By Kimberly P. Hadaway, Pamela E. Harris, Kimberly J. Harry, Lucy Martinez, Miriam G. Norris, and Rebecca Patrias Figure 1. Left-to-Right: Kimberly J. Harry, Becky Patrias, Pamela E. Harris, Kimberly P. Hadaway, Lucy Martinez and Miriam Norris Research collaborations in mathematics can create beautiful spaces where informal mentoring and professional guidance naturally emerge. Our group – spanning graduate students to tenured faculty – formed at a research workshop [1] to develop a unifying juggling framework for understanding Kostant’s partition function in the context of simple exceptional Lie algebras. After the workshop, we continued our collaboration through virtual meetings and a later in-person visit [2]. Over a delicious Peruvian dinner of ceviche, chaufa, and lomo saltado, our conversation turned toward preparing a team member for an upcoming academic job interview.…