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Dr

Ian Marquette

Snr Lecturer, Mathematics

Mathematics & Statistics

Orcid identifier0000-0003-4654-6810
  • Snr Lecturer, Mathematics
    Mathematics & Statistics

BIO

In 2009, I obtained a Ph.D in physic from the Université de Montréal in Canada. I then obtained a FQRNT fellowship for the project: Integrability, superintegrability, algebraic structures and application. I spent two years in England at the University of York in the Department of Mathematics. In 2011, I moved in Australia and worked as postdoctoral researcher at The University of Queensland on exactly solvable and integrable models related to superconductivity and their phase transitions. I also worked as postdoctoral researcher on the topic of indecomposable representations of Lie algebras.

Among my research experiences, I obtained a Discovery early career award from the ARC (2013-2016) for the project DE130101067 New constructions of superintegrable systems and the connection with Painlevé transcendents. I was also granted a future fellowship from ARC (2019-2024) for the project FT1800099: Representation theory in exactly solvable systems. Over the years, I was able to work on different aspect of mathematical physics in particular very interesting quantum models and their symmetries.

Since January 2024, I am working as Senior Lecturer in the Department of Mathematics and Physical Sciences at La Trobe University, I started to expand my research interests in different directions in the field of mathematical physics and the connection with other areas of mathematics. So far in career, I cummulate 108 publications on different topics. A complete list of published and submitted can be foud in the research output and on my arxiv and google scholar

 

https://arxiv.org/a/marquette_i_1.html 

https://scholar.google.com.au/citations?user=5AzveuwAAAAJ&hl=en

 

Mathematical physics is very area with here some recent workshop organised

 

https://www.matrix-inst.org.au/events/nijenhuis-geometry-haantjes-geometry-and-separation-of-variables/


Honours/Masters/PhD projects : There is a range of projects available on different topics of differential equations, mathematical physics, quantum physics and Lie algebras (and generalizations). I am always keen on discussing possibilities of projects.

ACADEMIC POSITIONS

  • Senior Lecturer
    La Trobe University, Mathematics, Australia15 Jan 2024 - present
  • Amplify Senior Lecturer
    The University of Queensland, Mathematics, Australia5 Jan 2023 - 14 Jan 2024
  • Senior Lecturer and Future Fellow ARC
    University of Queensland, Mathematics, Australia5 Jan 2019 - 5 Jan 2023
  • Lecturer
    University of Queensland, Mathematics, Australia1 Jul 2018 - 4 Jan 2019
  • Postdoctoral researcher
    University of Queensland, Mathematics, Brisbane, Australia1 Jun 2016 - 30 Jun 2018
  • DECRA Fellow ARC
    University of Queensland, Mathematics, Australia1 Jun 2013 - 1 Jun 2016
  • Postdoctoral researcher
    University of Queensland, Mathematics, Australia1 Sep 2011 - 1 Jun 2013
  • FQRNT Fellow (Canada)
    University of York, Mathematics, York, United Kingdom1 Sep 2009 - 1 Sep 2011

DEGREES

  • PhD Physics
    University of Montreal, Montreal, Canada1 Sep 2005 - 26 Feb 2009

EXPERTISE