Publications
A selection of research papers across mathematical physics, quantum physics, machine learning, and theoretical physics.
How to Build Anomalous (3+1)d Topological Quantum Field Theories
arXiv preprint (2025).
We develop a fermionic framework for constructing (3+1)-dimensional topological quantum field theories that realize prescribed finite-symmetry anomalies. It establishes realizability for supercohomology anomalies while identifying an obstruction beyond supercohomology.
Global structure in the presence of a topological defect
arXiv preprint (2025).
By relating the Pontryagin–Thom construction to topological defects, we derive tools for tracking how global structure constrains defects and their ambient manifolds. We apply them to higher-form symmetry breaking.
Crystallography, Group Cohomology, and Lieb-Schultz-Mattis Constraints
SciPost Physics 18, 161 (2025).
We compute mod-2 cohomology rings for all 230 three-dimensional space groups and use them to derive Lieb-Schultz-Mattis constraints. The results provide tools for analyzing crystalline quantum many-body systems.
Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders
Communications in Mathematical Physics 406, 178 (2025).
We formulate anomaly indicators for (2+1)-dimensional fermionic topological orders as partition functions of a (3+1)-dimensional topological quantum field theory. The proposal recovers known indicators and is tested in nontrivial examples.
Complexity and order in approximate quantum error-correcting codes
Nature Physics 20, 1798–1803 (2024).
We introduce subsystem variance as a link between circuit complexity and approximate quantum error correction. It yields lower bounds on complexity and identifies an O(k/n) threshold for subsystem variance (O(1/n) when k is fixed).
Universal quantum phase classification on quantum computers from machine learning
arXiv preprint (2025).
We combine shadow tomography with time-series machine learning to identify quantum phases without a local order parameter. Tests on the Ising and ANNNI models recover their known phase boundaries.
Topological Holography for fermions
arXiv preprint (2024).
We extend the symmetry-TQFT description of topological holography to fermionic systems, recovering their symmetry and topological data. The construction also produces a new intrinsically gapless fermionic SPT phase.
Classification of symmetry-enriched topological quantum spin liquids
Physical Review X 14, 021053 (2024).
We give a systematic classification of two-dimensional symmetry-enriched topological quantum spin liquids with lattice, internal, anti-unitary, and anyon-permuting symmetries. It includes examples not easily captured by the usual parton mean-field approach.
Anomaly of (2+1)-Dimensional Symmetry-Enriched Topological Order from (3+1)-Dimensional Topological Quantum Field Theory
SciPost Physics 15, 004 (2023).
We provide a (3+1)-dimensional TQFT framework for calculating anomaly indicators of (2+1)-dimensional symmetry-enriched topological orders. It covers general symmetries, including cases with enforced gaplessness and quantized Hall responses.
Probing sign structure using measurement-induced entanglement
Quantum 7, 910 (2023).
We show that measurement-induced entanglement can diagnose the sign structure of a many-body wavefunction. The method proves upper bounds for sign-free stabilizer states and sign-free two-qubit wavefunctions, and distinguishes signful critical and hybrid systems.
Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality
SciPost Physics 13, 066 (2022).
We characterize Lieb-Schultz-Mattis constraints using topological partition functions and apply the framework to symmetry-enriched quantum criticality. It identifies constraints on exotic critical states and symmetry breaking.
Ultraviolet-Infrared Mixing in Marginal Fermi Liquids
Physical Review Letters 128, 106402 (2022). [Editors’ Suggestion]
We show that virtual Cooper pairs generate higher-loop ultraviolet–infrared mixing in marginal Fermi liquids. This enhances low-energy interactions and reduces the basin of attraction of the weak-coupling fixed point.
Quasinormal modes of Gauss-Bonnet black holes at large D
Journal of High Energy Physics 01 (2016) 085.
We compute quasinormal-mode spectra of Gauss-Bonnet black holes in the large-D limit. The analysis uncovers new large-coupling behavior using analytic and numerical methods.