Ian McIntosh

Dr. Ian McIntosh is a Senior Lecturer in the Department of Mathematics at the University of York. He holds a PhD from Imperial College London and has held academic positions at institutions including the Universities of Cambridge, Newcastle, Bath, and the University of Massachusetts Amherst. His research focuses on differential geometry, particularly minimal surfaces, harmonic maps, and Higgs bundles, with applications to non-compact Lie groups and hyperbolic geometry. He is part of the Geometry and Analysis Research Group.

Education:

• Bachelor's degree from Monash University, Australia
• PhD from Imperial College London

Research Interests: Dr. McIntosh studies geometric structures on surfaces, including minimal surfaces in hyperbolic spaces and their connections to Higgs bundles. His work integrates differential geometry with algebraic methods, exploring topics such as equivariant minimal surfaces, spectral data, and representation theory of surface groups into Lie groups like SU(n,1). He investigates the geometric Toda equations and their role in integrable systems.

Advising and Grants: Currently supervising PhD student Cordelia Webb (cw1953@york.ac.uk). His research has been supported by projects exploring parametrization of surface group representations via minimal surface theory. He organizes academic events like the 2024 'Algebraic and Analytic Methods in Gauge Theory' conference.

Professional Activities: Active in peer review, invited talks, and visiting scholar roles, such as at the University of Illinois at Chicago (May 2024). His work bridges pure geometry with applications in mathematical physics and algebraic structures.