title: Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: This paper is part of a series that lays the groundwork for a structure and classification theory of second-order superintegrable systems, both classical and quantum, in real or complex conformally flat spaces. Here we consider classical superintegrable systems with nondegenerate potentials in three dimensions. We show that there exists a standard structure for such systems, based on the algebra of 3×3 symmetric matrices, and that the quadratic algebra always closes at order 6. We show that the spaces of truly second-, third-, fourth-, and sixth-order constants of the motion are of dimension 6, 4, 21, and 56, respectively, and we construct explicit bases for the fourth- and sixth order constants in terms of products of the second order constants.

text: Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory This paper is part of a series that lays the groundwork for a structure and classification theory of second-order superintegrable systems, both classical and quantum, in real or complex conformally flat spaces. Here we consider classical superintegrable systems with nondegenerate potentials in three dimensions. We show that there exists a standard structure for such systems, based on the algebra of 3×3 symmetric matrices, and that the quadratic algebra always closes at order 6. We show that the spaces of truly second-, third-, fourth-, and sixth-order constants of the motion are of dimension 6, 4, 21, and 56, respectively, and we construct explicit bases for the fourth- and sixth order constants in terms of products of the second order constants.

year: 2005-10

title: Lived experiences of childfree lesbians in the United Kingdom: A qualitative exploration

authors: Clarke, Victoria

subjects: Social Sciences

abstract: Evidence suggests that most lesbians remain childless, but little is known about the childfree lesbian experience. The current study qualitatively explores the experiences of five childfree lesbians. The results show that even for a group for which childlessness is arguably still presumed, it remains socially difficult to articulate a desire to remain childfree. The women presented their childfreedom as both essential and politically and biographically motivated. Being lesbian and childfree was framed as different from being heterosexual and childfree—discourses and practices of “families of choice” and “co-independence” in intimate partnerships provided a way of “doing” family outside of dominant, heteronormative expectations. Concurrently, the greater visibility of lesbian parenting had resulted in the unwelcome imposition of heteronormative expectations. The results raise questions about the normalizing effects of the legal recognition of same-sex marriage and queer parenthood on the lives of lesbian women, and other queers, who choose to remain childfree.

text: Lived experiences of childfree lesbians in the United Kingdom: A qualitative exploration Evidence suggests that most lesbians remain childless, but little is known about the childfree lesbian experience. The current study qualitatively explores the experiences of five childfree lesbians. The results show that even for a group for which childlessness is arguably still presumed, it remains socially difficult to articulate a desire to remain childfree. The women presented their childfreedom as both essential and politically and biographically motivated. Being lesbian and childfree was framed as different from being heterosexual and childfree—discourses and practices of “families of choice” and “co-independence” in intimate partnerships provided a way of “doing” family outside of dominant, heteronormative expectations. Concurrently, the greater visibility of lesbian parenting had resulted in the unwelcome imposition of heteronormative expectations. The results raise questions about the normalizing effects of the legal recognition of same-sex marriage and queer parenthood on the lives of lesbian women, and other queers, who choose to remain childfree.

year: 2018

title: Editorial for “Unmasking Racism and Oppression in Psychology” – Part II

authors: Tan, Kyle K. H.

abstract: Since publishing the first part of the “Unmasking Racism and Oppression in Psychology” special issue in March 2025, we have received immense aroha and gratitude from colleagues and students eager to learn about the perspectives of Indigenous and minoritised groups in psychology and how they can support the development of an anti-racist discipline. Rather than seeking to prove the existence of racism in the field (Crossing et al., 2024), this issue centres on validating our authors’ experiences of navigating oppression, challenging Eurocentric psychology, resisting assimilation, and remaining grounded in Indigenous ontologies and epistemologies while staying accountable to their communities. Racism in psychology has been called out by many colleagues in Aotearoa (to name a few; Levy & Waitoki, 2016; Love, 2008; Pomare et al., 2021), and this issue responds to their concerns by amplifying solutions for change in the teaching, practice, and research of psychology.

text: Editorial for “Unmasking Racism and Oppression in Psychology” – Part II Since publishing the first part of the “Unmasking Racism and Oppression in Psychology” special issue in March 2025, we have received immense aroha and gratitude from colleagues and students eager to learn about the perspectives of Indigenous and minoritised groups in psychology and how they can support the development of an anti-racist discipline. Rather than seeking to prove the existence of racism in the field (Crossing et al., 2024), this issue centres on validating our authors’ experiences of navigating oppression, challenging Eurocentric psychology, resisting assimilation, and remaining grounded in Indigenous ontologies and epistemologies while staying accountable to their communities. Racism in psychology has been called out by many colleagues in Aotearoa (to name a few; Levy & Waitoki, 2016; Love, 2008; Pomare et al., 2021), and this issue responds to their concerns by amplifying solutions for change in the teaching, practice, and research of psychology.

year: 2025