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Traditionally, engineering culture has limited rather than fostered diversity in engineering. To address this persistent issue, we examine how diverse students identify with engineering and navigate the culture of engineering. We define diversity not by making a priori categorizations according to traditional demographic information (e.g., race, gender, sexual orientation, etc.), but instead by investigating the variation in students’ attitudinal profiles on a host of affective measures. Using these measures, we develop an identification of large, “normative” groups of engineers as well as “non-normative” students who emerge as having distinct attitudinal profiles. This mixed methods study investigates the intersectionality of engineering students' personal identities to understand: How do non-normative groups in engineering form an engineering identity and navigate a culture dominated by limited diversity? The focus of this paper is on the first phase this project, in which students' identities, motivation, psychological traits, perceived supports and barriers to engineering, and other background information is being quantitatively assessed. Pilot survey data were collected from participants enrolled in second semester first-year engineering programs across three institutions (n=374). We used topological data analysis (TDA) to create normative and non-normative attitudinal profiles of respondents. As a relatively new and powerful set of analytic methods, TDA clusters variegated data to understand an underlying structure, or topology, which emerges from the data. Our preliminary results show definite patterns which we then break down according to students' self-identified demographics. Additionally, a subset of participants who completed our quantitative instrument were interviewed about their experiences in and identification with engineering (n=7). Initial qualitative data analysis indicate that students who reside at intersectional boundaries of diversity have difficulty finding similar role models in engineering and often find themselves expending additional effort when compared to their peers to establish themselves in both engineering and non-engineering communities. Results of this quantitative and qualitative work were used to further refine the quantitative instrument that is to be used in subsequent phases of the project.