Research

From kinetic structure to observable transport

I work on spatially inhomogeneous two-dimensional electron systems, with an emphasis on what microscopic transport information survives into experimentally accessible voltage, current, and dissipation maps.

Kinetic-to-hydrodynamic crossover

Spatial magnetotransport around controlled density inhomogeneities across diffusive, hydrodynamic, and ballistic regimes, with attention to the hierarchy of angular harmonics retained or discarded by closure.

Higher harmonics and closure obstruction

Higher-gradient and finite-wave-number operators that remain after stress-level closure has exhausted its degrees of freedom, including chiral magnetic-field dependence and nonlocal completion.

Symmetry-designed kinetic probes

Device and drive symmetries that null lower-order dissipative channels locally and thereby promote higher-harmonic kinetic response into the leading observable signal.

Finite-resolution inference

Observable-level tests for scanning-probe transport that explicitly include finite resolution, boundaries, and higher-gradient nuisance response rather than identifying formal bulk coefficients with measurable signals.

Quantum Hall response

Thermoelectric and viscous contrast in local quantum Hall measurements, together with related work on spin splitting and spatial response in high magnetic fields.

Rare-event trajectory geometry

Worldline optimal fluctuations and small-denominator mechanisms for heavy tails, including endpoint conditions, crossovers, and finite observation windows.

Representative methods

Boltzmann kinetic theory · electron hydrodynamics · semiclassical transport · linear response · asymptotics · quantum transport · electrostatics and Thomas–Fermi theory · numerical modeling · reproducible computational workflows.