Alexander B. Watson

William W. Elliott Assistant Research Professor
Mathematics Department, Duke University

Office: 224 Physics Building
Office hours (Spring 2019): Monday 9-11AM
Email: abwatson@math.duke.edu
CV

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 post-doc mentor at Duke is Jianfeng Lu.

Publications and preprints

  1. Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature (with J. Lu, M. I. Weinstein)
    Journal of Mathematical Physics 58 021503 (2017) [article, preprint]
  2. Wavepackets in inhomogeneous periodic media: Propagation through a one-dimensional band crossing (with M. I. Weinstein)
    Communications in Mathematical Physics 363 2 (2018) [article, preprint]
  3. Dirac operators and domain walls (with J. Lu, M. I. Weinstein)
    submitted [preprint]
  4. Computation of bound states of semi-infinite matrix Hamiltonians with applications to edge states of two-dimensional materials (with K. Thicke, J. Lu)
    in preparation [preprint]
  5. Propagation of edge modes in disordered topological insulators and the Clifford pseudospectrum index (with J. Michala, A. Pierson, T. Loring)
    in preparation
  6. Wavepackets in inhomogeneous periodic media: Propagation through a conical band crossing (with S. Venakides, M. I. Weinstein)
    in preparation

Talks

Other