Rosie and Nick are just about to start their third year. Before they finished their second year, we had a chat about stuff: maths stuff and Oxford stuff.

Thu, 29 Oct 2026
13:30
L5

Spectrum of Invertible Phases

Rui Wen
Abstract
Invertible phases of matter are closely related to homotopy theory. Kitaev famously proposed that invertible phases in different spatial dimensions organize into a spectrum. Several recent works have sought to establish this proposal rigorously. In this talk, I will introduce the notion of a spectrum and review Kitaev’s argument, then discuss recent progress toward proving his conjecture. 
Thu, 22 Oct 2026
13:30
L5

Holographic Krylov Complexity

Chris Couzens
Abstract
Krylov complexity is a powerful diagnostic of operator growth in quantum many-body systems. It has recently been applied to holography, where it is argues that the complexity is encoded geometrically by studying geodesics. In this talk I will review the different notions of complexity, before focussing on Krylov and then looking at applications of this to study confinement in holography. 
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