Postdoctoral Fellow, School of Physics, Georgia Institute of Technology
I am a theoretical physicist working in condensed matter physics and statistical mechanics. My research uses ideas from symmetry, geometry, topology to study condensed matter physics and statistical mechanics.
I am currently a postdoctoral fellow at Georgia Tech, advised by Zeb D. Rocklin. I received my Ph.D. in Physics from the University of Michigan, Ann Arbor, advised by Xiaoming Mao and Kai Sun, and also received an M.S. in Mathematics and an M.S. in Physics from Michigan. Before that, I earned a B.S. with Honors in Physics from Fudan University.
School of Physics. Advisor: Zeb D. Rocklin.
Advisors: Xiaoming Mao and Kai Sun.
GPA 3.72/4.00; ranking 4/103.
Hyperbolic lattices have nonabelian translation groups and high-dimensional irreducible representations. My work generalizes Bloch-type band theory to infinite hyperbolic lattices and studies boundary modes, degeneracy, and mode counting in non-Euclidean crystals.
Non-Hermitian spectra and eigenstates can be extremely sensitive to boundary conditions. I introduced universal constraints from spectral moments and applied them to bulk dynamical phases in non-Hermitian systems.
I study how geometric frustration can guide self-limited assembly. One example is an analytic theory of frustrated self-assembly of icosahedral nanoparticles based on the hyperbolic crystal {3,5,3}.
In passive linear elastic media with vanishing bulk modulus, spin-momentum locking of Rayleigh waves can yield one-way edge states below all bulk bands, protected by a topological winding number.
This collaboration studies the control and generation of mechanical kinks through acoustic waves, connecting nonlinear mechanical excitations with wave-based actuation in metamaterials.
Ongoing and under-review projects study disorder-induced polarization, soliton teleportation, broad-band wave isolation, and boundary-mode proliferation in mechanical and hyperbolic systems.
These notes were written for study, teaching, and explaining mathematical or physical ideas from a geometric or algebraic point of view.
A note on group theory, emphasizing concepts in group representation theory and their applications in solid state physics.
This note introduces Berry phase from the viewpoint of tangent spaces, differential forms, vector bundles, covariant derivatives, curvature, and holonomy. It explains Berry connection, Berry curvature, Berry phase, and Chern numbers geometrically.
This note derives the familiar Lagrangian for linear elasticity from homogeneity, isotropy, translations, and rotations, and then derives the constitutive relation between strain and stress.
This note explains symmetry operations in quantum mechanics, unitary and anti-unitary operators, spatial symmetry, time reversal symmetry, basic representation theory, spin, SO(3), and SU(2).
This note introduces ADM mass, momentum, and angular momentum for asymptotically flat spacetime.
Fall 2019, Spring 2020, Fall 2020, Spring 2021.