Jacob Mercer

BA, MMath

Status

Postgraduate Student

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Critical Drift for Brownian Bees and a Reflected Brownian Motion Invariance Principle (preprint) https://arxiv.org/abs/2412.04527

Research interests

I am generally interested in branching processes, evolutionary selection, free boundary problems and inverse first passage time problems. Specifically I am studying the limiting behaviour and critical values of certain branching Brownian motion particle systems with selection. The random population models have strong links to a number of problems which appear in physics, biology and finance.

Further details

I am a part of the CDT for the Mathematics of Random Systems: Analysis, Modelling and Algorithms, as well as the Probability Group. I am supervised by Professor Julien Berestycki.

Teaching

SB3.1 Applied Probability - Tutor, Hilary term 2025

B8.5 Graph Theory - Tutor, Michaelmas term 2024

SC2 Probability and Statistics for Network Analysis - Tutor, Michaelmas term 2024

'Stanford in Oxford' Tutor, Trinity term 2024

SB3.1 Applied Probability - Tutor, Hilary term 2024

B8.5 Graph Theory - Teaching Assistant, Michaelmas term 2023

ASO Graph Theory - Tutor, Trinity term 2023 (for Jesus College)

SB3.1 Applied Probability - Collections Tutor, Trinity term 2023 (for Lincoln College)

'Monday Maths' Outreach Lecturer to Y12 School Students, Hilary term 2023

B8.2 Continuous Martingales and Stochastic Calculus - Teaching Assisstant, Hilary term 2023

B8.1 Probability, Measure, and Martingales - Teaching Assistant, Michaelmas term 2022