This volume collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including Algebraic Geometry, Mirror Symmetry, Symplectic Geometry, Discrete Geometry, and Algebraic Combinatorics, the common theme is the study of lattice polytopes. These facinating combinatorial objects are a cornerstone of toric geometry, and continue to find rich and unforeseen applications throughought mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Mageburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this volume. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics. weiterlesen