(With Jacob Shapiro and Xiaowen Zhu) Edge spectrum for truncated Z_2-insulators. Submitted (2025)
(With Curtiss Lyman) Band spectrum singularities for Schrödinger operators. Submitted (2024).
(With Jacob Shapiro and Xiaowen Zhu) Absolutely continuous spectrum for truncated topological insulators. Submitted (2024).
(With Xiaowen Zhu) The bulk-edge correspondence for curved interfaces. Submitted (2024).
(With Xiaowen Zhu) Topological edge spectrum along curved interfaces. International Research Mathematical Notices 22(2024).
(With G. Bal and S. Becker) Magnetic slowdown of topological edge states. Communications in Pure and Applied Mathematics 77(2), 2024.
(With G. Bal, S. Becker, C. Fermanian-Kamerrer, J. Lu and A. Watson) Edge state dynamics along curved interfaces. SIAM Math. Analysis 55(2023).
Topological insulators in semiclassical regime. Submitted (2022).
Ubiquity of conical points in topological insulators. Journal de l’École polytechnique—Mathématiques 8(2021), 507-532
Microlocal analysis of the bulk edge correspondence. Communications in Mathematical Physics 383(2021), 2069-2112
The bulk-edge correspondence for continuous dislocated systems. Annales de l'Institut Fourier, 71(2021), 1185-1239.
(With M. Weinstein) Edge states and the Valley Hall Effect. Advances in Mathematics 368(2020), 107142.
(With C. Fefferman and M. Weinstein) Defect states for dislocated periodic media. Comm. Math. Physics 377(2020), 3, 1637-1680.
The bulk-edge correspondence for continuous honeycomb lattices. Communications in PDEs 44(2019), 1406–1430.
Characterization of edge states in perturbed honeycomb structures. Pure and Applied Analysis 1(2019), 385–445.
Resonances for random highly oscillatory potentials. Journal of Mathematical Physics 59(2018), 101506, 34 pp.
Scattering resonances for highly oscillatory potentials. Annales Scientifiques de l'Ecole Normale Supérieure (4) 51(2018), no. 4, 865–925.
Bound states for rapidly oscillatory Schrödinger operators in dimension 2. SIAM Journal of Mathematical Analysis 50(2018), 1471–1484.
Pollicott-Ruelle resonances via kinetic Brownian motion. Communications in Mathematical Physics 356(2017), No. 2, 357–396.
A quantitative version of Hawking radiation. Annales Henri Poincaré 18(2017), No. 3, 757–806.
Quantitative form of certain k-plane transform inequalities. Journal of Functional Analysis 268(2015), No. 5, 1241–1276.
Existence and non-existence of extremizers for certain k-plane transform inequalities. Preprint (2014).
Best constant for a k-plane transform inequality. Analysis and PDE 7(2014), No. 6, 1237–1252.
(With M. Zworski) A quantitative version of the Catlin-D'Angelo-Quillen theorem. Analysis and Mathematical Physics 3(2013), No. 1, 1–19.