Seminars without (*) are in the Maths Seminars archive; the others are hosted on external websites or have no web presence.
Abstract: Suppose an ant is attempting to get from its den to some food, the shortest path is of course a line so smooth. If, however, there is some obstacle in its path the ant will have to divert onto […]
A fundamental observable of black holes is their quasinormal mode (QNM) spectrum: the characteristic frequencies and decay rates of linear perturbations. In gravitational wave astronomy, QNMs can be measured during the ringdown phase of a black hole merger to infer […]
Abstract: I will report on joint work with Jack Romo on defining modular tensor categories from homotopy finite spaces, building from a general construction of once-extended TQFTs derived from homotopy finite spaces (joint with Tim Porter).
Do Carmo's problem asks whether every complete, noncompact, stable constant mean curvature (CMC) hypersurface in Euclidean space must be minimal. I will first review some classical and recent progress on this question, with particular emphasis on dimension-free rigidity phenomena and […]
Woodin's HOD Dichotomy states that in the presence of large cardinals, the universe of sets is either very close to being HOD, or it is very very far from that. In this recent work with Hope Duncan and Gabe Goldberg […]
Poisson-Voronoi percolation can be defined on any metric space $(M,d)$ with an infinite Radon measure $\mu$ as follows. For $\lambda>0$, consider a Poisson point process of intensity $\lambda\mu$ and associate to each point of the process its Voronoi cell, that […]
While powerful methods have been developed for high-dimensional hypothesis testing assuming orthogonal predictors, current approaches struggle to generalise to non-orthogonal designs. Procedures such as Generalised Higher Criticism and the Cauchy Combination Test pay a substantial price in reduced power for […]
TBA
In this talk, I will introduce spherical horoconvexity, a new notion of convexity inspired by its hyperbolic counterpart. The focus will be on its definition and geometric meaning, with geodesic spheres tangent to the equator playing the role of horospheres. […]
De Fenetti’s Theorem states that all N-indexed exchangeable sequences of real-valued random variables are mixings of i.i.d sequences. For real-valued random processes with exchangeable increments on [0, 1], Kallenberg’s 1973 result provides a complete characterisation of these processes via another […]
Automorphic Lie algebras are infinite-dimensional Lie algebras of meromorphic maps (usually with prescribed poles) from a Riemann surface $X$ into a finite-dimensional Lie algebra $\mathfrak{g}$, equivariant with respect to a group acting by automorphisms on both $X$ and $\mathfrak{g}$. They […]