Lucy Spouncer
Maths PhD Student, University of Edinburgh
CDT – Algebra, Geometry, and Quantum fields
Supervisors – Clark Barwick & Pavel Safronov
Research in Homotopy Theory, Category Theory, Algebraic Geometry, and (T)QFT. My current project entails generalising a notion of deformation quantisation, from algebras to operads; deforming En-operads to Pn-operads.
Thesis
- A Theory of Operads: An exposition and critique of Barwick’s ‘From operator categories to higher operads’.
Talks
2024-25
- Two-fold monoidal categories and cographs (Category Theory Seminar, University of Edinburgh)
Writing
2023-24
- Intro to Prerequisites of the Cobordism Hypothesis: A brief introduction to simplicial sets, factorisation homology, model categories sSetQuil and Top, and complete Segal spaces, with a view to understanding the cobordism hypothesis.