I am interested in algebraic geometry and in representation theory, especially in their combinatorial aspects. A typical situation I am interested in is when some good action of an algebraic group allows to encode the geometry of an algebraic variety in combinatorial objects such as convex cones, semigroups and convex polytopes. Main examples of this situation include homogeneous spaces and their equivariant embeddings, and more specifically flag varieties, toric varieties, symmetric varieties, spherical varieties and wonderful varieties.
B-orbits on spherical homogeneous spaces, Oberwolfach Report 24/2013, 1481-1483.
Report of a talk held during the miniworkshop "Spherical varieties and automorphic representations", Oberwolfach, 2013.
Projective normality of model wonderful varieties, Oberwolfach Report 9/2012, 781-784.
Report of a talk held during the workshop "Enveloping algebras and geometric representation theory", Oberwolfach, 2012.
Here is a beamer presentation.