The best constants for a double inequality in a triangle.
The bottleneck conjecture.
The calculus of operator functions and operator convexity [Book]
The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
In 1994, Sturmfels gave a polyhedral version of the Cayley Trick of elimination theory: he established an order-preserving bijection between the posets of coherent mixed subdivisions of a Minkowski sum of point configurations and of coherent polyhedral subdivisions of the associated Cayley embedding . In this paper we extend this correspondence in a natural way to cover also non-coherent subdivisions. As an application, we show that the Cayley Trick combined with results of Santos on subdivisions...
The Cayley–Menger determinant is irreducible for .
The cd-index of Bruhat intervals.
The centers of gravity of the associahedron and of the permutahedron are the same.
The Classification of Quasi-Regular Polyhedra of Genus 2.
The classification of tiling space flows.
The combinatorially regular polyhedra of index 2.
The Complexity of Cutting Complexes.
The concept of cutting vectors for vector systems in the Euclidean plane.
The Construction of Self-similar Tilings.
The convex floating body.
The Convex Hull of a Typical Compact Set.
The convexity of the subset space of a metric space
The Countability of a Tiling Family and the Periodicity of a Tiling.
The critical determinant of the double paraboloid and Diophantine approximation in and .
The Cubical d-Polytopes with Fewer than 2d+1 Vertices.
The cyclic sieving phenomenon for faces of cyclic polytopes.