Papers and Preprints: 

1. 1. Scattering resonances on truncated cones, with Dean Baskin.

Pure and Applied Analysis, 2.2 (2020): 385-396.

1. 2. Propagation of polyhomogeneity, diffraction and scattering on product cones.
      Journal of Spectral Theory, 12.2 (2022): 381-415.

   3. Diffraction of the Aharonov-Bohm Hamiltonian.
      Annales Henri Poincaré, 22.11 (2021): 3619-3640

   4. The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials.
      Communications in Mathematical Physics, 389.2 (2022): 1099-1133. 

   5. Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications.
      Communications in Mathematical Physics, 394.3 (2022): 1225-1246.

   6. Flat bands and high Chern numbers in twisted multilayer graphene.
      Journal of Mathematical Physics, 64.11 (2023): 111901.

   7. Chiral limit of twisted trilayer graphene, with Simon Becker, Tristan Humbert, and Jens Wittsten.
      Nonlinearity, 38.5 (2025): 055008.

   8. The Morse index theorem for mechanical systems with reflections, with Jared Wunsch, and Yuzhou (Joey) Zou.
      Nonlinearity, 37.8 (2024): 085006. 

   9. 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.

   10. 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. 

   11. 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, to appear (2025).

   12. 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.  

   13. 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.

   14. Fragile topology on solid grounds: a mathematical perspective, with Simon Becker and Zhongkai Tao.
       arXiv preprint arXiv:2502.03442 (2025). 

   15. Wannier decay and the Thouless conjecture, with Simon Becker and Zhongkai Tao.
       International Mathematics Research Notices, under revision (2025).

   16. Unconditional wave decay in dimension two, with Tanya Christiansen, Kiril Datchev, and Pedro Morales.
       arXiv preprint arXiv:2507.03140 (2025). 

   17. Flat bands, Dirac cones, and higher-order band crossings in twisted multilayer graphene, with Bryan Li.
       arXiv preprint arXiv:2508.02011 (2025).

   18. A Gutzwiller trace formula for singular potentials, with Jared Wunsch, and Yuzhou (Joey) Zou.
       arXiv preprint arXiv:2509.05220 (2025).

   19. 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:

1. Strichartz estimates for the Aharonov--Bohm Hamiltonian with multiple poles, with Junyong Zhang. 

2. Zeta-determinant of the Aharonov--Bohm Hamiltonian on Riemann surfaces, with Luc Hillairet. 

3. Concentration of kernel random matrices on manifolds and applications in deep learning, with Boris Hanin.

Other Publications: 

1. PhD Thesis: Diffraction and scattering theory of the Aharonov--Bohm Hamiltonian, Northwestern University.

Collaborators:

Dean Baskin, Simon Becker, Tanya Christiansen, Kiril Datchev, Boris Hanin, Luc Hillairet, Tristan Humbert, Gayana Jayasinghe, Bryan Li, Pedro Morales, Katrina Morgan, Solomon Quinn, Jacob Shapiro, Zhongkai Tao, Alexander Watson, Jens Wittsten, Jared Wunsch, Junyong Zhang, Yuzhou (Joey) Zou, Maciej Zworski.