Topological genealogy and rhythmanalysis in Mary Winston Newson’s automathography

Key findings from this study

• The study found that Göttingen's regulatory framework admitted women mathematicians only as designated exceptions, yet their presence became materially inscribed through letters, friendships, and spatial practices.
• The authors report that Newson's automathography demonstrates intellectual subjectivity structured by oscillating rhythms of anticipation, delay, joy, and precarity rather than linear progression.
• The researchers demonstrate that topological genealogy enables mapping of discontinuous and folded trajectories through which women entered mathematical intellectual history.

Overview

This paper examines the automathography of Mary Frances Winston Newson, the first American woman to earn a Ph.D. in mathematics from a European institution, through a novel analytical framework termed topological genealogy. The study analyzes Newson's letters and autobiographical writings from her time at Göttingen (1893–1896) to trace how women mathematicians negotiated intellectual subjectivity within institutional spaces that formally excluded them. Rather than constructing linear progress narratives, the analysis maps discontinuous and folded trajectories shaped by affective oscillations between anticipation and precarity.

Methods and approach

The study integrates three theoretical approaches to analyze Newson's texts as historical documents. Foucault's genealogical method provides the framework for tracing non-linear intellectual genealogies. Lefebvre's rhythmanalysis identifies recurring temporal patterns within the autobiographical writings. Bachelard's topoanalysis examines how specific spaces—particularly Göttingen—inscribe themselves within intellectual subjectivity. This combined approach treats Newson's letters and autobiographical note as material inscriptions of lived experience rather than transparent biographical records.

Results

Göttingen functioned as a nodal site where institutional regulations admitted women only ausnahmsweise, designating them as exceptions rather than normative participants. Despite formal exclusion, women's presence became legible through epistolary exchanges, sustained friendships, and inhabitation of everyday spaces. Newson's writings reveal temporalities structured by alternating rhythms of anticipation, delay, joy, and solitude. These oscillations resist characterization as either progressive advancement or simple marginalization, instead mapping contingent and fragmented terrains of intellectual formation.

Implications

The concept of topological genealogy offers a methodological intervention into how intellectual history incorporates women mathematicians. By refusing linear narratives of progress or victimization, this approach acknowledges how institutional constraints and affective experiences simultaneously shaped women's mathematical subjectivity. The framework enables analysis of historical documents as spatial and temporal inscriptions rather than transparent records of individual achievement or institutional exclusion. This methodology proves applicable beyond mathematics to other disciplines where women's presence remained formally exceptional yet substantively consequential.

Scope and limitations

This summary is based on the study abstract and available metadata. It does not include a full analysis of the complete paper, supplementary materials, or underlying datasets unless explicitly stated. Findings should be interpreted in the context of the original publication.