I am a second year graduate student at MIT. I am generally interested in microlocal analysis and PDEs. My advisor is Semyon Dyatlov.
My CV can be found here. My email is zhenhao at mit dot edu.
2D internal waves in an ergodic setting
Weyl laws for open quantum maps
to appear in Journal of Spectral Theory. (arXiv)
Uniqueness of excited states to $-\Delta u + u - u^3 = 0$ in three dimensions
with Alex Cohen and Wilhelm Schlag, to appear in Analysis & PDE. (arXiv, GitHub)
Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion
Discrete and Continuous Dynamical Systems-B, 26(2021), 6069-6090. (arXiv)
Certain hyperbolic regular polygonal tiles are isoperimetric
with Jack Hirsch, Jackson Petty, and Christopher Xue, Geometriae Dedicata, 214(2021), 65-77. (arXiv)
The optimal double bubble for density $r^p$
with Jack Hirsch, Jackson Petty, and Christopher Xue, Rose-Hulman Undergraduate Mathematics Journal, 22(2021). (arXiv)
Optimal monohedral tilings of hyperbolic surfaces
Leonardo Di Giosia, Jahangir Habib, Jack Hirsch, Lea Kenigsberg, Dylanger Pittman, Jackson Petty, Christopher Xue, Weitao Zhu, preprint. (arXiv)