Employee Profile

Jon Eivind Vatne

Associate Professor - Campus Bergen

Department of Economics

Publications

Korotov, Sergey & Vatne, Jon Eivind (2020)

On regularity of tetrahedral meshes produced by some red-type refinements.

Pinelas, Sandra; Graef, John R, Hilger, Stefan, Kloeden, Peter & Schinas, Christos (red.). Differential and difference equations with applications: ICDDEA 2019, Lisbon, Portugal, July 1–5

Boon, Wietse; Nordbotten, Jan Martin & Vatne, Jon Eivind (2020)

Functional analysis and exterior calculus on mixed-dimensional geometries

Annali di Matematica Pura ed Applicata, s. 1- 33. Doi: 10.1007/s10231-020-01013-1 - Full text in research archive

Khademi, Ali & Vatne, Jon Eivind (2020)

Estimation of the interpolation error for semiregular prismatic elements

Applied Numerical Mathematics, 156, s. 174- 191. Doi: 10.1016/j.apnum.2020.04.018 - Full text in research archive

Korotov, Sergey & Vatne, Jon Eivind (2020)

The minimum angle condition for d-simplices

Computers and Mathematics with Applications, 80, s. 367- 370. Doi: 10.1016/j.camwa.2019.05.020

Khademi, Ali; Korotov, Sergey & Vatne, Jon Eivind (2019)

On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes

Garanzha, Vladimir (red.). Numerical Geometry, Grid Generation and Scientific Computing Proceedings of the 9th International Conference, NUMGRID 2018 / Voronoi 150, Celebrating the 150th Anniversary of G.F. Voronoi, Moscow, Russia, December 2018

Khademi, Ali; Korotov, Sergey & Vatne, Jon Eivind (2019)

On the generalization of the Synge-Křížek maximum angle condition for d-simplices

Journal of Computational and Applied Mathematics, 358, s. 29- 33. Doi: 10.1016/j.cam.2019.03.003

Vatne, Jon Eivind (2019)

Spaces of simplicial shapes

Lecture Notes in Computational Science and Engineering, 126, s. 753- 760. Doi: 10.1007/978-3-319-96415-7_70

Khademi, Ali; Korotov, Sergey & Vatne, Jon Eivind (2018)

On Interpolation Error on Degenerating Prismatic Elements

Applications of Mathematics, 63(3), s. 237- 257. Doi: 10.21136/AM.2018.0357-17

Vatne, Jon Eivind (2017)

Simplices rarely contain their circumcenter in high dimensions

Applications of Mathematics, 62(3), s. 213- 223. Doi: 10.21136/AM.2017.0187-16

Vatne, Jon Eivind (2017)

The sequence of middle divisors is unbounded

Journal of Number Theory, 172, s. 413- 415. Doi: 10.1016/j.jnt.2016.08.015

Vatne, Jon Eivind (2012)

Monomial multiple structures

Annali dell’Università di Ferrara Doi: 10.1007/s11565-011-0139-z

Fløystad, Gunnar & Vatne, Jon Eivind (2011)

Artin-Schelter regular algebras of dimension five

Banach Center Publications, 93, s. 19- 39. Doi: 10.4064/bc93-0-2

Vatne, Jon Eivind (2009)

Multiple Structures and Hartshorne's Conjecture

Communications in Algebra, 37(11), s. 3861- 3873. Doi: 10.1080/00927870802555900

The purpose of this article is to develop tools for producing multiple structures on smooth varieties, based on the theory for curves by Banica and Forster [1, 2]. By recursively extending schemes, we show how all Cohen-Macaulay scheme structures of this kind can be found. Similar results have been obtained by Manolache [12, 15-17], using a different recursive construction. The construction in this article complements Manolache's methods, and for some of the applications we have in mind, our construction gives more flexibility [18, 19]. As an application of the theory, we reformulate Hartshorne's Conjecture on complete intersections in codimension two in terms of multiple schemes of degrees two and three.

Vatne, Jon Eivind (2008)

Double structures on rational space curves

Mathematische Nachrichten, 281(3), s. 434- 441.

There are very many non-reduced schemes. In this paper, we consider two examples to back this statement: we give lists of double scheme structures on a twisted cubic, and we construct rank two bundles on projective 3-space with prescribed Chern classes, from double structures on smooth rational curves. (C) 2008 WILEY-VCH Verlag GmbH & Co. KG A, Weinheim.

Fløystad, Gunnar & Vatne, Jon Eivind (2006)

PBW-deformations of N-Koszul algebras

Journal of Algebra, 302(1), s. 116- 155.

Vatne, Jon Eivind (2005)

(Bi)-Cohen-Macaulay Simplicial Complexes and Their Associated Coherent Sheaves

Communications in Algebra, 33(9), s. 3121- 3.

Fløystad, Gunnar & Vatne, Jon Eivind (2005)

(Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves

Communications in Algebra, 33(9), s. 3121- 3136.

Vatne, Jon Eivind & Fløystad, Gunnar (2002)

(Bi-) Cohen-Macaulay simplicial complexes and their associated coherent sheaves

http://xxx.lanl.gov/abs/math.AG/0209061

Gulbrandsen, Martin G; Kleppe, Johannes, Kro, Tore August & Vatne, Jon Eivind (2015)

Matematikk for ingeniørfag - oppgaver og fasit

[Textbook]. Gyldendal Norsk Forlag A/S.

Gulbrandsen, Martin G; Kleppe, Johannes, Kro, Tore August & Vatne, Jon Eivind (2013)

Matematikk for ingeniørfag

[Textbook]. Gyldendal Akademisk.

Mørken, Knut Martin; Malthe-Sørensen, Anders, Simonsen, Ingve, Hammer, Hugo Lewi, Vatne, Jon Eivind, Nøst, Elisabeth, Løyning, Terje Brinck, Dahl, Lars Oswald & Sasaki, Nina (2011)

Computing in Science Education. A guide for universities and colleges in Norway

[Report]. Det matematisk-naturvitenskaplige fakultet, Universitetet i Oslo.

Mørken, Knut Martin; Simonsen, Ingve, Malthe-Sørensen, Anders, Hammer, Hugo Lewi, Løyning, Terje Brinck, Vatne, Jon Eivind, Nøst, Elisabeth, Dahl, Lars Oswald & Sasaki, nina (2011)

Beregninsorientert utdanning: En veileder for universiteter og høgskoler i Norge

[Report]. Universitetet i Oslo, Det matematisk naturvitenskaplige fakultet.

Vatne, Jon Eivind (2005)

PBW-deformations of N-Koszul algebras and Their A_\infty Ext Algebras

[Academic lecture]. Workshop in noncommutative geometry.

Fløystad, Gunnar & Vatne, Jon Eivind (2004)

PBW-deformations of N-Koszul algebras

[Report]. Institutt Mittag-Leffler, Report No. 32..

Fløystad, Gunnar & Vatne, Jon Eivind (2003)

(Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves

[Academic lecture]. Formal Power Series and Algebraic Combinatorics.

Vatne, Jon Eivind & Fløystad, Gunnar (2002)

(Bi-) Cohen-Macaulay complexes and their associated coherent sheaves

[Academic lecture]. Internatiional conefernce on Algebraic Geometry, Commutative Algebra and Topology.

Academic Degrees
Year Academic Department Degree
2002 University of Oslo Dr. Scient.
Work Experience
Year Employer Job Title
2021 - Present BI Norwegian Business School Associate professor