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We present a duoethnography via dialogic narratives to document our experiences, as a professor and doctoral student, in an independent study course . We highlight our understandings, tensions, and transformations as we explored access to advanced mathematics and the relatedness of equity research. Our findings suggest that while our lived experiences are quite different, we reached convergence on the role of equity research through open and challenging conversations. We suggest implications for mathematics educators as they respond to the growing interest in equity research and engage with doctoral students about this line of research. Duoethnography holds promise for stakeholders in mathematics education to explore their conceptions and the tensions between equity research and mathematics content to find productive synergy.