Jacob Shapiro

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Edge spectrum for truncated $\mathbb{Z}_2$-insulators	2025	Alexis Drouot Jacob Shapiro Xiaowen Zhu
+ PDF Chat	Quantum tunneling and its absence in deep wells and strong magnetic fields	2024	Charles Fefferman Jacob Shapiro Michael I. Weinstein
+ PDF Chat	Absolutely continuous spectrum for truncated topological insulators	2024	Alexis Drouot Jacob Shapiro Xiaowen Zhu
+	Chiral random band matrices at zero energy	2024	Jacob Shapiro
+	Dynamical Localization for Random Band Matrices Up to $$W\ll N^{1/4}$$	2024	Giorgio Cipolloni Ron Peled Jeffrey Schenker Jacob Shapiro
+	Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions	2023	Jesse Gell‐Redman Andrew Hassell Jacob Shapiro
+	Incomplete localization for disordered chiral strips	2023	Jacob Shapiro
+	Chiral Random Band Matrices at Zero Energy	2023	Jacob Shapiro
+ PDF Chat	Fredholm Homotopies for Strongly-Disordered 2D Insulators	2022	Alex Bols Jeffrey Schenker Jacob Shapiro
+ PDF Chat	Is the continuum SSH model topological?	2022	Jacob Shapiro Michael I. Weinstein
+ PDF Chat	Tight-binding reduction and topological equivalence in strong magnetic fields	2022	Jacob Shapiro Michael I. Weinstein
+ PDF Chat	Lower Bound on Quantum Tunneling for Strong Magnetic Fields	2022	Charles Fefferman Jacob Shapiro Michael I. Weinstein
+	Depinning in the integer-valued Gaussian Field and the BKT phase of the 2D Villain model	2021	Michael Aizenman Matan Harel Ron Peled Jacob Shapiro
+	Incomplete Localization for Disordered Chiral Strips	2021	Jacob Shapiro
+ PDF Chat	Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory	2020	Eli Fonseca Jacob Shapiro Ahmed Sheta Angela Wang Kohtaro Yamakawa
+ PDF Chat	The topology of mobility-gapped insulators	2020	Jacob Shapiro
+ PDF Chat	Existence and Asymptotics of Nonlinear Helmholtz Eigenfunctions	2020	Jesse Gell‐Redman Andrew Hassell Jacob Shapiro Junyong Zhang
+ PDF Chat	The bulk-edge correspondence in three simple cases	2019	Jacob Shapiro
+ PDF Chat	Strongly Disordered Floquet Topological Systems	2019	Jacob Shapiro Clément Tauber
+	Existence and asymptotics of nonlinear Helmholtz eigenfunctions	2019	Jesse Gell‐Redman Andrew Hassell Jacob Shapiro Junyong Zhang
+	The Topology of Mobility-Gapped Insulators.	2018	Jacob Shapiro
+ PDF Chat	The Bulk-Edge Correspondence for Disordered Chiral Chains	2018	Gian Michele Graf Jacob Shapiro

Common Coauthors

Coauthor	Papers Together
Michael I. Weinstein	4
Jesse Gell‐Redman	3
Andrew Hassell	3
Jeffrey Schenker	2
Alexis Drouot	2
Ron Peled	2
Xiaowen Zhu	2
Junyong Zhang	2
Charles Fefferman	2
Michael Aizenman	1
Angela Wang	1
Eli Fonseca	1
Clément Tauber	1
Matan Harel	1
Ahmed Sheta	1
Alex Bols	1
Gian Michele Graf	1
Giorgio Cipolloni	1
Kohtaro Yamakawa	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Bulk-Edge Correspondence for Disordered Chiral Chains	2018	Gian Michele Graf Jacob Shapiro	9
+ PDF Chat	Equality of the Bulk and Edge Hall Conductances in a Mobility Gap	2005	Alexander Elgart Gian Michele Graf Jeffrey Schenker	9
+ PDF Chat	<i>Colloquium</i>: Topological insulators	2010	M. Zahid Hasan C. L. Kane	8
+ PDF Chat	Equality of bulk and edge Hall conductance revisited	2002	P. Elbau Gian Michele Graf	8
+ PDF Chat	Strongly Disordered Floquet Topological Systems	2019	Jacob Shapiro Clément Tauber	7
+ PDF Chat	Localization bounds for an electron gas	1998	Michael Aizenman Gian Michele Graf	7
+ PDF Chat	Classification of topological insulators and superconductors in three spatial dimensions	2008	Andreas P. Schnyder Shinsei Ryu Akira Furusaki Andreas W. W. Ludwig	6
+ PDF Chat	The noncommutative geometry of the quantum Hall effect	1994	Jean Bellissard A. van Elst H. Schulz- Baldes	6
+	Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics	2016	Emil Prodan Hermann Schulz‐Baldes	6
+ PDF Chat	Periodic table for topological insulators and superconductors	2009	Alexei Kitaev Vladimir Lebedev M. V. Feigel’man	6
+ PDF Chat	Topological insulators and superconductors: tenfold way and dimensional hierarchy	2010	Shinsei Ryu Andreas P. Schnyder Akira Furusaki Andreas W. W. Ludwig	5
+	Random Operators	2015	Michael Aizenman Simone Warzel	5
+	Topology and analysis : the Atiyah-Singer index formula and gauge-theoretic physics	1985	Bernhelm Booß–Bavnbek David Bleecker A. Mader	4
+ PDF Chat	Bulk-Edge Correspondence for Two-Dimensional Topological Insulators	2013	Gian Michele Graf Marcello Porta	4
+ PDF Chat	Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures	1997	Alexander Altland Martin R. Zirnbauer	4
+	Anderson localization and the space-time characteristic of continuum states	1994	Gian Michele Graf	4
+ PDF Chat	Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization	1996	Rafael del Río Svetlana Jitomirskaya Yoram Last Barry Simon	4
+ PDF Chat	The K-Theoretic Bulk–Edge Correspondence for Topological Insulators	2017	Chris Bourne Johannes Kellendonk Adam Rennie	4
+	Non-commutative odd Chern numbers and topological phases of disordered chiral systems	2016	Emil Prodan Hermann Schulz‐Baldes	4
+ PDF Chat	Anderson localization for Bernoulli and other singular potentials	1987	René Carmona Abel Klein Fabio Martinelli	3
+ PDF Chat	Dynamical delocalization in random Landau Hamiltonians	2007	François Germinet Abel Klein Jeffrey Schenker	3
+ PDF Chat	$\Bbb Z_{2}$-indices and factorization properties of odd symmetric Fredholm operators	2015	Hermann Schulz‐Baldes	3
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Topological Order and the Quantum Spin Hall Effect	2005	C. L. Kane E. J. Melé	3
+ PDF Chat	Finite-Volume Fractional-Moment Criteria¶for Anderson Localization	2001	Michael Aizenman Jeffrey Schenker R. Friedrich Dirk Hundertmark	3
+ PDF Chat	Eigenvector Localization for Random Band Matrices with Power Law Band Width	2009	Jeffrey Schenker	3
+	Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)	2013	András Vasy	3
+	Localization at large disorder and at extreme energies: An elementary derivations	1993	Michael Aizenman Stanislav Molchanov	3
+ PDF Chat	The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors	2018	Hosho Katsura Tohru Koma	3
+ PDF Chat	Bulk–Edge Correspondence for Two-Dimensional Floquet Topological Insulators	2018	Gian Michele Graf Clément Tauber	3
+	Honeycomb Schrödinger Operators in the Strong Binding Regime	2017	Charles Fefferman James Lee-Thorp Michael I. Weinstein	3
+ PDF Chat	Tight-binding reduction and topological equivalence in strong magnetic fields	2022	Jacob Shapiro Michael I. Weinstein	3
+ PDF Chat	Simultaneous quantization of edge and bulk Hall conductivity	1999	Hermann Schulz‐Baldes Johannes Kellendonk T. Richter	3
+ PDF Chat	Sur le spectre des opérateurs aux différences finies aléatoires	1980	Hervé Kunz Bernard Souillard	3
+ PDF Chat	Topological insulators with inversion symmetry	2007	Liang Fu C. L. Kane	3
+	Spectral and scattering theory for symbolic potentials of order zero	2003	Andrew Hassell Richard Melrose András Vasy	3
+	K-Theory for Topological Solid State Systems	2016	Emil Prodan Hermann Schulz‐Baldes	3
+	CYCLIC VECTORS IN THE ANDERSON MODEL	1994	Barry Simon	3
+ PDF Chat	Charge deficiency, charge transport and comparison of dimensions	1994	J. E. Avron R. Seiler Barry Simon	3
+	The Index of a Pair of Projections	1994	J. E. Avron R. Seiler Barry Simon	2
+ PDF Chat	Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder	2014	Ian Mondragon-Shem Taylor L. Hughes Juntao Song Emil Prodan	2
+ PDF Chat	On the Second Mixed Moment of the Characteristic Polynomials of 1D Band Matrices	2014	Tatyana Shcherbina	2
+ PDF Chat	Controlled Topological Phases and Bulk-edge Correspondence	2016	Yosuke Kubota	2
+ PDF Chat	Higher dimensional vortex standing waves for nonlinear Schrödinger equations	2015	Jeremy L. Marzuola Michael E. Taylor	2
+ PDF Chat	Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells	2006	B. Andrei Bernevig Taylor L. Hughes Shou-Cheng Zhang	2
+	Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators	1973	J. M. Combes Lawrence E. Thomas	2
+	Nonlinear scalar field equations, II existence of infinitely many solutions	1983	Henri Berestycki Pierre‐Louis Lions	2
+	Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators	1987	Carlos E. Kenig Alberto Ruiz Christopher D. Sogge	2
+	Gaussian decay of the magnetic eigenfunctions	1996	László Erdős	2
+ PDF Chat	Anyons in an exactly solved model and beyond	2006	Alexei Kitaev	2
+	Z_2 indices and factorization properties of odd symmetric Fredholm operators	2013	Hermann Schulz‐Baldes	2