The area of my research is the theory of integrable systems in relations with algebra, geometry and mathematical physics.
More specifically, I am working on quantum integrable systems of Calogero-Moser type and their relativistic analogues known as Ruijsenaars-Macdonald operators, Baker-Akhiezer functions and Darboux transformations in many dimensions, Hadamard’s problem in the theory of Huygens’ Principle, Coxeter and other hyperplane arrangements, rings of quasi-invariants, representations of Cherednik algebras, Frobenius manifolds, WDVV equations.
Dr Alexey Silantyev (during 2008-2011), on EPSRC grant “Calogero-Moser systems, Cherednik algebras and Frobenius structures”
Dr David Johnston (during 2007-2011), PhD Thesis “ Quasi-invariants of hyperplane arrangements”
Mr Georgios Antoniou (during 2015-2020), cosupervisor: Prof. Ian Strachan.
Submitted PhD Thesis “ Frobenius structures, Coxeter discriminants, and supersymmetric mechanics” Supporting Mathematica file
Ms Maali Alawi Alkadhem (2017-)
"Classical Field Theory and Special Relativity"
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