Papers and Preprints:
Pure and Applied Analysis, 2.2 (2020): 385-396.
Propagation of polyhomogeneity, diffraction and scattering on product cones.
Journal of Spectral Theory, 12.2 (2022): 381-415.
Diffraction of the Aharonov-Bohm Hamiltonian.
Annales Henri Poincaré, 22.11 (2021): 3619-3640
The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials.
Communications in Mathematical Physics, 389.2 (2022): 1099-1133.
Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications.
Communications in Mathematical Physics, 394.3 (2022): 1225-1246.
Flat bands and high Chern numbers in twisted multilayer graphene.
Journal of Mathematical Physics, 64.11 (2023): 111901.
Chiral limit of twisted trilayer graphene, with Simon Becker, Tristan Humbert, and Jens Wittsten.
Nonlinearity, 38.5 (2025): 055008.
The Morse index theorem for mechanical systems with reflections, with Jared Wunsch, and Yuzhou (Joey) Zou.
Nonlinearity, 37.8 (2024): 085006.
Appendix to Mathematical results on the chiral model of twisted bilayer graphene by Maciej Zworski, with Zhongkai Tao.
Journal of Spectral Theory, 14.3 (2024): 1063-1107.
Twisted TMDs in the small-angle limit: exponentially flat and trivial bands, with Simon Becker.
SIAM Journal on Applied Mathematics, 85.1 (2025): 27-49.
Dirac cones and magic angles in the Bistritzer--MacDonald TBG Hamiltonian, with Simon Becker, Solomon Quinn, Zhongkai Tao, and Alex Watson.
Probability and Mathematical Physics, under revision, 2025.
Low energy resolvent asymptotics of the multipole Aharonov-Bohm Hamiltonian, with Tanya Christiansen and Kiril Datchev.
SIAM Journal on Mathematical Analysis, 57.6 (2025): 6282-6299.
From resolvent expansions at zero to long time wave expansions, with Tanya Christiansen and Kiril Datchev.
Communications in Partial Differential Equations, 50.4 (2025): 477-492.
Fragile topology on solid grounds: a mathematical perspective, with Simon Becker and Zhongkai Tao.
arXiv preprint arXiv:2502.03442 (2025).
Wannier decay and the Thouless conjecture, with Simon Becker and Zhongkai Tao.
arXiv preprint arXiv:2505.01999 (2025).
Unconditional wave decay in dimension two, with Tanya Christiansen, Kiril Datchev, and Pedro Morales.
arXiv preprint arXiv:2507.03140 (2025).
Flat bands, Dirac cones, and higher-order band crossings in twisted multilayer graphene, with Bryan Li.
arXiv preprint arXiv:2508.02011 (2025).
A Gutzwiller trace formula for singular potentials, with Jared Wunsch, and Yuzhou (Joey) Zou.
arXiv preprint arXiv:2509.05220 (2025).
Logarithmic wave decay for short-range wavespeed perturbations with radial regularity, with Gayana Jayasinghe, Katrina Morgan, and Jacob Shapiro.
arXiv preprint arXiv:2509.08957 (2025).
In preparation:
Strichartz estimates for the Aharonov--Bohm Hamiltonian with multiple poles, with Junyong Zhang.
Zeta-determinant of the Aharonov--Bohm Hamiltonian on Riemann surfaces, with Luc Hillairet.
Concentration of kernel random matrices on manifolds and applications in deep learning, with Boris Hanin.
Other Publications:
PhD Thesis: Diffraction and scattering theory of the Aharonov--Bohm Hamiltonian, Northwestern University.