# Eivind Eriksen

Associate Professor - Department of Economics

## Biography

Noncommutative algebraic geometry.

Moduli problems and (noncommutative) deformation theory.

Differential structures in algebraic geometry (rings of differential operators, connections, D-modules).

Representation theory.

For further information, please see my personal homepage.

## Publications

### Eriksen, Eivind; Laudal, Olav Arnfinn & Siqveland, Arvid (2017)

*Noncommutative Deformation Theory*

CRC Press.

### Eriksen, Eivind (2014)

*Computing Noncommutative Deformations*

Makhlouf, Abdenacer; Paal, Eugen, Silvestrov, Sergei & Stolin, Alexander (red.). Algebra, Geometry and Mathematical Physics

### Eriksen, Eivind & Siqveland, Arvid (2011)

*Geometry of Noncommutative Algebras*

*Banach Center Publications*, *93*, s. 69- 82. Doi: 10.4064/bc93-0-6

### Eriksen, Eivind (2011)

*The Generalized Burnside Theorem in Noncommutative Deformation Theory*

*Journal of Generalized Lie Theory and Applications*, *5* Doi: 10.4303/jglta/G110109

### Eriksen, Eivind & Gustavsen, Trond Stølen (2010)

*Equivariant Lie-Rinehart cohomology*

*Proceedings of the Estonian Academy of Sciences : Physics, Mathematics*, *59(4)*, s. 294- 300. Doi: 10.3176/proc.2010.4.07

### Eriksen, Eivind (2010)

*Computing Noncommutative Deformations of Presheaves and Sheaves of Modules*

*Canadian Journal of Mathematics - Journal Canadien de Mathematiques*, *62(3)*, s. 520- 542. Doi: 10.4153/CJM-2010-015-6

### Eriksen, Eivind & Gustavsen, Trond Stølen (2009)

*Lie-Rinehart cohomology and integrable connections on modules of rank one*

*Journal of Algebra*, *322(12)*, s. 4283- 4294.

### Eriksen, Eivind & Gustavsen, Trond (2009)

*Lie-Rinehart cohomology and integrable connections on modules of rank one*

*Journal of Algebra*, *322(12)*, s. 4283- 4294. Doi: doi:10.1016/j.jalgebra.2009.09.015

### Eriksen, Eivind & Gustavsen, Trond S. (2008)

*Connections on modules over singularities of finite CM representation type*

*Journal of Pure and Applied Algebra*, *212(7)*, s. 1561- 1574. Doi: 10.1016/j.jpaa.2007.10.008

### Eriksen, Eivind (2008)

*Connections on Modules Over Quasi-Homogeneous Plane Curves*

*Communications in Algebra*, *36(8)*, s. 3032- 3041.

### Eriksen, Eivind (2008)

*An example of noncommutative deformations*

*Journal of Generalized Lie Theory and Applications*, *2(3)*, s. 52- 56.

### Eriksen, Eivind (2008)

*Computing noncommutative global deformations of D-modules*

Silvestrov, Sergei; Paal, Eugen, Abramov, Viktor, Stolin, Alexander, Eriksen, Eivind & Gustavsen, Trond S. (red.). Generalized Lie Theory in Mathematics, Physics and Beyond

### Eriksen, Eivind & Gustavsen, Trond S. (2008)

*Connections on modules over singularities of finite and tame CM representation type*

Silvestrov, Sergei; Paal, Eugen, Abramov, Viktor, Stolin, Alexander, Eriksen, Eivind & Gustavsen, Trond S. (red.). Generalized Lie Theory in Mathematics, Physics and Beyond

### Silvestrov, Sergei; Paal, Eugen, Abramov, Viktor, Stolin, Alexander, Eriksen, Eivind & Gustavsen, Trond S. (2008)

*Generalized Lie Theory in Mathematics, Physics and Beyond*

Springer.

### Eriksen, Eivind & Gustavsen, Trond Stølen (2007)

*Computing obstructions for existence of connections on modules*

*Journal of symbolic computation*, *42*, s. 313- 323.

### Eriksen, Eivind & Gustavsen, TS (2007)

*Computing obstructions for existence of connections on modules*

*Journal of symbolic computation*, *42* Doi: 10.1016/j.jsc.2006.10.001

### Sørhus, Vidar; Eriksen, Eivind, Grønningsæter, Nils, Halbwachs, Yvon, Hvidsten, Per Øyvind, Strøm, Kyrre, Westgaard, Geir & Røtnes, Jan Sigurd (2005)

*A new platform for laparoscopic training and education*

*Studies in Health Technology and Informatics*, *111*, s. 502- 507.

### Eriksen, Eivind (2017)

**Matematikk for økonomi og finans. Oppgaver og løsningsforslag.**

[Textbook]. Cappelen Damm Akademisk.

### Eriksen, Eivind (2016)

**Matematikk for økonomi og finans**

[Textbook]. Cappelen Damm Akademisk.

### Eriksen, Eivind & Fausk, Halvard (2014)

**Mattenøkkelen**

[Textbook]. Gyldendal Akademisk.

### Eriksen, Eivind (2013)

**Simple modules over matric algebras and their geometry**

[Academic lecture]. MODULI OPERADS DYNAMICS.

### Eriksen, Eivind (2013)

**Noncommutative deformations and geometry of simple modules**

[Academic lecture]. Algebra, Combinatorics, Dynamics and Applications.

### Eriksen, Eivind (2012)

**A-infinity algebras and noncommutative deformations**

[Academic lecture]. Conference AGMP-8 Brno'12.

### Eriksen, Eivind (2010)

**The Weyl algebra is coherent**

[Report]. Cornell University.

### Eriksen, Eivind (2009)

**The Generalized Burnside Theorem in noncommutative deformation theory**

[Academic lecture]. Algebra, Geometry, and Mathematical Physics, 5th Baltic-Nordic AGMP Workshop.

### Eriksen, Eivind & Gustavsen, Trond S. (2008)

**Lie-Rinehart cohomology and integrable connections on modules of rank one**

[Report]. Arxiv http://arxiv.org.

### Eriksen, Eivind & Gustavsen, Trond S. (2008)

**Equivariant Lie-Rinehart cohomology**

[Report]. Arxiv http://arxiv.org.

### Eriksen, Eivind (2008)

**Integrable connections on modules of rank one**

[Academic lecture]. Algebra, Geometry, and Mathematical Physics. 4th Baltic-Nordic Workshop: Tartu, 09-11 October, 2008.

### Eriksen, Eivind (2007)

**Kryptografi og elliptiske kurver**

[Academic lecture]. Principles of Computer Security.

### Eriksen, Eivind (2007)

**Examples in noncommutative deformation theory**

[Academic lecture]. Algebra, Geometry, and Mathematical Physics, Baltic-Nordic Workshop.

### Eriksen, Eivind & Gustavsen, Trond S. (2006)

**Computing obstructions for existence of connections on modules**

[Report]. ArXiv.

### Eriksen, Eivind (2006)

**Computing noncommutative global deformations of D-modules**

[Report]. ArXiv.

### Eriksen, Eivind & Gustavsen, Trond S. (2006)

**Connections on modules over singularities of finite CM representation type**

[Report]. ArXiv.

### Eriksen, Eivind (2006)

**Connections on modules over simple curve singularities**

[Report]. ArXiv.

### Eriksen, Eivind & Gustavsen, Trond S. (2006)

**Connections on modules over singularities of finite CM representation type**

[Academic lecture]. Algebra, Geometry and Mathematical Physics Baltic-Nordic Network Workshop.

### Eriksen, Eivind (2006)

**Noncommutative deformations of differential structures**

[Academic lecture]. Algebra-seminaret ved HiBu.

### Eriksen, Eivind (2006)

**Non-commutative deformations of differential structures**

[Academic lecture]. Algebra, Geometry and Mathematical Physics Baltic-Nordic Network Workshop.

### Eriksen, Eivind (2006)

**Konneksjoner på moduler over singulariteter**

[Academic lecture]. Algebra-seminaret.

### Eriksen, Eivind (2004)

**A_{\infty} algebras and A_{\infty} modules**

[Academic lecture]. utenTitteltekst.

### Eriksen, Eivind (2004)

**Noncommutative deformations of sheaves of modules**

[Academic lecture]. utenTitteltekst.

### Eriksen, Eivind (2004)

**Noncommutative deformations of sheaves of modules**

[Academic lecture]. utenTitteltekst.

### Eriksen, Eivind (2004)

**Iterated extensions in module categories**

[Report]. Cornell University.

### Eriksen, Eivind (2004)

**Noncommutative deformations of sheaves of modules**

[Report]. Institut Mittag-Leffler.

### Sørhus, Vidar; Eriksen, Eivind, Grønningsæter, Nils, Halbwachs, Yvon, Hvidsten, Per Øyvind, Kaasa, Johannes, Strøm, Kyrre, Westgaard, Geir & Røtnes, Jan Sigurd (2004)

**A comprehensive platform for laparoscopic education**

[Academic lecture]. SMIT Conference.

Year | Academic Department | Degree |
---|---|---|

2000 | University of Oslo | Ph.D Dr. Scient. |

1994 | University of Oslo | Master Cand. Scient. |

1992 | University of Oslo | Cand.Mag |

Year | Employer | Job Title |
---|---|---|

2010 - Present | BI Norwegian Business School | Associate Professor in Mathematics |

2005 - 2010 | Oslo University College | Associate Professor |

2004 - 2005 | Buskerud University College | Associate Professor |

2003 - 2004 | University of Oslo | NRC Postdoctoral Fellow |

2001 - 2003 | University of Warwick | Marie Curie Postdoctoral Fellow |

1995 - 2000 | University of Oslo | Research Fellow |