Institute for Geometry and its Applications, IGA, differential geometry, algebraic topology, complex geometry, noncommutative geometry, partial differential equations, index theory, geometric Langlands, quantum theory, moduli spaces, representation theory, string theory, mathematical physics, pure mathematics, adelaide

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School of Mathematical Sciences
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Proudly supported in 2018-2023 by:
Mathai's Australian Laureate Fellowship support grant

Postdoc opportunities in Adelaide
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Dennis Sullivan wins 2022 Abel Prize Dennis Sullivan delivered the IGA distinguished Lecture Series in 2018

Geometry lies at the core of modern mathematics with deep and wide implications in all other mathematical disciplines. In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. Geometry pervades modern technology (medical imaging and information security being two well known examples).

At one time 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 (Adelaide). The IGA organises symposia, workshops, instructional schools and regular seminars. The IGA also provides collaborative opportunities to promote research in geometry. The IGA staff are currently researching in a wide range of subjects in the area of geometry including differential, finite, complex, non-commutative and algebraic geometry together with geometric topics in mathematical physics including quantum theory, topological phases of matter, string theory; geometric analysis; index theory; K-theory; moduli spaces; category theory; information security and representation theory. The IGA has recently been recognized as being one of the University's Research Expertise and Strengths in the fundamental disciplines.

In the recent 2018 Excellence in Research for Australia (ERA) nationwide rankings, Pure Mathematics at Adelaide received the outstanding score of 5 (out of 5), rating it well above world standard as well as (joint) top ranking in the nation, photo. For the 2018 ERA rankings within the university, see here. The School of Mathematics also received a top ERA 5 rating as well as a top rating in the new 2018 EI (Engagement and Impact) assessment.
In the 2015 Excellence in Research for Australia (ERA) nationwide rankings, Pure Mathematics at Adelaide received the outstanding score of 5 (out of 5), rating it well above world standard as well as (joint) top ranking in the nation. For the 2015 ERA rankings within the university, see here

2009: IGA special events
2010: IGA Special Year in Geometry and its Applications
2011: IGA special events
2012: IGA special events
2013: IGA special events
2015: IGA Special Year in Geometry and Physics
2016: IGA special events
2017: IGA special events
2018: IGA special events
2019: IGA special events


Upcoming IGA Events

===> IGA/AMSI Workshop, Australia-China-Japan-Singapore-U.S. Index Theory Conference, June 24-28, 2024.
Recent achievements by HDR students:
Esteban Federico Costanza (Leistner, Eastwood, qualified for PhD at Adelaide in 2023)
Mr Wills Nguyen (Larusson, Stevenson, qualified for MPhil in 2023 at Adelaide)
Mr Ryan Dye (Larusson, Stevenson, qualified for MPhil in 2023 at Adelaide)
Dr Manasa Manjunatha (Leistner, Cortes (Hamburg), qualified for PhD in 2023 at Adelaide and Hamburg)
Mr Tyson Klingner (Baraglia, Kari Vilonen, MPhil 2023 at Adelaide) Fullbright Scholarship
Mr Kieran O'Loughlin [qualified for MPhil 2021] (Murray, Stevenson)
Dr Elliot Herrington [qualified for PhD 2021] (Larusson, Leistner)
Mr Stuart Teisseire [qualified for MPhil 2021](Leistner, Eastwood) Dean's commendation for MPhil Thesis Excellence.
Mr Timothy Moy [qualified for MPhil 2021](Leistner, Eastwood) Dean's commendation for MPhil Thesis Excellence.
Mr Ahnaf Tajwar Tahabub (Varghese, Baraglia) is a 2020 Fulbright Future Scholarship recipient.
Mr David Brook [qualified for MPhil 2020](Varghese, Hochs) Dean's commendation for MPhil Thesis Excellence.
Ms Haripriya Sridharan [qualified for MPhil 2020](Larusson, Leistner) Dean's commendation for MPhil Thesis Excellence.
Mr Ben Moore [qualified for MPhil 2020](Eastwood, Leistner) Dean's commendation for MPhil Thesis Excellence. 2020 University Master by Research Medal.
Dr Johnny Lim [qualified for PhD 2019](Varghese, Thiang, Wang) 2019 Elsevier Young Scientist Award. Dean's commendation for Doctoral Thesis Excellence. Lecturer, University Sains Malaysia, Penang.
Ms Kim Becker [qualified for MPhil 2019] (Murray, Stevenson). Dean's commendation for MPhil Thesis Excellence. 2019 University Master by Research Medal. 2019 Oxford Australia Scholarship student at U. Oxford (2019).
Mr Matthew Ryan [qualified for MPhil 2019] (Larusson, Murray). Dean's commendation for MPhil Thesis Excellence. Currently a full PhD (Statistics) scholarship student at Adelaide (2019).
Mr John McCarthy [qualified for MPhil in 2018] (Varghese, Baraglia) Currently a full PhD scholarship student at Imperial College, London. 2018 University Master by Research Medal for outstanding research, Dean's commendation for MPhil Thesis Excellence.
Mr Michael Hallam [qualified for MPhil in 2018] (Varghese, Baraglia) 2017 B.H. Neumann Prize winner. 2018 Elsevier Young Scientist Award winner. Dean's commendation for MPhil Thesis Excellence. Currently a full PhD scholarship student at U. Oxford (2018)
Dr Hao Guo [qualified for PhD in 2018] (Varghese, Wang) 2016 B.H. Neumann Prize winner. NSF funded Visiting Assistant Professor at Texas A&M (2018-2021). Dean's commendation for Doctoral Thesis Excellence.