#### Selected publications

– Burgos Gil JI, Moriwaki A, Philippon P & **Sombra M** 2016, ‘Arithmetic positivity on toric varieties’, *Journal of Algebraic Geometry*, vol. 25, pp. 201-272

– Burgos Gil JI, Philippon P & **Sombra M** 2016, ‘Height of varieties over finitely generated fields’, *Kyoto Journal of Mathematics*, vol. 56, pp. 13-32

– Basu S & **Sombra M** 2016, ‘Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions’, *Discrete & Computational Geometry*, vol. 55, pp 158-184.

#### Selected research activities

**Invited talks (selected)**

– Mini-course at the CIMPA-ICTP research school on toric methods in geometry, arithmetic and dynamics at U. Católica de Chile, Santiago de Chile, 11 – 22 January

– Meeting on Okounkov bodies at Télécom Paris, 16 – 18 March

– Conference on geometric and combinatorial methods in number theory at Iasi, Romania, 27 June – 1 July

– Conference on Arakelov geometry at U. Regensburg, Germany, 5 – 9 September

– Colloquium of the Department of Mathematics of the U. La Plata, Argentina, 15 December

**Organization**

– CIMPA-ICTP research school on toric methods in geometry, arithmetics and dynamics at U. Católica de Chile, Santiago de Chile, 11 – 22 January

– IMUB Colloquium

– Algebra and Geometry Meeting, UB, 30 November – 2 December

**Outreach activity**

– “El que diuen els nombres”. Talk for high-school students from three schools at El Prat de Llobregat, on aspects of applied probability and the nature of the work of a researcher in Mathematics

**Supervision of PhD thesis**

– Marta Narváez-Clauss, “Quantitative equidistribution of Galois orbits of points of small height on the algebraic torus”, UB, 21 June (joint with C. D’Andrea)