  Topological photonics seeks to control the behaviour of the light through the
design of protected topological modes in photonic structures. While this
approach originated from studying the behaviour of electrons in solid-state
materials, it has since blossomed into a field that is at the very forefront of
the search for new topological types of matter. This can have real implications
for future technologies by harnessing the robustness of topological photonics
for applications in photonics devices. This Roadmap surveys some of the main
emerging areas of research within topological photonics, with a special
attention to questions in fundamental science, which photonics is in an ideal
position to address. Each section provides an overview of the current and
future challenges within a part of the field, highlighting the most exciting
opportunities for future research and developments.
