History of mathematics; specifically
- Development of abstract algebra during the 19th and 20th centuries
- Russian and Soviet mathematics
- International Congresses of Mathematicians
- Women in mathematics in the nineteenth century
- Historiography of ancient Egyptian mathematics
My research on the development of abstract algebra continues, with a current interest being the attitudes towards abstract symbolic methods among British mathematicians of the mid-19th century; these show some interesting parallels with the views of mathematicians who arrived at similar ideas independently several decades later – I hope eventually to contrast these parallel developments fully, each within its specific context.
Building on prior work on the International Congresses of Mathematicians I plan to continue to use these as a lens through which to view the development of mathematics during the twentieth century, and also as a means of tracking the involvement in international mathematics of a range of nations and groups.
Finally, the study of the historiography of ancient Egyptian mathematics looks set to be a long-term project, which will focus in part on certain Oxford-based figures who contributed to the modern interpretation of ancient mathematics. The ways in which mathematicians and Egyptologists engaged with different texts will be a major theme in this project, aided by the extensive Egyptological archival holdings in Oxford.