Seven connected research programmes spanning critical phenomena, exotic dynamics, non-equilibrium fluctuations, hydrodynamics, holography and superconductivity. Two programmes are currently on hiatus.
We study where hydrodynamic expansions stop being analytic and what that breakdown reveals about microscopic dynamics. The programme compares static screening scales with dynamical pole collisions, follows quasinormal modes through complex momentum, and studies how isolated poles reorganise into branch cuts.
We study universal behaviour near phase transitions using conformal field theory, conformal perturbation theory, renormalisation-group methods, dualities and Monte Carlo calculations. Topological quantum field theory provides a complementary language for phases beyond ordinary symmetry breaking.
We study particles whose velocity need not be proportional to momentum and ask what can be gained by treating the dispersion relation itself as a design variable. The programme runs from boost-agnostic Hamiltonian and kinetic theory to hard-particle simulations, first-passage search in mazes and dispersion-engineered optimisation algorithms.
We develop effective theories of fluctuations, memory and rare events in systems driven away from equilibrium. Schwinger-Keldysh methods let us connect dissipation to noise, test whether non-Gaussian stochastic sectors correspond to genuine positive probabilities, and keep track of memory when additional relaxation modes are resolved or integrated out.
We study driven systems that settle into non-equilibrium steady states because forcing is balanced by relaxation. Gauge-gravity duality supplies controlled strongly coupled examples, while quasihydrodynamics organises approximately conserved quantities and other long-lived degrees of freedom.
We use collective-motion models as a numerical laboratory for non-equilibrium hydrodynamics. The programme connects Vicsek- and Toner-Tu-type dynamics, boost-agnostic effective theories and quenched-disorder tests of collective flow.
We investigate the suppression of superconductivity by strong electric fields in thin films and related structures. A central idea is the analogy between superconducting quasiparticles and relativistic quantum fields, including a superconducting counterpart of Schwinger pair production.
