Volumetric Discrete Geometry

Károly Bezdek is a Professor and Director - Centre for Computational & Discrete Geometry, Pure Mathematics at University of Calgary. He received his Ph.D. in mathematics at the ELTE University of Budapest. He holds a first-tier Canada chair, which is the highest level of research funding awarded by the government of Canada. Zsolt Lángi is an associate professor at Budapest University of Technology, and a senior research fellow at the Morphodynamics Research Group of the Hungarian Academy of Sciences. He received his Ph.D. in mathematics at the ELTE University of Budapest, and also at the University of Calgary. He is particularly interested in geometric extremum problems, and equilibrium points of convex bodies.

• I Selected TopicsVolumetric Properties of (m, d)-scribed PolytopesVolume of the Convex Hull of a Pair of Convex BodiesThe Kneser-Poulsen conjecture revisitedVolumetric Bounds for Contact NumbersMore on Volumetric Properties of Separable PackingsII Selected ProofsProofs on Volume Inequalities for Convex PolytopesProofs on the Volume of the Convex Hull of a Pair of Convex BodiesProofs on the Kneser-Poulsen conjectureProofs on Volumetric Bounds for Contact NumbersMore Proofs on Volumetric Properties of Separable PackingsOpen Problems: An Overview