After the success and impact of Spec$(\overline{Q})$, held at the Fields Institute in 2022, and the second in the series in 2024, Spec$(\bar{Q}(2\pi i))$, we again aim to celebrate and promote research advances of 2SLGBTQI (2-spirited, Lesbian, Gay, Bisexual, Transgender, Queer, Intersex) mathematicians specialising in algebraic geometry, arithmetic geometry, commutative algebra, and number theory. The first two conferences proved to be extremely important to lay the foundations for a fertile, supportive and stimulating scientific queer community in the areas of algebraic geometry, commutative algebra and number theory. Building on the strengths of these earlier iterations, Spec$(\bar{Q}(\zeta(3)))$ will create an empowering and engaging environment which provides 2SLGBTQI visibility in algebraic geometry, will support junior 2SLGBTQI academics, and will crystallise new collaborative networks for participants.