A University Research Centre and the research arm of the Discipline of Pure Mathematics in the School of Mathematical Sciences, the Institute for Geometry and its Applications (IGA) was founded on the 7th of November 1996, in recognition of the strong group of researchers in geometry and its applications at Adelaide, with its inaugural director being Professor Michael Eastwood (Federation Fellow, MSI, ANU). The IGA organises symposia, workshops, instructional schools and regular seminars. The IGA also provides collaborative opportunities to promote research in geometry.

The IGA has recently been recognized as being one of the University's Research Expertise and Strengths in the fundamental disciplines. In the 2010 Excellence in Research for Australia (ERA) nationwide rankings, pure mathematics at Adelaide received an impressive score of 4 (out of 5), rating it above world standard.

The IGA staff currently are researching in wide range of subjects in the area of geometry including differential, finite, complex, non-commutative and algebraic geometry together with other geometric topics in mathematical physics, partial differential equations, index theory, K-theory, moduli spaces, information security, string theory, and representation theory.

2009: IGA special events
2010: IGA Special Year in Geometry and its Applications
2011: IGA special events