Professor Alan M^cIntosh

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Research interests

Harmonic Analysis, Operator Theory and Partial Differential Equations:

Singular integrals and square function estimates on Lipschitz surfaces, with applications to boundary value problems for partial differential equations; scattering theory for Maxwell's equations on irregular domains; spectral theory and functional calculi of operators in Banach spaces; Clifford analysis; heat kernel bounds and functional calculi of elliptic partial differential operators.

ARC Grant 2005-2007:

Harmonic Analysis and Boundary Value Problems for Elliptic Systems.

Publications

• Refereed Articles
• Lectures and Surveys
• Submitted or in Preparation
• Proceedings Edited

Lecture notes (unpublished)

• The Square Root Problem of Kato and Related First Order Systems (Universidad Sevilla, November 2010)
• Operator Theory - Spectra and Functional Calculi (ANU, 2009, Semester 2)
• Kato's square root problem: background and recent results (2003)
• Functional calculus of non self-adjoint Dirac operators (U. Paris Sud,2003)
• Other lecture notes are listed as published lectures and surveys

Contact details

Email Address

Alan.McIntosh {AT} anu.edu.au

Postal Address

Centre for Mathematics and its Applications
Mathematical Sciences Institute
Australian National University
Canberra ACT 0200
Australia

Phone

(61-2) 6125 2897

Fax

(61-2) 6125 5549

Personal

• International Conference on Harmonic Analysis and Related Topics (Macquarie University, 14-18 January 2002) - Pictures
• 2002 Moyal Medal for Excellence in Mathematics, Physics and Statistics - Pictures

Links

• Abstract Analysis and Geometry Program
• Applied and Nonlinear Analysis Program
• Mathematical Sciences Institute, ANU