The area of my research is the theory of integrable systems in relations with algebra, geometry and mathematical physics.
More concretely, 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, theory of random matrices.
Dr Alexey Silantyev (during 2008-2011),
Dr David Johnston (during 2007-2011),
PhD Thesis “Quasi-invariants of hyperplane arrangements”
2F "Foundations of Pure Mathematics", Further Complex Analysis
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