On the difference between real and complex arrangements.
Homotopy types of subspace arrangements via diagrams of spaces.
Optimal bounds for the colored Tverberg problem
We prove a “Tverberg type” multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of Bárány et al. (1980), by adding color constraints. It also provides an improved bound for the (topological) colored Tverberg problem of Bárány & Larman (1992) that is tight in the prime case and asymptotically optimal in the general case. The proof is based on relative equivariant obstruction theory.
Projected products of polygons.
Oriented matroids today.
On the monotone upper bound problem.
The integral cohomology algebras of ordered configuration spaces of spheres.
Tetrahedra on deformed spheres and integral group cohomology.
Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds.
Vertex-facet incidences of unbounded polyhedra.
Gröbner bases of lattices, corner polyhedra, and integer programming.
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