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