The bulk-edge correspondence for disordered chiral chains GM Graf, J Shapiro
Communications in Mathematical Physics 363, 829-846, 2018
64 2018 Strongly disordered floquet topological systems J Shapiro, C Tauber
Annales Henri Poincaré 20, 1837-1875, 2019
40 2019 The bulk-edge correspondence in three simple cases J Shapiro
Reviews in Mathematical Physics 32 (03), 2030003, 2020
37 2020 Tight-binding reduction and topological equivalence in strong magnetic fields J Shapiro, MI Weinstein
Advances in Mathematics 403, 108343, 2022
22 2022 Semiclassical resolvent bound for compactly supporte J Shapiro
Journal of Spectral Theory 10 (2), 651-672, 2020
19 2020 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
18 2022 Fredholm homotopies for strongly-disordered 2D insulators A Bols, J Schenker, J Shapiro
Communications in Mathematical Physics 397 (3), 1163-1190, 2023
16 2023 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
15 2020 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
13 2021 Dynamical Localization for Random Band Matrices Up to G Cipolloni, R Peled, J Schenker, J Shapiro
Communications in Mathematical Physics 405 (3), 82, 2024
11 2024 Semiclassical resolvent bounds for long-range Lipschitz potentials J Galkowski, J Shapiro
International Mathematics Research Notices 2022 (18), 14134-14150, 2022
9 2022 Semiclassical resolvent bounds for compactly supported radial potentials K Datchev, J Galkowski, J Shapiro
Journal of Functional Analysis 284 (7), 109835, 2023
8 2023 The topology of mobility-gapped insulators J Shapiro
Letters in Mathematical Physics 110 (10), 2703-2723, 2020
8 2020 Incomplete localization for disordered chiral strips J Shapiro
Journal of Mathematical Physics 64 (8), 2023
7 2023 Is the continuum SSH model topological? J Shapiro, MI Weinstein
Journal of Mathematical Physics 63 (11), 2022
6 2022 Topological Classification of Insulators: I. Non-interacting Spectrally-Gapped One-Dimensional Systems JH Chung, J Shapiro
arXiv preprint arXiv:2306.00268, 2023
5 2023 Notes on" Topological Aspects in Condensed Matter Physics" following a course taught by GM Graf in the Fall semester of 2015 J Shapiro
5 Semiclassical resolvent bounds for short range L∞ potentials with singularities at the origin J Shapiro
Asymptotic Analysis, 1-24, 2024
3 2024 Topology and localization: Mathematical aspects of electrons in strongly-disordered media J Shapiro
ETH Zurich, 2018
3 2018 Exponential time‐decay for a one‐dimensional wave equation with coefficients of bounded variation K Datchev, J Shapiro
Mathematische Nachrichten 296 (11), 4978-4994, 2023
2 2023 
Michael I WeinsteinColumbia UniversityAdresse e-mail validée de columbia.edu
