Lyonell Boulton

Lyonell Boulton is a Professor at the School of Mathematical and Computer Sciences, Heriot-Watt University, specializing in the spectral theory of linear operators and its applications to mathematical physics and functional analysis. His work bridges theoretical and applied mathematics, with recent contributions to eigenvalue approximation, non-self-adjoint operators, and pseudospectral theory.

Research Interests:

• Spectral theory of self-adjoint and non-self-adjoint operators
• Applications to mathematical physics (e.g., supermembranes, Schrödinger's equation)
• Dispersive partial differential equations
• Numerical linear algebra and eigenvalue computations

Recent Publications highlight trends in spectral analysis of Dirac operators, revival effects in dispersive PDEs, and fractal solutions to periodic equations, reflecting his interdisciplinary focus.