) Radical cube zero weakly symmetric algebras and support varieties. Journal of Pure and Applied Algebra. volum 215 (2).
- Martinez-Villa, Roberto; Solberg, Øyvind. (2011) Artin-Schelter regular algebras and categories. Journal of Pure and Applied Algebra. volum 215 (4).
- Bergh, Petter Andreas; Solberg, Øyvind. (2010) Relative support varieties. Quarterly Journal of Mathematics. volum 61 (2).
- Martinez-Villa, Roberto; Solberg, Øyvind. (2010) Graded and Koszul categories. Applied Categorical Structures. volum 18 (6).
- Martinez-Villa, Roberto; Solberg, Øyvind. (2010) Noetherianity and Gelfand-Kirillov dimension of components. Journal of Algebra. volum 323 (5).
- Martinez-Villa, Roberto; Solberg, Øyvind. (2009) Serre duality for Artin-Schelter regular K-categories. International Journal of Algebra. volum 3 (8).
- Buchweitz, Ragnar-Olaf; Green, Edward L.; Snashall, Nicole; Solberg, Øyvind. (2008) Multiplicative structures for Koszul algebras. Quarterly Journal of Mathematics. volum 59.
- Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; Zacharia, Dan. (2008) Noetherianity and Ext. Journal of Pure and Applied Algebra. volum 212 (7).
- Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2007) Support varieties - an ideal approach. Homology, Homotopy and Applications. volum 9 (1).
- Solberg, Øyvind. (2007) Infinite dimensional tilting modules over finite dimensional algebras. London Mathematical Society Lecture Notes.
- Solberg, Øyvind; Green, Edward L.. (2007) An algorithmic approach to resolutions. Journal of symbolic computation. volum 42 (11-12).
- Solberg, Øyvind. (2006) Support varieties for modules and complexes. Contemporary Mathematics. volum 406.
- Solberg, Øyvind; Snashall, Nicole; Green, Edward L.. (2006) The Hochschild cohomology ring modulo nilpotence of a monomial algebra. Journal of Algebra and its Applications. volum 5 (2).
- Buan, Aslak Bakke; Solberg, Øyvind. (2005) Limits of Pure-Injective Cotilting Modules. Algebras and Representation Theory. volum 8 (5).
- Buchweitz, Ragnar-Olaf; Green, Edward L.; Madsen, Dag Oskar; Solberg, Øyvind. (2005) Finite Hochshcild cohomology without finite global dimension. Mathematical Research Letters. volum 12.
- Green, Edward L.; Hartman, Gregory; Marcos, Eduardo N.; Solberg, Øyvind. (2005) Resolutions over Koszul algebras. Archiv der Mathematik. volum 85.
- Solberg, Øyvind; Erdmann, Karin; Holloway, Miles; Snashall, Nicole; Taillefer, Rachel. (2004) Support varieties for selfinjective algebras. K-theory. volum 33 (1).
- Snashall, Nicole; Solberg, Øyvind. (2004) Support varieties and hochschild cohomology rings. Proceedings of the London Mathematical Society. volum 88 (3).
- Snashall, Nicole; Solberg, Øyvind; Green, Edward L.. (2003) The Hochschild cohomology ring of a selfinjective algebra of finite representation type. Proceedings of the American Mathematical Society. volum 131.
- Solberg, Øyvind; Krause, Henning. (2003) Applications of cotorsion pairs. Journal of the London Mathematical Society. volum 68 (3).
- Solberg, Øyvind; Krause, Henning. (2003) Filtering modules of finite projective dimension. Forum mathematicum. volum 15.
- Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind. (2002) On the lattice of cotilting modules. AMA : Algebra Montpellier Announcements : Annonces de Montpellier en Algèbre.
- Green, Edward L.; Solberg, Øyvind. (2002) Hochschild cohomology rings and triangular rings. Proceedings of the Ninth International Conference, Beijing, 2000, eds. Dieter Happel, Yingbo, B. Zhang, Beijing Normal University Press. volum vol. II.
- Dräxler, Peter; Solberg, Øyvind. (2001) Exact factors of exact categories. Boletín de la Sociedad Matemática Mexicana. volum 7 (3).
- Green, Edward L.; Solberg, Øyvind; Zacharia, Dan. (2001) Minimal projective resolutions. Transactions of the American Mathematical Society. volum 353.
- Dräxler, Peter; Reiten, Idun; Smalø, Sverre Olaf; Solberg, Øyvind. (1999) Exact categories and vector space categories. Transactions of the American Mathematical Society. volum 351 (2).
- Buan, Aslak Bakke; Solberg, Øyvind. (1998) Relative cotilting theory and almost complete cotilting modules. CMS Conference Proceedings Series. volum 24.
- Green, Edward L.; Martinez-Villa, Roberto; Reiten, Idun; Solberg, Øyvind; Zacharia, Dan. (1998) On modules with linear presentations. Journal of Algebra. volum 205 (2).
- Green, Edward L.; Solberg, Øyvind. (1998) Basic Hopf algebras and quantum groups. Mathematische Zeitschrift. volum 229 (1).
- Michler, Gerhard; Solberg, Øyvind. (1998) Testing modules of groups of even order for simplicity. Journal of Algebra. volum 202 (1).
- Green, Edward L.; Marcos, Eduardo N.; Solberg, Øyvind. (1996) Representations and almost split sequences for Hopf algebras. CMS Conference Proceedings Series. volum 18.
- Michler, Gerhard; Solberg, Øyvind. (1996) The representation-finite symmetric algebras with liftable simple modules. Archiv der Mathematik. volum 66 (6).
- Auslander, Maurice; Solberg, Øyvind. (1994) Relative homology. NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences. volum 424.
- Auslander, Maurice; Ding, Songqing; Solberg, Øyvind. (1993) Liftings and weak liftings of modules. Journal of Algebra. volum 156 (2).
- Auslander, Maurice; Solberg, Øyvind. (1993) Gorenstein algebras and algebras with dominant dimension at least 2. Communications in Algebra. volum 21 (11).
- Auslander, Maurice; Solberg, Øyvind. (1993) Relative homology and representation theory I, Relative homology and homologically finite subcategories. Communications in Algebra. volum 21 (9).
- Auslander, Maurice; Solberg, Øyvind. (1993) Relative homology and representation theory II, Relative cotilting theory. Communications in Algebra. volum 21 (9).
- Auslander, Maurice; Solberg, Øyvind. (1993) Relative homology and representation theory III, Cotilting modules and Wedderburn correspondence. Communications in Algebra. volum 21 (9).
- Solberg, Øyvind. (1993) The Maranda theorem and liftings of modules. Communications in Algebra. volum 21 (4).
- Solberg, Øyvind. (1990) Grothendieck groups for hypersurface rings. Proceedings of the American Mathematical Society. volum 109 (4).
- Solberg, Øyvind. (1989) Hopf algebra constructions and representation theory. Communications in Algebra. volum 17 (7).
- Solberg, Øyvind. (1989) Hypersurface singularities of finite Cohen-Macaulay type. Proceedings of the London Mathematical Society. volum 58 (3).
- Solberg, Øyvind. (1989) Strongly graded rings and almost split sequences. Journal of Algebra. volum 126 (1).
- Solberg, Øyvind. (1988) A graded ring of finite Cohen-Macaulay type. Communications in Algebra. volum 16 (10).
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).
- Green, Edward L.; Reiten, Idun; Solberg, Øyvind. (2002) Dualities on generalized Koszul algebras. 2002. ISBN 0-8218-2934-3. Memoirs, Amer. Math. Soc. (159).
- Reiten, Idun; Smalø, Sverre Olaf; Solberg, Øyvind. (1998) Algebras and Modules I. 1998.
- Reiten, Idun; Smalø, Sverre Olaf; Solberg, Øyvind. (1998) Algebras and Modules II. 1998.
Teaching
Courses
- MA3001 - Mathematical Seminar for Master Degree Students 1
- MA3004 - Mathematical Seminar for Master Degree Students 1
- MA2002 - Bachelor's Project in Mathematical Studies
- MA3003 - Mathematical Seminar for Master Degree Students 2
- MA1201 - Linear Algebra and Geometry
- MA3911 - Master Thesis in Mathematical Sciences
- TMA4150 - Algebra