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Jacob Shapiro
Jacob Shapiro
Princeton University Mathematics Department
Verified email at math.princeton.edu - Homepage
Title
Cited by
Cited by
Year
The bulk-edge correspondence for disordered chiral chains
GM Graf, J Shapiro
Communications in Mathematical Physics 363 (3), 829-846, 2018
732018
Strongly disordered Floquet topological systems
J Shapiro, C Tauber
Annales Henri Poincaré 20 (6), 1837-1875, 2019
422019
The bulk-edge correspondence in three simple cases
J Shapiro
Reviews in Mathematical Physics 32 (03), 2030003, 2020
412020
Tight-binding reduction and topological equivalence in strong magnetic fields
J Shapiro, MI Weinstein
Advances in Mathematics 403, 108343, 2022
352022
Dynamical Localization for Random Band Matrices Up to
G Cipolloni, R Peled, J Schenker, J Shapiro
Communications in Mathematical Physics 405 (3), 82, 2024
252024
Lower bound on quantum tunneling for strong magnetic fields
C Fefferman, J Shapiro, MI Weinstein
SIAM Journal on Mathematical Analysis 54 (1), 1105-1130, 2022
252022
Fredholm homotopies for strongly-disordered 2D insulators
A Bols, J Schenker, J Shapiro
Communications in Mathematical Physics 397 (3), 1163-1190, 2023
182023
Depinning in the integer-valued gaussian field and the bkt phase of the 2d villain model
M Aizenman, M Harel, R Peled, J Shapiro
arXiv preprint arXiv:2110.09498, 2021
152021
Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory
E Fonseca, J Shapiro, A Sheta, A Wang, K Yamakawa
Mathematical Physics, Analysis and Geometry 23 (3), 1-22, 2020
152020
Topological classification of insulators: I. Non-interacting spectrally-gapped one-dimensional systems
JH Chung, J Shapiro
Advances in Mathematics 480, 110486, 2025
102025
Is the continuum SSH model topological?
J Shapiro, MI Weinstein
Journal of Mathematical Physics 63 (11), 2022
102022
Incomplete localization for disordered chiral strips
J Shapiro
Journal of Mathematical Physics 64 (8), 2023
92023
The topology of mobility-gapped insulators
J Shapiro
Letters in Mathematical Physics 110 (10), 2703-2723, 2020
82020
Notes on" Topological Aspects in Condensed Matter Physics" following a course taught by GM Graf in the Fall semester of 2015
J Shapiro
5
Quantum tunneling and its absence in deep wells and strong magnetic fields
CL Fefferman, J Shapiro, MI Weinstein
Proceedings of the National Academy of Sciences 122 (8), e2420062122, 2025
32025
Topological Classification of Insulators: II. Quasi-Two-Dimensional Locality
JH Chung, J Shapiro
arXiv preprint arXiv:2406.05385, 2024
32024
Topology and localization: Mathematical aspects of electrons in strongly-disordered media
J Shapiro
ETH Zurich, 2018
32018
Lower Bounds on Quantum Tunneling for Excited States: CL Fefferman et al.
CL Fefferman, J Shapiro, MI Weinstein
The Journal of Geometric Analysis 35 (11), 357, 2025
22025
Magnetic Double-Wells: Absence of Tunneling
CL Fefferman, J Shapiro, MI Weinstein
arXiv preprint arXiv:2509.02857, 2025
12025
The index of a pair of pure states and the interacting integer quantum Hall effect
S Bachmann, J Shapiro, C Tauber
arXiv preprint arXiv:2507.10807, 2025
12025
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Articles 1–20