Overview
Research interests
- Spectral Theory and Differential Operators
- Mathematical Physics
- Computational Spectral Theory
- Analysis on domains with irregular boundaries
- Function Spaces and Inequalities
Research group
Research
Current research projects
- Hardy and Rellich inequalities
- Zero modes of massless Dirac operators
- Representations of compact linear operators in Banach spaces and non-linear eigenvalue problems
- Spectra of the Neumann Laplacian on irregular domains
- Weighted inequalities involving rho-quasiconcave operators
External Funding Since 2000
EPSRC
- GR/N20560 (£4,800) Visiting Fellowship for Professor Y. Saito, June, 2000
- GR/R37111/01 (£63,829) Spectral Theory Network, 2001-04 (with Profs B.M.Brown and E.B.Davies)
- GR/R20885/01 (£111,374) Research Assistantship for Dr R. Romanov, 2002-05 (with Drs B.M.Brown and M.Marletta)
- GR/R95586/01 (£123,595) Research Assistantship for Dr A.Tuykov, 2003-06(with Dr A.Balinsky)
- GR/S47229 (£8,113) Visiting Fellowship for Professor S. Naboko, 2004 (with Prof B.M.Brown and Dr M. Marletta)
- GR/T01556 (£8,150) Visiting Fellowship for Professor M. Solomyak, July 2004
- EP/E04834X (£3,815) Visiting Fellowship for Professor Y. Saito, April, 2007
Other sources
- Leverhulme Trust (F/00407/E) (£19,500) Collaborative research project with Prague Mathematics Institute, 01.03.01-29.02.04
- NATO (£6,490) (PST.CLG.978694) Collaborative research project with European groups, 01.04.02-31.03.04
Major conference talks since 2004
- Warwick Workshop on Large Many Body Systems, 23-28 August, 2004
- Plenary lecture to ISAAC conference in Ankara, 13-18 August, 2007
Books
- Edmunds, D.E. and Evans, W.D. 2004. Hardy Operators, Function Spaces and Embeddings. Berlin, Heidelberg: Springer.
- Edmunds, D.E. and Evans, W.D. 2013. Representation of Linear Operators Between Banach Spaces. Heidelberg, New York, London: Birkhauser-Springer,
- Balinsky, A., Evans, W.D. and Lewis, R.T. 2015. The Analysis and Geometry of Hardy's Inequality. Berlin, London: Springer.
Teaching
Graduated (since 2000)
- R.Wilson
- A.Al-Homaidan
- S.Monaquel
- J.Thomas
Biography
Education
- B.Sc. (Wales) 1961
- D.Phil. (Oxford) 1965
Supervisors
- E.C.Titchmarsh FRS
- J.B.McLeod FRS
Research positions
- Assistant Lecturer, UC Cardiff, 1964-65
- Lecturer, UC Cardiff, 1965-73
- Senior Lecturer, UC Cardiff, 1973-75
- Reader, University of Wales, 1975-77
- Professor of Pure Mathematics, University of Wales, 1977- present
- Emeritus Professor, Cardiff University, 2008- present
Honours and awards
- Fellow of the Learned Society of Wales 2010/11