# Runar Ile

Associate Professor - Department of Economics

### Area of Expertise

## Publications

Ile, Runar (2021)

### Deformation theory of Cohen-Macaulay approximation

Journal of Algebra, 568, s. 437- 466. Doi: 10.1016/j.jalgebra.2020.09.039

Gustavsen, Trond Stølen & Ile, Runar (2018)

### Deformations of rational surface singularities and reflexive modules with an application to flops

Advances in Mathematics, 340, s. 1108- 1140. Doi: 10.1016/j.aim.2018.10.023 - Full text in research archive

Ile, Runar (2014)

### Stably reflexive modules and a lemma of Knudsen

Journal of Algebra, 397, s. 141- 167. Doi: 10.1016/j.jalgebra.2013.08.024

Ile, Runar (2012)

### Cohen-Macaulay approximation in fibred categories

Journal of Algebra, 367, s. 142- 165. Doi: 10.1016/j.jalgebra.2012.06.006

Gustavsen, Trond Stølen & Ile, Runar (2011)

### The deformation relation on the set of Cohen-Macaulay modules on a quotient surface singularity

Banach Center Publications, 93, s. 41- 50. Doi: 10.4064/bc93-0-3

Ile, Runar (2004)

### Deformation theory of reflexive modules on rational surface singularities II

[Academic lecture]. utenTitteltekst.

Ile, Runar (2004)

### Nøkkellemma

[Academic lecture]. utenTitteltekst.

Ile, Runar (2004)

### Introduction to the Weil conjectures

[Academic lecture]. utenTitteltekst.

Ile, Runar (2004)

### Deforming syzygies of liftable modules and generalised Knörrer functors

[Report]. Dept. of Math.., University of Oslo.

Gustavsen, Trond Stølen & Ile, Runar (2004)

### The versal deformation space of a maximal Cohen-Macaulay module on a simple singularity

[Report]. Dept. of Math.., University of Oslo.

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

2001 | University of Oslo | Ph.D. |

1990 | University of Oslo | Candidatus scientiarum |

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

2017 - Present | BI Norwegian Business School, Department of Economics | Associate professor |

2017 - Present | University of Bergen, Department of Mathematics | Associate professor (adjunct position) |

2017 - Present | University of Oslo | External advisor to the bachelor program «Mathematics with informatics» at the Department of Mathematics |

2005 - 2016 | University of Bergen, Department of Mathematics | Associate professor |

2011 - 2012 | KTH Royal Institute of Technology, Department of Mathematics | Visiting Associate professor (with support from the Kurt and Alice Wallenberg foundation) |

1999 - 2005 | University College of Hedmark | Associate professor |

2003 - 2004 | University of Oslo | Guest researcher under the SUPREMA program |

2002 - 2003 | Norwegian University of Science and Technology, Department of Mathematical Sciences | Associate professor |