# Research

My research focusses on **quantum integrability **in the contexts of

- Quantum
**spin chains**with**long-range**interactions (Heisenberg, Inozemtsev, Haldaneâ€“Shastry), **Quantum many-body systems**(Calogeroâ€“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.

Last update: 18 Oct ’20