This edited volume features a curated selection of research in algebraic combinatorics that
explores the boundaries of current knowledge in the field. Focusing on topics experiencing
broad interest and rapid growth invited contributors offer survey articles on representation
theory symmetric functions invariant theory and the combinatorics of Young tableaux. The
volume also addresses subjects at the intersection of algebra combinatorics and geometry
including the study of polytopes lattice points hyperplane arrangements crystal graphs and
Grassmannians. All surveys are written at an introductory level that emphasizes recent
developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the
geometric and topological aspects of the topic and is suitable for combinatorialists as well as
geometrically minded researchers seeking to gain familiarity with relevant combinatorial
tools.Featured authors include prominent women in the field known for their exceptional writing
of deep mathematics in an accessible manner. Each article in this volume was reviewed
independently by two referees. The volume is suitable for graduate students and researchers
interested in algebraic combinatorics.
