Professor Des Evans

Professor Des Evans

Emeritus Professor of Mathematics

School of Mathematics

Email:
evanswd@cardiff.ac.uk
Telephone:
+44 (0)29 2087 4206
Location:
E/1.09, 1st Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG

Research interests

  • Spectral Theory and Differential Operators
  • Mathematical Physics
  • Computational Spectral Theory
  • Analysis on domains with irregular boundaries
  • Function Spaces and Inequalities

Research group

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

2016

2015

2013

2012

2011

2010

2009

2008

2006

2005

2004

2003

2002

2001

1999

1998

1993

Graduated (since 2000)

  • R.Wilson
  • A.Al-Homaidan
  • S.Monaquel
  • J.Thomas

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.