Publications

Published research monographs

  1. Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland, Noncommutative Deformation Theory, Monographs and Research Notes in Mathematics, Chapman and Hall/CRC, 2017 - Review on MathSciNet

Selected published papers

  1. Eivind Eriksen and Arvid Siqveland, Geometry of noncommutative algebras, Banach Center Publ. 93 (2011), 69-82
  2. Eivind Eriksen and Trond S. Gustavsen, Equivariant Lie-Rinehart cohomology, Proc. Estonian Acad. Sci. Phys. Math. 59 (2010), no. 4, 294-300
  3. Eivind Eriksen, Computing noncommutative deformations of presheaves and sheaves of modules, Canad. J. Math. 62 (2010), no. 3, 520-542
  4. Eivind Eriksen and Trond S. Gustavsen, Lie-Rinehart cohomology and integrable connections on modules of rank one, J. Algebra 322 (2009), no. 12, 4283-4294
  5. Eivind Eriksen and Trond S. Gustavsen, Connections on modules over singularities of finite and tame CM representation type, Generalized Lie Theory in Mathematics, Physics and Beyond, 99-108, Springer, 2008
  6. Eivind Eriksen, Connections on modules over quasi-homogeneous plane curves, Comm. Algebra 36 (2008), no. 8, 3032 - 3041
  7. Eivind Eriksen and Trond S. Gustavsen, Connections on modules over singularities of finite CM representation type, J.Pure Appl. Algebra 212 (2008), no. 7, 1561-1574
  8. Eivind Eriksen and Trond S. Gustavsen, Computing obstructions for existence of connections on modules, J. Symb. Comput. 42 (2007), no. 3, 313-323
  9. Eivind Eriksen, An introduction to noncommutative deformations of modules, Noncommutative Algebra and Geometry, 90-125, Lect. Notes Pure Appl. Maths., 243, Chapman & Hall/CRC, 2005
  10. Eivind Eriksen, Differential operators on monomial curves, J. Algebra 264 (2003), no. 1, 186-198

Submitted papers

  1. Eivind Eriksen and Arvid Siqveland, On the Generalized Burnside Theorem, 15pp
  2. Eivind Eriksen, Graded Holonomic D-modules on Monomial Curves, 12pp
  3. Eivind Eriksen, Iterated Extensions and Uniserial Length Categories, 16pp
  4. Eivind Eriksen, Coherent rings of differential operators, 8pp

Other published papers

  1. Eivind Eriksen, Computing noncommutative deformations, Algebra, Geometry and Mathematical Physics 285-291, Springer, 2014
  2. Eivind Eriksen, The Generalized Burnside Theorem in noncommutative deformation theory, J. Gen. Lie Theory Appl. 5 (2011), 5 pages
  3. Eivind Eriksen, Computing noncommutative global deformations of D-modules, Generalized Lie Theory in Mathematics, Physics and Beyond, 109-117, Springer, 2008
  4. Eivind Eriksen, An example of noncommutative deformations, J. Gen. Lie Theory Appl. 2 (2008), no. 3, 152-156

Preprints, e-prints and manuscripts

  1. Eivind Eriksen and Trond S. Gustavsen, Connections on modules over singularities of finite CM representation type (extended preprint version), arXiv: math/0606638 (2006), 26pp

Theses

  1. Eivind Eriksen, Graded D-modules on monomial curves, Ph.D. thesis, University of Oslo (2000)
  2. Eivind Eriksen, Konneksjoner og monodromi på en klasse moduler over simple kurve-singulariteter, Master thesis, University of Oslo (1994)