Geometry & gravity

1. 2026 Bosonic Codes from Compact Phase Spaces The GKP code lives on a torus of phase space, with displacements as its stabilizers. Bend that phase space into a hyperbolic surface and the stabilizers become squeezing operators, the code words become automorphic forms, and the logical gates become any finite group you care to name. The same curvature then takes the code states away — not approximately, exactly.
2. 2026 Covariant Response Tensors, Time-Reversal Characters, and Photoconductivity in Twisted Nanowires Symmetry framework for photovoltaic and photoconductive response; handedness-activated photocurrent in twisted and screw-dislocated wires. In preparation
3. 2025 Geometric Delocalization in Two Dimensions Two dimensions is the borderline case: a random walker in the flat plane always comes back. Crumple the plane into a surface you could actually build — flat on average, curved in patches — and the walker escapes.
4. 2025 A Field Theory of Localization Ph.D. Dissertation, University of Maryland, College Park ↗
5. 2024 Path-Integral Approach to Quantum Anomalies in Interacting Models Put the interaction inside the regulator, and everything the chiral anomaly does comes out multiplied by one of two numbers. One of them is a length: it gives the anomaly waves of its own, with a mass. The other is a screening factor, and it follows the anomaly out of a Landau level and into the temperature of a horizon.
6. 2022 Non-Abelian Bosonization in a (3+1)-D Kondo Semimetal via Quantum Anomalies Bosonization works in one dimension because a well-chosen rotation of the fermions makes the coupling disappear. In three dimensions the rotation still exists — it takes three moves instead of one — and the price of making it is the entire low-energy theory of the spins.
7. 2022 Strained Bilayer Graphene, Emergent Energy Scales, and Moiré Gravity Stretching one layer of graphene does what twisting it does. Written geometrically, both are an electron tunnelling between two curved spacetimes — and the same construction, applied to gravity, leaves a cosmological constant far smaller than either universe’s own.
8. 2022 Moiré Gravity and Cosmology Give spacetime two metrics instead of one and causality forces them into step, leaving a single geometric scalar behind. That scalar behaves like a dilaton and like a Higgs, gives the Starobinsky action when integrated out, and rolls the vacuum energy down to nothing on its way to equilibrium.

Joined on the board to Synthetic gauge fields, Moiré & twisted bilayers and Quantum information & codes.
Every publication, with the ones that have no page here, is on the CV.