In mirror symmetry, we aim to find a relation between two types of geometry: symplectic and algebraic. Here, for any symplectic space, we want to find a so-called mirror algebraic space so that various data of the original space are encoded in much more computable algebraic data. There are two longstanding questions: (1) what data should be related and (2) given a symplectic space, how do we construct the mirror? For the latter question, there's various constructions in the mathematical literature established in the past few decades that yield answers with varying evidence, but which one gives you the correct mirror? I answer this question in some sense for a slew of examples. It turns out that my answer relates somehow to the way I experience aspects of my queerness, so throughout the talk, I will integrate aspects of my experience and identities.

Bio: Tyler Kelly (they/he) is an assistant professor and UKRI Future Leaders Fellow at the University of Birmingham. Before, Tyler obtained their Ph.D. at the University of Pennsylvania in 2014 and then held an NSF Postdoc at Cambridge. Tyler's research is in algebraic geometry and mirror symmetry, studying the mirror symmetry of Landau-Ginzburg models. They also are active in the LGBTQ+ STEM community, as a member of both the LGBTQ STEM Project's Steering Committee and the London Mathematical Society's Women and Diversity in Mathematics Committee.