Dr Ian McIntosh

BSc (Monash), DIC, PhD (London)

Senior Lecturer

Research interests

My research concentrates on the geometry of surfaces. Most of this involves understanding the construction of surfaces which embed or immerse into "nice ambient spaces" so that the surface possesses an attractive property, such as being an area minimizer, or having constant mean curvature (and natural, relevant, generalisations of these properties). This involves a combination of Riemann surface theory, Lie group theory and harmonic map theory (particularly, Riemannian twistor theory). Right now I'm interested in: the conformal geometry of surfaces in the 4-sphere, Willmore surfaces, minimal and Hamiltonian stationary Lagrangian surfaces, using minimal surfaces to understand representations of a surface group (fundamental group of a compact hyperbolic surface).

Recent Publications

2013

Loftin J, McIntosh I. 2013. Minimal Lagrangian surfaces in CH^2 and representations of surface groups into SU(2,1). Geometriae Dedicata. 162(1):67-93. Abstract

2011

Hunter R, McIntosh I. 2011. The classification of Hamiltonian stationary Lagrangian tori in CP^2 by their spectral data.. Manuscripta Mathematica. 135:437-468. Abstract

McIntosh I. 2011. The quaternionic KP hierarchy and conformally immersed 2-tori in the 4-sphere.. Tohoku Mathematical Journal. Second Series, 63(2):183-215. Abstract

McIntosh I, Romon P. 2011. The spectral data for Hamiltonian stationary Lagrangian tori in R^4. Differential Geometry and its Applications. 29(2) Abstract

2008

McIntosh I. 2008. Harmonic tori and their spectral data. Surveys on geometry and integrable systems . 51:285-314.

Full publication list

Teaching

Year: 2013/14
Title	Course category	Term
Introduction to Dynamical Systems	3rd year	Autumn
Differential Geometry	3rd year	Autumn
Linear Algebra	2nd year	Spring Summer

Year: 2012/13
Title	Course category	Term
Differential Geometry	3rd year	Autumn
Introduction to Dynamical Systems	3rd year	Autumn
Riemannian Geometry	Masters	Spring

See all years

Administration

Member of the Mathematics Graduate School Commitee
Postgraduate research student training manager

Chair, MAGIC Programme Committee

Member, MAGIC Management Committee

MAGIC node manager

Department of Mathematics