Abstract: Mechanical systems that produce non-reciprocal wave phenomena are of significant interest from both fundamental and practical perspectives. Recently, concepts from topology in 2D materials such Mechanical systems that produce non-reciprocal wave phenomena are of significant interest from both fundamental and practical perspectives. Recently, concepts from topology in 2D materials such as graphene have been used to design topological insulators and solid structures that admit modes with uni-directional propagation constants. Whatever the mechanism, non-reciprocity will enable exciting new capabilities such as one-way wave devices, improved vibration isolation systems, and improved imaging techniques. Because of these significant potential applications, non-reciprocal waves propagation has been identified by the NSF EFRI program as a national priority for research in mechanics, funding researchers at 17 institutions to pursue transformative research in the area of non-reciprocal wave propagation over the next three years. This symposium will gather together the leading figures in the field, with emphasis given to early career researchers and graduate student participation, towards the objective of promoting interactions and identifying critical issues. The Symposium will conclude with discussion of important questions, such as what are the practical implications and uses of these phenomena for existing technology or future acoustical or mechanical devices? The organizers are active in the Symposium topic, with direct connections to many of the main players in the US and abroad. Three members of the organizing committee are editors of a forthcoming special issue of the Journal of the Acoustical Society of America on non-reciprocity and topological phenomena in acoustics and elasticity. The Symposium venue will be the University of Missouri in Columbia, Missouri, the first public university west of the Mississippi River. The Mizzou campus is located close to a regional airport, or can be reached by a short drive from St. Louis International Airport. The campus is particularly attractive at the end of May. Local accommodations are plentiful and relatively inexpensive, ensuring minimal cost for participants. In addition, we expect to secure matching funds from the University which will help minimize the registration fee. The proposed dates place the symposium between the Acoustical Society of America meeting May 13-17 (Louisville, KY) and the Phononics International Conference June 3-7 (Tucson, AZ). These meetings are expected to draw international researchers in acoustic metamaterials and topological phononics. Our proposed AmeriMech Symposium schedule should therefore attract many of these leading figures. Participants will arrive on Tuesday the 28th; with the main sessions from Wednesday morning to early Friday afternoon. Morning and afternoon sessions will kick off with introductory or review lectures. Poster sessions will be interspersed. The schedule will emphasize informal discussion and interaction, while providing opportunities for students to dialog with their peers and with leaders in the field.