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Dive into the research topics where Jacob Shapiro MATH is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Projects
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Classification of disordered insulators
Shapiro MATH, J. (PI)
NSF - National Science Foundation
7/15/25 → 6/30/27
Project: Research project
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The index of a pair of pure states and the interacting integer quantum Hall effect
Bachmann, S., Shapiro, J. & Tauber, C., Jan 19 2026, In: Forum of Mathematics, Sigma. 14, e10.Research output: Contribution to journal › Article › peer-review
Open Access -
Edge Spectrum for Truncated Z2-Insulators
Drouot, A., Shapiro, J. & Zhu, X., Sep 2025, In: Mathematical Physics Analysis and Geometry. 28, 3, 26.Research output: Contribution to journal › Article › peer-review
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Lower Bounds on Quantum Tunneling for Excited States
Fefferman, C. L., Shapiro, J. & Weinstein, M. I., Nov 2025, In: Journal of Geometric Analysis. 35, 11, 357.Research output: Contribution to journal › Article › peer-review
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Quantum tunneling and its absence in deep wells and strong magnetic fields
Fefferman, C. L., Shapiro, J. & Weinstein, M. I., Feb 25 2025, In: Proceedings of the National Academy of Sciences of the United States of America. 122, 8, e2420062122.Research output: Contribution to journal › Article › peer-review
Open Access1 Link opens in a new tab Scopus citations -
Topological classification of insulators: I. Non-interacting spectrally-gapped one-dimensional systems
Chung, J. H. & Shapiro, J., Nov 2025, In: Advances in Mathematics. 480, 110486.Research output: Contribution to journal › Article › peer-review
1 Link opens in a new tab Scopus citations