Our research group focuses on the development of mathematical methodologies — primarily asymptotic analysis and perturbation theory — for applications in applied mathematics and real-world phenomena.

If you are interested in my more recent work on flooding, there are some details here: Asymptotics for intermodel comparisons of flood-estimation models and New directions for theoretical flooding research

Most of us work on problems motivated by continuum mechanics and fluid dynamics, but there is a unified interest in developing sophisticated methods in perturbation theory.

• Josh Shelton

• Henry Writer (Exponential asymptotics, wave-structure interactions)
• Edwin Watson-Miller (Exponential asymptotics, pattern formation, PDEs)
• Timothy Peters (Mathematical models of ice crystal icing in aeroengines)
• Cecilie Andersen (Exponential asymptotics, bubbles, and jets)
• Helen Fletcher (Numerical boundary conditions for water waves and wave-flume experiments)

• Joe Addisson (2024-25)

• Samuel Crew – now postdoc at Max Planck Institute - Security and Privacy (Ruhr, Germany)

• Dr. Piotr Morawiecki (finished 2023). Now teacher in the IB Diploma Programme in Warsaw
• Dr. Josh Shelton (finished 2022). Now postdoc at University of Bath.
• Dr. Yyanis Johnson-Llambias (finished 2022)
• Dr. Clint Wong (finished 2021). Now a quant at Bank of America.
• Dr. Naima Hammoud (finished 2016). Now a Courant Instructor at New York University.

• Sam Mackenzie (2023-24)
  Project: Mathematical models of thin films on curved surfaces
  Now:
• Nina Perić (2023-24)
  Project: An exploration of the Lorenz equations: physical origin, dynamics and chaos
  Now: Data Scientist at National Physical Laboratories
• Martin Moreno Delgado (2022-23)
  Project: On the design and analysis of physics-informed neural networks to the method of matched asymptotics
  Now: Analyst at Evercore Investment Banking; MSc student at Oxford
• Mark Hepworth (2021-22)
• Henry Lockyer (2020-21) – now PhD student in Mathematics at Bath
• Raban Braymuk (2020-21)
• Ana Cassaniga Simmons (2020–21)
  Project: An introduction to complex ray theory and its applications
  Now: Data scientist at Mango Solutions
• Simon Watson (2019–20)
  Project: Continuum models of climate change
  Now: Mathematical Modeller at Jacobs.
• Thomas Kilcoyne (2019–20)
  Project: Modelling climate change in a chaotic world
  Now: Programmer at Amgen
• Lizzie Collingwood (2019–20)
  Project: An introduction to perturbation theory and wave phenomena
  Now: MSc student in Applied Mathematics at Imperial College; PhD student with the British Antartic Survey.
• Emma Bailey (2019–20)
  Project: Mathematical modelling of climate and traffic
  Now: PhD student in Environmental Intelligence at Exeter University
• —insert very long list of pre-2020 students—