Projects per year

## Personal profile

### Research interests

My research is in probability, and concentrates mainly on systems with an underlying branching structure.

This includes traditional mathematical models such as branching Brownian motion and Galton-Watson trees. We imagine a system of organisms, each of which moves around in space, breeds and eventually dies. Does the population survive forever, or eventually die out? How quickly does it colonise space?

It turns out that these mathematical questions have some surprising applications, and I am also interested in ways of using branching models to study other objects: computer algorithms, mutation rates in evolutionary biology, and mixing times for Markov chains, to name a few examples.

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## Projects 2013 2021

### UR Fellowship - Spacial Dependence in Branching Structures

1/10/16 → 30/09/21

Project: Research council

### EPSRC Posdoctoral Fellowship in Applied Probability for Dr Matthew I Roberts

3/04/13 → 2/07/16

Project: Research council

## Research Output 2009 2018

### Scaling limit and ageing for branching random walk in Pareto environment

Ortgiese, M. & Roberts, M. 11 Jul 2018 In : Annales de l'Institut Henri Poincaré: Probabilités et Statistiques. 54, 3, p. 1291-1313Research output: Contribution to journal › Article

### Mixing time bounds via bottleneck sequences

Addario-Berry, L. & Roberts, M. 11 Nov 2017 In : Journal of Statistical Physics. 27 p.Research output: Contribution to journal › Article

### One-point localization for branching random walk in Pareto environment

Ortgiese, M. & Roberts, M. 17 Jan 2017 In : Electronic Journal of Probability. 22, 20 p., 6Research output: Contribution to journal › Article

### The coalescent structure of continuous-time Galton-Watson trees

Johnston, S. G. G. 26 Sep 2017 116 p.Research output: Thesis › Doctoral Thesis

### The many-to-few lemma and multiple spines

Harris, S. & Roberts, M. 8 Feb 2017 In : Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 53, 1, p. 226-242Research output: Contribution to journal › Article