Petter Andreas Bergh


Contact information:

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

Mathematical interests:

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. Lond. 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, to appear in Q. J. Math. pdf
  18. (With Srikanth Iyengar, Henning Krause, Steffen Oppermann) Dimensions of triangulated categories via Koszul objects, to appear in Math. Z. pdf
  19. On the vanishing of cohomology in triangulated categories, preprint 2008 pdf
  20. (With Dave Jorgensen) On the vanishing of homology for modules of finite complete intersection dimension, preprint 2009 pdf
  21. (With Dave Jorgensen) On growth in totally acyclic minimal complexes, preprint 2009 pdf
  22. On the vanishing of homology with modules of finite length, preprint 2009 pdf
  23. Betti polynomials in triangulated categories, preprint 2009
  24. The Krull dimension of the stable module category of a group ring, preprint 2009 pdf
  25. On the Hochschild homology of split pairs, preprint 2009 pdf
  26. (With Dave Jorgensen) The depth formula for modules with reducible complexity, preprint 2009 pdf
  27. (With Karin Erdmann) The stable Auslander-Reiten quiver of a quantum complete intersection, preprint 2009 pdf

Other publications

  1. Support via central ring actions, Oberwolfach Rep. 10 (2009) pdf
  2. (With Karin Erdmann) Support and rank varieties for quantum complete intersections, Oberwolfach Rep. 10 (2009) pdf