# Bernt Ivar Utstøl Nødland

I am a PhD student studying algebraic geometry at the University of Oslo. My advisors are Ragni Piene and John Christian Ottem.

Office: Niels Henrik Abels hus, room 1037

Email: berntin at math.uio.no

I am part of the algebraic geometry student seminar at the University of Oslo.

## Research

Publications:
Local Euler obstructions of toric varieties *Journal of Pure and Applied Algebra *
Volume 222, Issue 3, March 2018, Pages 508-533

Secants, bitangents, and their congruences
with Kathlen Kohn and Paolo Tripoli. In *Combinatorial Algebraic Geometry, Selected Papers From the 2016 Apprenticeship Program* Springer 2017.

The Hilbert scheme of 11 points in A^3 is irreducible
with Theodosios Douvropoulos, Joachim Jelisiejew and Zach Teitler. In *Combinatorial Algebraic Geometry, Selected Papers From the 2016 Apprenticeship Program* Springer 2017.

Polar degrees and closest points in codimension two
with Martin Helmer. *Journal of Algebra and Its Applications *

ArXiv preprints:
A toric proof of Bezout's theorem for weighted projective spaces
From my master's thesis.

## Macaulay2 code

### Toric Vector Bundles

Macaulay2 code I wrote for computing parliaments of polytopes of toric vector bundles:

A package Parliament.m2:
Parliament.m2

Examples from Di Rocco-Jabbusch-Smith's article illustrating its use:
examplesParliament.m2

### Local Euler obstructions of WPS

Macaulay2 code I wrote for computing local Euler obstructions and degrees of dual varieties for weighted projective surfaces and threefolds.

A package EulerObstructionWPS.m2:
EulerObstructionWPS.m2

The examples appearing in my article "Local Euler obstructions of toric varieties":
examplesEulerObWPS.m2