This week

Collective cell migration underlies many biological processes, including morphogenesis and cancer metastasis, yet the mechanisms governing emergent collective motion remain poorly understood. In this talk, I will present our recent advances in modelling the spatiotemporal dynamics of migrating cell collectives. In particular, I will discuss how mathematical theory and analysis, combined with experimental data, has helped us uncover key mechanisms of migration in two distinct systems: mixed dilute populations of immune cells and dense homogeneous groups of amoeba cells. Overall, our work offers a new perspective on collective migration by highlighting the fundamental role of physical interactions in shaping the emergent dynamics of cell groups.

The purpose of the talk is to provide a gentle and informal introduction to a recent monograph written jointly with Nicolas Curien and Armand Riera on self-similar Markov trees. These form a remarkable family of random compact real trees further endowed with a decoration function and a natural finite measure; as the terminology suggests, they are self-similar objects that further satisfy a Markov branching property.
Self-similar Markov trees arise as the scaling limits of a great variety of Galton-Watson processes with integer types. They encompass many random real trees that have been studied over the last decades, such as the Brownian CRT, stable Lévy trees, fragmentation trees, and growth-fragmentation trees.

Rohan Hobbs (25 min talk +5 min Q&A; start: 3:05 PM)
Title: Modelling Bank Run Dynamics Under Correlated Depositor Sentiment


Siqi Zhang (15 min talk +5 min Q&A; Start: 3:40 PM):
Title: Learning the Solution Operator of Optimal Execution Problems


Martin Dattge (15 min talk +5 min Q&A; Start: 4:05 PM):
Title: When Does SINDy Converge? Least-Squares Consistency and Challenges with LASSO


Junhan Lin (25 min talk +5 min Q&A; start: 4:30 PM):
Title: Optimal Liquidation of Perpetual Contracts

All the 4 abstract can be found here: https://emckclac-my.sharepoint.com/:w:/g/personal/k2368977_kcl_ac_uk/IQAvshn5Kj0GTZqqU1tTrzjvAVkiiH8bCQpBYftbByFKqOY?e=GNFJWM

What might a new route into mathematics teaching look like when mathematicians and teacher educators design it together? This talk presents a cross-faculty collaboration at UCL between Mathematics, Statistics, and the IOE that aims to create an innovative interdisciplinary pathway into the mathematics teaching profession. We discuss the design of the Mathematics and Secondary Mathematics Education Teacher Degree Apprenticeship BSc (QTS) programme, the opportunities and challenges of cross-faculty collaboration, and the potential impact on preparing future mathematics teachers.

The dynamics of QCD, unlike QED and gravity, is predominantly quantum in nature. We outline how a semi-classical regime emerges in the high energy Regge limit of the theory, where the dynamics is described by Yang-Mills equations, and multi-particle production is described by shockwave scattering. We demonstrate that trans-Planckian scattering in Einstein gravity can be understood similarly, with emergent double copy structures in gravitational radiation. We discuss possible consequences of this IR <-> UV correspondence in the two theories.

TBA