Research

My research focusses on quantum integrability in the contexts of

• Quantum spin chains with long-range interactions (Heisenberg, Inozemtsev, Haldane–Shastry),
• Quantum many-body systems (Calogero–Sutherland, Ruijsenaars),
• Classical statistical-mechanical lattice models (six-vertex, elliptic solid-on-solid),

as well as the associated

• Quantum algebra (quantum groups, affine Hecke algebras),
• Diagrammatic methods (a picture is worth a thousand words), and
• Orthogonal polynomials (Jack, Macdonald).

More broadly I am interested in mathematical physics: the interplay between mathematics and theoretical physics. This includes quantum field theory, both ordinary and supersymmetric (I like N=2); in fact, that is where my interest in quantum integrability started: see my MSc thesis for theoretical physics.

See also the events that I have participated in or check out my questions and answers on MathOverflow, Mathematica.SE and other StackExchange sites.