nLab Amanda Young

• personal page (old)

• institute page (Illinois)

• institute page (Munich, old)

• GoogleScholar page

Selected writings

On the Levin-Wen model:

• Liang Chang, Meng Cheng, Shawn X. Cui, Yuting Hu, Wei Jin, Ramis Movassagh, Pieter Naaijkens, Zhenghan Wang, Amanda Young: On Enriching the Levin-Wen model with Symmetry, J. Phys. A: Math. Theor. 48 (2016) 12FT01 [arXiv:1412.6589]

On lattice field theory-models which remain gapped in the continuum limit:

• Houssam Abdul-Rahman, Marius Lemm, Angelo Lucia, Bruno Nachtergaele, Amanda Young, A class of two-dimensional AKLT models with a gap, in: Analytic Trends in Mathematical Physics, Contemporary Mathematics 741, AMS (2020) [arXiv:1901.09297, doi:10.1090/conm/741/14917]

• Simone Warzel, Amanda Young: A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential, Ann. Henri Poincaré 24 (2023) 133–178 [arXiv:2108.10794, doi:10.1007/s00023-022-01210-z]

• Angelo Lucia, Amanda Young: A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs, J. Math. Phys. 64 (2023) 041902 [arXiv:2212.11872, doi:10.1063/5.0139706]

• Amanda Young: On a bulk gap strategy for quantum lattice models, Reviews in Mathematical Physics 36 09 (2024) 2460007 [arXiv:2308.01405, doi:10.1142/S0129055X24600079]

and specifically for spin systems (as in: “spin chains”):

• Amanda Young: Quantum Spin Systems [arXiv:2308.07848, spire:2688309]

Review:

• Amanda Young: Gap stability and the AKLT model on the hexagonal lattice, talk at QMATH16, Munich (2025) [pdf]

category: people