Publications

(With Xiaowen Zhu) Topological edge spectrum along curved interfaces, Submitted (2023)

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. 

Topological insulators in semiclassical regime. Submitted, 2022 

(With G. Bal and S. Becker) Magnetic slowdown of topological edge states. Communications in Pure and Applied Mathematics, to appear.   

(With G. Bal, S. Becker, C. Fermanian-Kamerrer, J. Lu and A. Watson) Edge state dynamics along curved interfaces. SIAM Math. Analysis 55(2023)

The bulk-edge correspondence for continuous honeycomb lattices. Communications in PDEs 44(2019), 1406–1430. 

(With M. Weinstein) Edge states and the Valley Hall Effect. Advances in Mathematics 368(2020), 107142.

Characterization of edge states in perturbed honeycomb structures. Pure and Applied Analysis 1(2019), 385–445. 

(With C. Fefferman and M. Weinstein) Defect states for dislocated periodic media. Comm. Math. Physics 377(2020), 3, 1637-1680.

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. 

(With M. Zworski) A quantitative version of the Catlin-D'Angelo-Quillen theorem. Analysis and Mathematical Physics 3(2013), No. 1, 1–19. 

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. 

Best constant for a k-plane transform inequality. Analysis and PDE 7(2014), No. 6, 1237–1252.