Quantum anomalies

1. 2025 A Field Theory of Localization Ph.D. Dissertation, University of Maryland, College Park ↗
2. 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.
3. 2024 Generic Topological Criterion for Flat Bands in Two Dimensions A flat band lets you delete time from the theory. What survives the deletion is an anomaly, and an anomaly has to come out a whole number — so the magic angle is a counting condition on the flux through one moiré cell.
4. 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.
5. 2021 Chiral Anomaly in Interacting Condensed Matter Systems The chiral anomaly says a certain charge leaks away whenever the electric and magnetic fields are not perpendicular. Turn the interactions on and the equation keeps its shape exactly — provided the two fields in it are replaced by fields the interacting matter has dressed.

Joined on the board to Flat bands & topology.
Every publication, with the ones that have no page here, is on the CV.