Alexander B. Watson
I am an applied mathematician interested in partial differential equations, mathematical physics and numerical analysis. My research has focused on problems arising in condensed matter physics and photonics. My postdoc mentor at Duke is Jianfeng Lu.
Publications and preprints

Wavepackets in inhomogeneous periodic media: Effective particlefield dynamics and Berry curvature (with J. Lu, M. I. Weinstein)
Journal of Mathematical Physics 58 021503 (2017) [article, preprint]

Wavepackets in inhomogeneous periodic media: Propagation through a onedimensional band crossing (with M. I. Weinstein)
Communications in Mathematical Physics 363 2 (2018) [article, preprint]

Dirac operators and domain walls (with J. Lu, M. I. Weinstein)
submitted [preprint]

Computation of bound states of semiinfinite matrix Hamiltonians with applications to edge states of twodimensional materials (with K. Thicke, J. Lu)
in preparation [preprint]

Propagation of edge modes in disordered topological insulators and the Clifford pseudospectrum index (with J. Michala, A. Pierson, T. Loring)
in preparation

Wavepackets in inhomogeneous periodic media: Propagation through a conical band crossing (with S. Venakides, M. I. Weinstein)
in preparation
Talks
Other