Seminars without (*) are in the Maths Seminars archive; the others are hosted on external websites or have no web presence.
Collective locomotion of flying animals is fascinating in terms of individual-level fluid mechanics and group-level structure and dynamics. In this talk, I will introduce a model of formation flight that views the collective as a material whose properties arise from […]
Finding Morita invariants of fusion categories enriched over a fixed modular tensor category is important because, by a form of the cobordism hypothesis, they correspond (2+1)D twice-extended framed TQFTs, and therefore to physical characteristics of topological phases of matter. In […]
Informal seminar.
Abstract: Arising from extremal combinatorics, the global Zarankiewicz problem seeks an upper bound on the number of edges of a finite $r$-hypergraph where the edge relation is induced by some fixed hypergraph that does not contain the compete $r$-hypergraph $K_{k,\dots,k}$ […]
Riemannian structures of limited regularity arise naturally in the realm of geometric PDEs, especially in relation to physical models. Since the work of Sabitov-Shefel and De Turck-Kazdan in the late seventies, it is well known that the optimal regularity of […]
Despite decades of application of epidemiological models to respiratory viruses such as influenza and coronavirus, there is no standard model for capturing the life history of disease or immunological response, nor a standard approach to inference. I introduce two deterministic […]
In this talk, a new approach for solving the problems of pricing and hedging derivatives is introduced in a general frictionless market setting. The method is applicable even in cases where an equivalent local martingale measure fails to exist. Our […]
The BKM system is a recently (2022) discovered multicomponent integrable system of partial differential equations. These multicomponent, nonlinear, dispersive systems display features characteristic of physically relevant models: covariance, infinitely many conservation laws, hidden symmetries, and the existence of compactly supported […]
TBD
Planar random growth processes occur widely in the physical world. Examples include diffusion-limited aggregation (DLA) for mineral deposition and the Eden model for biological cell growth. One approach to mathematically modelling such processes is to represent the randomly growing clusters […]
Planar random growth processes occur widely in the physical world. Examples include diffusion-limited aggregation (DLA) for mineral deposition and the Eden model for biological cell growth. One approach to mathematically modelling such processes is to represent the randomly growing clusters […]
Notes: unusual room, 2 hours seminar.
Abstract: TBA
I will discuss the geometry of CMC surfaces embedded in Euclidean space with finite genus and, among other things, prove a local area estimate for such surfaces. This is joint work with Bill Meeks.
Notes: unusual room.
Given an action of a group $G$ on a relational Fraïssé structure $M$, we call this action sharply $k$-homogeneous if, for each isomorphism $f : A \to B$ of substructures of $M$ of size $k$, there is exactly one element of […]
Infectious diseases are often modelled via stochastic individual-level state-transition processes. As the transmission process is typically only partially and noisily observed, inference for these models generally follows a Bayesian data augmentation approach. However, standard data augmentation Markov chain Monte Carlo […]
Consider the complete bipartite graph with $n$ black vertices and $m=an$ white vertices. Edges in the graph can only exist between vertices of different colours. Equip the $mn/2$ edges of the graph with i.i.d Uniform (0, 1) weights. The minimum […]
TBA