Dr Ian Marquette
Researcher biography
I obtained a Ph.D in physics in 2009 from the Université de Montréal. I also obtained a FQRNT fellowship and spend two years in England. More recently, I obtained in 2013 a Discovery early career award from the ARC and in 2018 a Future Fellowship.
My research lie in the field of mathematical physics. I am interested by integrable exactly solvable systems, their related algebraic structures and special functions.
1.Integrable, superintegrable and exactly solvable models, related differential equations and algebraic structures
2.Lie, quadratic and polynomial Lie algebras, realizations, indecomposable representations
3.Casimir invariants, construction and applications, nonsemi simple Lie algebras
4.Algebraic Bethe Ansatz, quantum inverse scattering method and phase transitions
5.Painlevé transcendents, exceptional orthogonal polynomials and relation to quantum mechanics
Featured projects  Duration 

Quadratic algebras and their Casimir invariants ARC Future Fellowship 

Representation theory of polynomial algebras  
Indecomposable representations in exactly solvable models ARC Future Fellowship 

Virtual copies of nonsemisimple Lie algebras 