I work on statistical mechanics, studying the collective behaviour of systems with many particles. I typically analyse systems with strong interactions, making use of a variety of powerful mathematical tools. One such tool is* integrability*, which takes advantage of a panoply of symmetries constraining the system. Another is *supersymmetry* famous from particle physics,which yields interesting special properties in some interesting condensed-matter systems. *Field theory* underlies much of theoretical physics, with one particular focus in my work those with *conformal* symmetry.

These methods of strongly interacting statistical mechanics provide essential tools for analysing condensed matter. One particularly striking phenomenon needing them is when collective and microscopic behaviors are radically different, what now goes under the name of *emergence*. A prominent example is *topological matter*, where fractionalised excitations in effect split apart a

system’s constituents. Another is *prethermal* behaviour, where a system takes essentially forever to reach equilibrium. My work continually goes back and forth between the mathematical and the physical side, as no good understanding of these phenomena comes without taking both seriously.

### Research interests

## Selected publications

#### Integrability and braided tensor categories

*Journal of Statistical Physics*Springer

**182:2**(2021) 43

#### Large classes of quantum scarred Hamiltonians from matrix product states

*Physical Review B*American Physical Society

**102:8**(2020) 85120

#### Onsager symmetries in $U(1)$ -invariant clock models

*Journal of Statistical Mechanics: Theory and Experiment*IOP Science

**2019:April 2019**(2019) 043107

#### Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model

*Physical Review Letters*American Physical Society

**120:20**(2018) 206403