I am an artist, curator and PhD student living and working in Brighton, the UK.
I am working towards a PhD, funded by the TECHNE AHRC consortium, which uses a synthesis of concepts from art, mathematics and linguistic pragmatics to explore the part played by physicality in the communication of mathematics. The aim is to observe, as an outsider, how one mathematician explains their work to another, and so to present insights that can open up exchange across the borders of the discipline.
This research expands upon the framework used in my MRes research (which focused closely on knot theory diagramming) and uses a synthesis of concepts from art, mathematics and linguistic pragmatics in an ethnographic study of mathematics communication. Practitioners and laypersons alike tend to draw a divide between ‘mathematics’ as an ideal, and the everyday practices and processes that characterise its place in human lives. Very little observation has been carried out that moves past the developmental/educational stage to examine the cutting edge of mathematics. My intention for this research is to build up an ethnography of communication in mathematical research that not only considers and takes seriously these underdiscussed situated and material aspects but also itself operates across different modes, in recording, analysis and presentation. A question at the heart of this research is to what extent knowledge can be divorced from its settings and the persons involved in its production; this is a question very appropriate to ask of mathematical knowledge, as a very large and long-developed field of studies that is very often perceived as acultural.
Following the ideas of Grice, and work that has developed upon them, it would seem that perceived intentions are central to the understanding of deliberate communication; bringing such considerations into an analysis of communication in such a depersonalised field is a move likely to have exciting consequences (as evidenced by my previous MRes work). I will augment a pragmatic, cognitivist approach to analysing communicative strategies from real-world observations with the attention to material settings, collaborative cognition, and multimodality found in situated cognition ethnographies such as that presented by Edwin Hutchins (2010). I will observe communicative events surrounding developing mathematical work as it progresses, drawing upon the field of linguistic pragmatics to produce a written analysis of notes, diagrams, gesture and literal and non-literal speech. I will use an art practice approach to record and explore data in a way that foregrounds materials and situations, photographing workplaces and experimenting with the materials and configurations that I observe through my sculptural practice.
 In my MRes thesis I presented a set of observations of knot theory diagramming practices showing how essential performance and gloss are to creating mutuality of understanding in diagram interpretation. The role of perceived intentions was particularly salient, showing that interpersonal understandings are important even in the understanding of formalised diagrams.