Petter Andreas Bergh

Contact information:


Office:

Room 840,
Sentralbygg 2

Phone:

+47 73593409

Email:

bergh(at)math.ntnu.no


Mathematical interests:

Teaching:
  • MA1202 Linear algebra and applications (spring 2010)
  • Seminar on triangulated categories (spring 2010)
  • MA1301 Number theory (fall 2010)
  • MA1202 Linear algebra and applications (spring 2011)
  • MA1301 Number theory (fall 2011)
  • MA1202 Linear algebra and applications (spring 2012)

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 Øvind 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 Dave Jorgensen) The depth formula for modules with reducible complexity, Illinois J. Math. 55 (2011), no. 2, 465-478 pdf
  27. (With Yang Han and Dag Madsen) Hochschild homology and truncated cycles, Proc. Amer. Math. Soc. 140 (2012), no. 4, 1133-1139 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, to appear in J. Commut. Algebra pdf
  31. (With Marius Thaule) The axioms for n-angulated categories, to appear in Algebr. Geom. Topol. pdf
  32. (With Marius Thaule) The Grothendieck group of an n-angulated category, to appear in J. Pure Appl. Algebra pdf
  33. (With Dave Jorgensen and Olgur Celikbas) Homological algebra modulo exact zero-divisors, preprint pdf
  34. (With Dave Jorgensen and Steffen Oppermann) The Gorenstein defect category, preprint pdf
  35. (With Will Turner) On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras, preprint pdf
  36. (With Dave Jorgensen and Steffen Oppermann) The negative side of cohomology for Calabi-Yau categories, preprint pdf
  37. On the existence of cluster tilting objects in Calabi-Yau categories, preprint pdf
  38. Central ring actions and Betti polynomials, 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