Daniel Elton - Research Portal | Lancaster University

Interested in supervising doctoral students working on topics in the spectral theory of partial differential operators, particularly those arising in mathematical physics and/or with connections to other areas of mathematics. Potential projects could focus on zero modes of Pauli and Dirac operators, operators with periodic or quasi-periodic coefficients and the stability of embedded eigenvalues.

Research Interests

Analysis of Partial Differential Equations
Spectral Theory
Mathematical Physics

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Publications & Outputs

Published
Decay rates at infinity for solutions to periodic Schrödinger equations
Elton, D. M., 1/06/2020, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 150, 3, p. 1113-1126 14 p.
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Published
On the non-existence of zero modes
Elton, D. M., 1/01/2018, In: Opuscula Mathematica. 38, 4, p. 537-566 20 p.
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Published
Modelling across extremal dependence classes
Wadsworth, J., Tawn, J. A., Davison, A. & Elton, D. M., 01/2017, In: Journal of the Royal Statistical Society: Series B (Statistical Methodology). 79, 1, p. 149-175 27 p.
Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Research

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Current Postgraduate Research Students

Nik Alexandrakis

Luke Mader

Dr Daniel Elton

PhD supervision

Research Interests

Publications & Outputs

Decay rates at infinity for solutions to periodic Schrödinger equations

On the non-existence of zero modes

Modelling across extremal dependence classes

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