On the area discrepancy of triangulations of squares and trapezoids.
On the area sum of a convex polygon and its polar reciprocal.
On the area sum of a convex set and its polar reciprocal.
On the boundary of an extremal body.
On the Busemann area in Minkowski spaces.
On the Busemann-Petty Problem for Perturbations of the Ball.
On the centre of gravity and width of lattice-constrained convex sets in the plane.
On the characterization of some families of closed convex sets.
On the chiral Archimedean solids.
On the Classification of Toric Fano Varieties.
On the combinatorial structure of arrangements of oriented pseudocircles.
On the Complexity of a Single Cell in Certain Arrangements of Surfaces Related to Motion Planning.
On the Complexity of Polyhedral Separability.
On the computation of Clebsch-Gordan coefficients and the dilation effect.
On the Connected Components of the Space of Line Transversals to a Family of Convex Sets.
On the construction of dense lattices with a given automorphisms group
We consider the problem of constructing dense lattices in with a given non trivial automorphisms group. We exhibit a family of such lattices of density at least , which matches, up to a multiplicative constant, the best known density of a lattice packing. For an infinite sequence of dimensions , we exhibit a finite set of lattices that come with an automorphisms group of size , and a constant proportion of which achieves the aforementioned lower bound on the largest packing density. The algorithmic...
On the continuity of functions.
On the convex hull of projective planes
We study the finite projective planes with linear programming models. We give a complete description of the convex hull of the finite projective planes of order 2. We give some integer linear programming models whose solution are, either a finite projective (or affine) plane of order n, or a (n+2)-arc.
On the Convex Hull of Uniform Random Points in a Simple d-Polytope.
On the counting of fully packed loop configurations: some new conjectures.