This grant will support the participation of early-career US-based researchers at the research program "Modern Perspectives in Representation Theory," which is a six-week program May 5-June 13, 2025 based at the Sydney Mathematical Research Institute (SMRI). The program is focused on several overlapping aspects of interest in representation theory: combinatorial, number-theoretic, and new developments using machine learning. The program will bring together experts in these subjects, visiting Sydney in overlapping intervals of one to three weeks, with the aim of bringing together and encouraging new collaborations amongst a diverse international cohort of mathematicians working in different aspects of representation theory. Two workshops will be held during the six-week program. Senior scientists in residence will explore relations between the aforementioned aspects of representation theory through their expertise in the following topics: combinatorics of Coxeter groups, total positivity, and emerging geometric methods on the representation theory of p-adic groups. In more detail: (1) Combinatorics of Coxeter groups is one of the central interfaces between Lie theory and combinatorics. Of particular interest is the recent suggestion that techniques in machine learning and artificial intelligence can be applied to problems in Coxeter combinatorics. (2) Current interest in total positivity comes from multiple directions--the recent resolution of conjectures on the topology