Research Interests

Details can be found on my personal web page.

A full list of publications, conference presentations, and patents can be found here.

Publications

TJB [2006] Canonical multi-symplectic structure on the total exterior algebra bundle, Proc. Royal Soc. London A 462: 1531--1551.
TJB & N.M. Donaldson [2006] Secondary criticality of water waves. Part 1. Definition, bifurcation and solitary waves, J. Fluid Mech. 565: 381-417.
TJB & S. Reich [2006] Numerical methods for Hamiltonian PDEs, J. Phys. A: Math. Gen. 39 5287-5320.
TJB & N.M. Donaldson} [2005] Degenerate periodic orbits and homoclinic torus bifurcation, Phys. Rev. Lett. 95 104301.
TJB & F.E. Laine-Pearson} [2004] Nonlinear counterpropagating waves, multi-symplectic geometry, and the stability of standing waves, SIAM J. Appl. Math. 64 2096-2120.

Teaching

• MS303 Theory of Curves and Surfaces (Autumn 2007)
• MSM.TWW Theory of Water Waves (Spring 2008)

Departmental Duties

Director of Postgraduate Studies in Mathematics, Member of School Postgraduate Research Committee,
Member of the Department Management Committee, Member of the Faculty Teaching and Learning Committee,
Leader of the Geometric Fluid Dynamics research group,
Programme Director for the MSc in Hydroinformatics, Chair of the MSc Board of Studies