**Life span:** 1/10/16 → …

The concept of a classical integrable model with finitely many degrees of freedom dates back to Liouville. More recently, the notion of integrability has been extended to quantum-mechanical systems (examples include Gaudin models and Toda chains) and to field theories with infinitely many degrees of freedom. The prototypical example of an integrable field theory is the KdV equation, which models non-linear waves in shallow water. Other important examples include Toda field theories and non-linear sigma models.

An interesting question is how to quantize a given classical integrable field theory. In recent years many interesting dualities between integrable models have been discovered. Both the ODE/IM and AdS/CFT correspondences can be seen as dualities between classical and quantum integrable models.

We work on topics including:

- Integrable Field Theories
- Ordinary Differential Equation (ODE)/Integrable Model (IM) correspondence
- Integrability in Gauge Theory and String Theory; AdS/CFT correspondence
- Gaudin Models and the Bethe Ansatz

## Pushforwards via scattering equations with applications to positive geometries

Łukowski, T., Moerman, R. & Stalknecht, J., 3 Oct 2022, (E-pub ahead of print) In: Journal of High Energy Physics. 2022, 10, 41 p., 3.Research output: Contribution to journal › Article › peer-review

## Global Convergence of a Curvilinear Search for Non-Convex Optimization

Bartholomew-Biggs, M., Beddiaf, S. & Christianson, B., 26 Aug 2022, In: Numerical Algorithms.Research output: Contribution to journal › Article › peer-review

## The complexity of quantified constraints: collapsibility, switchability and the algebraic formulation

Carvalho, C., Madelaine, F., Martin, B. & Zhuk, D., 24 Jun 2022, (Accepted/In press) In: Transactions on Computational Logic.Research output: Contribution to journal › Article › peer-review

## Homotopy Manin Triples and Higher Current Algebras

Activity: Talk or presentation › Invited talk

## Homotopy Manin Triples and Higher Current Algebras

Activity: Talk or presentation › Invited talk

## Quantum symmetries: Tensor categories, Topological quantum field theories, Vertex algebras

Activity: Participating in or organising an event › Participation in workshop, seminar, course

ID: 10593520