Department of Mathematics
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I received my Master's (MMathPhil) from the University of Oxford, where I read Mathematics and Philosophy at St. Hilda's. I spent two years as a PhD student at UIC in Chicago before transferring to York in 2018. I completed a PhD in Mathematics in 2022 under the supervision of Brent Everitt. My thesis work was on a spectral sequence for sheaf cohomology. My first postdoc was as a Research Associate at York, working with Brent on applications of the thesis result and on understanding the grid homology of knots and links.
Knots, graphs and the volume conjecture: while at UIC, I worked with Laura Schaposnik on some well-known connections between knot invariants and graph invariants. A connected planar graph can be turned into two different alternating links via the medial graph construction and François Jaeger's `double medial' construction. The Tutte polynomial of the starting graph then relates to the Kauffman bracket and the HOMFLY polynomial of the two links, respectively, giving a connection between the two invariants.
I am particularly interested in innovative teaching methods, employing a variety of technological solutions (interactive online quizzes, real-time feedback) aimed at creating an engaging and inclusive learning environment for all students, regardless of their background or learning style. In 2020 I received an Associate Fellowship of HE with a teaching portfolio partly based on my teaching work during the pandemic.