Post-Lie algebras and isospectral flows
with K. Ebrahimi-Fard, I. Mencattini, H.Z. Munthe-Kaas Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 11, 093, 2015
arXiv version
On the Lie enveloping algebra of a post-Lie algebra
with K. Ebrahimi-Fard and H.Z. Munthe-Kaas, Journal of Lie Theory, Vol. 25, No. 4, 1139--1165, 2015
arXiv version
On algebraic structures of numerical integration on vector spaces and manifolds
with H.Z. Munthe-Kaas, IRMA Lectures in Mathematics and Theoretical Physics Vol. 21, 2015
arXiv version
Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras
with K. Ebrahimi-Fard and D. Manchon, International Journal of Algebra and Computation, Volume 24, Issue 5, 2014
arXiv version
On post-Lie algebras, Lie–Butcher series and moving frames
with H.Z. Munthe-Kaas, Foundations of Computational Mathematics, Volume 13, Issue 4, 2013
arXiv version
Backward error analysis and the substitution law for Lie group integrators
with H.Z. Munthe-Kaas, Foundations of Computational Mathematics, Volume 13, Issue 2, 2013
arXiv version
Algebraic structure of stochastic expansions and universally accurate simulation
with K. Ebrahimi-Fard, S.J.A. Malham, H.Z. Munthe-Kaas, A. Wiese, Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, Volume 468 (2144), 2012
arXiv version

Abstracts, preprints and in preparation

In prep: Brain segmentation using convolutional neural networks
with A. Lundervold
Python-based software for medical imaging and machine learning - an example from brain imaging in IBS
with K. Le Cornec, O. Verdier, V. Barra, and A. Lundervold, Abstract and poster at MedViz 2016
Title TBD. Keywords: Operator-valued probability, incidence Hopf algebras
with K. Ebrahimi-Fard
Noncommutative incidence Hopf algebras
with D. Manchon

Personal grants

ERCIM Alain Bensoussan Fellowship (Marie Curie fellowship), 2013
Abel Extraordinary Chair from the NILS Mobility Project, 2009
Abelstipend from the Norwegian Mathematical Society, 2005
Carl Johan Storetvedts legat (awarded to "hardworking and talented students at the University of Bergen"), 2004

Membership in scientific societies

Norwegian Mathematical Society, 2003–present
American Mathematical Society, 2004–present