I used to be a post-doc in the Mathematics Division at the Science Institute at the University of Iceland. This page contains information about my research.

Papers and preprints

The pdf files do not exactly match the final published versions.

• (with A. Carbery) Colouring Multijoints. (arXiv:1403.6449) Discrete & Computational Geometry, Volume: 52 (2014) Issue: 4 Pages: 730-742 https://doi.org/10.1007/s00454-014-9611-8
• (with A. Carbery) The endpoint multilinear Kakeya theorem via the Borsuk–Ulam theorem. (arXiv:1205.6371) Journal of Functional Analysis, Volume: 264 (2013) Issue: 7 Pages: 1643-1663 https://doi.org/10.1016/j.jfa.2013.01.012
• Geometric Brascamp–Lieb Has the Optimal Best Constant. (pdf)  Journal of Geometric Analysis, Volume: 21 (2011) Issue: 4 Pages: 1036-1043 https://doi.org/10.1007/s12220-010-9177-5
• (with E.I. Ólafsdóttir) On the Uniqueness of the Solution to a Variational Problem in Image Processing. (pdf) Technical Report of the Science Institute of the University of Iceland, RH-09-2010, May 2010.
• Optimisers for the Brascamp–Lieb inequality. (pdf) Isr. J. Math. (2008) 168: 253. https://doi.org/10.1007/s11856-008-1067-1.
• On the Hessian of the Optimal Transport Potential. (pdf) Annali della Scuola Normale Superiore di Pisa – Classe di Scienze, Série 5: Volume 6 (2007) no. 3, p. 441-456. http://www.numdam.org/item?id=ASNSP_2007_5_6_3_441_0
• The Brascamp–Lieb polyhedron. (pdf) Canadian Journal of Mathematics, Volume: 62 (2010) Issue: 4 Pages: 870-888 https://doi.org/10.4153/CJM-2010-045-2
• A multilinear generalisation of the Hilbert transform and fractional integration. (pdf) Revista Matematica Iberoamericana, Volume: 28 (2012) Issue: 1 Pages: 25-55 https://doi.org/10.4171/RMI/665