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 (£3815) 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