Petter Andreas Bergh

Associate professor at the Department of mathematical sciences, NTNU Member of the Algebra Group

Contact information: Office: Room 840, Sentralbygg 2 Phone: +47 73593409 Email: bergh(at)math.ntnu.no

Papers:

1. Complexity and periodicity, Colloq. Math. 104 (2006), no. 2, 169-191 pdf
2. Modules with reducible complexity, J. Algebra 310 (2007), no. 1, 132-147 pdf
3. On support varieties for modules over complete intersections, Proc. Amer. Math. Soc. 135 (2007), no. 12, 3795-3803 pdf
4. On the Hochschild (co)homology of quantum exterior algebras, Comm. Algebra 35 (2007), no. 11, 3440-3450 pdf
5. On the vanishing of (co)homology over local rings, J. Pure Appl. Algebra 212 (2008), no. 1, 262-270 pdf
6. Twisted support varieties, J. Pure Appl. Algebra 212 (2008), no. 4, 753-773 pdf
7. (With Steffen Oppermann) The representation dimension of quantum complete intersections, J. Algebra 320 (2008), no. 1, 354-368 pdf
8. Representation dimension and finitely generated cohomology, Adv. Math. 219 (2008), no. 1, 389-400 pdf
9. (With Karin Erdmann) Homology and cohomology of quantum complete intersections, Algebra Number Theory 2 (2008), no. 5, 501-522 pdf
10. (With Steffen Oppermann) Cohomology of twisted tensor products, J. Algebra 320 (2008), no. 8, 3327-3338 pdf
11. Orbit algebras and periodicity, Colloq. Math. 114 (2009), no. 2, 245-252 pdf
12. (With Karin Erdmann) The Avrunin-Scott theorem for quantum complete intersections, J. Algebra 322 (2009), no. 2, 479-488 pdf
13. (With Dag Madsen) Hochschild homology and global dimension, Bull. London Math. Soc. 41 (2009), no. 3, 473-482 pdf
14. Modules with reducible complexity, II, Comm. Algebra 37 (2009), no. 6, 1908-1920 pdf
15. Ext-symmetry over quantum complete intersections, Arch. Math. 92 (2009), no. 6, 566-573 pdf
16. On complexes of finite complete intersection dimension, Homology, Homotopy Appl. 11 (2009), no. 2, 49-54 pdf
17. (With Øyvind Solberg) Relative support varieties, Q. J. Math. 61 (2010), no. 2, 171-182 pdf
18. (With Srikanth Iyengar, Henning Krause, Steffen Oppermann) Dimensions of triangulated categories via Koszul objects, Math. Z. 265 (2010), no. 4, 849-864 pdf
19. (With Dag Madsen) Hochschild homology and split pairs, Bull. Sci. Math. 134 (2010), 665-676 pdf
20. (With Dave Jorgensen) On the vanishing of homology for modules of finite complete intersection dimension, J. Pure Appl. Algebra 215 (2011), 242-252 pdf
21. (With Karin Erdmann) The stable Auslander-Reiten quiver of a quantum complete intersection, Bull. London Math. Soc. 43 (2011), no. 1, 79-90 pdf
22. (With Karin Erdmann) The representation dimension of Hecke algebras and symmetric groups, Adv. Math. 228 (2011), no. 4, 2503-2521 pdf
23. On the vanishing of cohomology in triangulated categories, Homology, Homotopy Appl. 13 (2011), no. 2, 19-36 pdf
24. (With Steffen Oppermann) Cohomological symmetry in triangulated categories, J. Algebra 347 (2011), no. 1, 143-152 pdf
25. (With Steffen Oppermann) Cluster tilting and complexity, Int. Math. Res. Not. (2011), no. 22, 5241-5258 pdf
26. (With Yang Han and Dag Madsen) Hochschild homology and truncated cycles, Proc. Amer. Math. Soc. 140 (2012), no. 4, 1133-1139 pdf
27. (With Dave Jorgensen) The depth formula for modules with reducible complexity, to appear in Illinois J. Math. pdf
28. (With Dave Jorgensen) Tate-Hochschild homology and cohomology of Frobenius algebras, to appear in J. Noncommut. Geom. pdf
29. On the vanishing of homology with modules of finite length, to appear in Math. Scand. pdf
30. (With Dave Jorgensen) On growth in totally acyclic minimal complexes, preprint pdf
31. (With Dave Jorgensen and Olgur Celikbas) Homological algebra modulo exact zero-divisors, preprint pdf
32. (With Marius Thaule) The axioms for n-angulated categories, preprint pdf

Other publications

1. Support via central ring actions, Oberwolfach Rep. 6 (2009), no. 1, 553-555 pdf
2. (With Karin Erdmann) Support and rank varieties for quantum complete intersections, Oberwolfach Rep. 6 (2009), no. 1, 556-558 pdf