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Personal profile

Research interests

My area of research interest is the spectral theory of linear operators and its application to the solution of problems in the mathematical physics and functional analysis. My recent research activity covers a broad area, including topics as far-off as high energy physics and numerical linear algebra. These include Numerical approximation of eigenvalues of self-adjoint operators Spectral theory of non-self-adjoint operators Non-trivial aspects of pseudospectral theory Spectral theory of supermembranes


I obtained my PhD degree in Mathematics from King's College London in 2001. Before arriving in Heriot-Watt University I spend a couple of years as a lecturer in the Universidad Simon Bolivar (Venezuela) and as a postdoctoral fellow in the University of Calgary (Canada). I have been staff here since 2005.

Fingerprint Dive into the research topics where Lyonell Boulton is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Eigenvalue Mathematics
Self-adjoint Operator Mathematics
Pollution Mathematics
Enclosure Mathematics
uniqueness Physics & Astronomy
Matrix Models Mathematics
matrices Physics & Astronomy
ground state Physics & Astronomy

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Research Output 2005 2019

A Multi-Term Basis Criterion for Families of Dilated Periodic Functions

Boulton, L. & Melkonian, H., 7 Jan 2019, In : Zeitschrift für Analysis und ihre Anwendungen. 38, 1, p. 107–124 18 p.

Research output: Contribution to journalArticle

Periodic Functions
Riesz Basis
Fourier coefficients

Measure of the potential valleys of the supermembrane theory

Boulton, L., García Del Moral, M. P. & Restuccia, Á., 21 Aug 2019, In : Physics Letters B. 797, 134873.

Research output: Contribution to journalArticle

Open Access
Sobolev space
Dirichlet problem

Quantum Bound States in Yang–Mills–Higgs Theory

Boulton, L., Schroers, B. J. & Smedley-Williams, K., Oct 2018, In : Communications in Mathematical Physics. 363, 1, p. 261-287 27 p.

Research output: Contribution to journalArticle

Open Access
Laplace transformation
Bound States

The Ground State of the D = 11 Supermembrane: The External Dirichlet Problem

Boulton, L., Garcia del Moral, M. P. & Restuccia, A., 25 Jun 2018, In : Journal of Physics: Conference Series. 1043, 1, 012034.

Research output: Contribution to journalConference article

Open Access
Dirichlet problem
ground state
Hilbert space

Arguments towards the construction of a matrix model groundstate

Boulton, L., Garcia del Moral, M. P. & Restuccia, A., 17 Jun 2016, In : Journal of Physics: Conference Series. 720, 1, 3 p., 012019.

Research output: Contribution to journalArticle

Cauchy's integral theorem
Matrix Models
Ground State
Bounded Domain
Existence and Uniqueness