Joe Kraisler

Assistant Professor of Mathematics, Williams College

Research

My research lies at the intersection of partial differential equations, spectral theory, and mathematical physics. I study analytically tractable models of wave propagation and light–matter interaction, with particular interest in dispersion, localization, scattering, bound and edge states, and effective dynamics.

Publications

Journal articles and current preprints, listed in reverse chronological order.

Journal articles

  1. E. O. Hiltunen, J. Kraisler, J. C. Schotland, and M. I. Weinstein, Nonlocal Partial Differential Equations and Quantum Optics: Band Structure of Periodic Atomic Systems, SIAM Journal on Mathematical Analysis 58 (2026), 2506–2535. journalarXiv
  2. J. Kraisler, J. Schenker, and J. C. Schotland, Dynamic One-Photon Localization in a Discrete Model of Quantum Optics, SIAM Journal on Applied Mathematics 86 (2026), 776–790. journalarXiv
  3. J. Kraisler, A. Sagiv, and M. I. Weinstein, On the Time-Decay of Solutions Arising from Periodically Forced Dirac Hamiltonians, Journal of Differential Equations 440 (2025), 113449. journalarXiv
  4. J. Kraisler, A. Sagiv, and M. I. Weinstein, Dispersive Decay Estimates for Dirac Equations with a Domain Wall, SIAM Journal on Mathematical Analysis 56 (2024), 7194–7227. journalarXiv
  5. E. O. Hiltunen, J. Kraisler, J. C. Schotland, and M. I. Weinstein, Nonlocal Partial Differential Equations and Quantum Optics: Bound States and Resonances, SIAM Journal on Mathematical Analysis 56 (2024), 3802–3831. journalarXiv
  6. J. Kraisler and J. C. Schotland, Kinetic Equations for Two-Photon Light in Random Media, Journal of Mathematical Physics 64 (2023), 111903. journalarXiv
  7. J. Kraisler, W. Li, K. Ren, J. C. Schotland, and Y. Zhong, Transport Models for Wave Propagation in Scattering Media with Nonlinear Absorption, SIAM Journal on Applied Mathematics 83 (2023), 1677–1695. journalarXiv
  8. J. Kraisler and J. C. Schotland, Collective Spontaneous Emission and Kinetic Equations for One-Photon Light in Random Media, Journal of Mathematical Physics 63 (2022), 031901. journalarXiv
  9. J. G. Hoskins, J. Kraisler, and J. C. Schotland, Radiative Transport in Quasi-Homogeneous Random Media, Journal of the Optical Society of America A 35 (2018), 1855–1860. journal

Preprints

  1. J. Kraisler and J. Lee, Kinetic Equations for Real Scalar Fields Coupled to a Continuum of Atoms. arXiv

For talks, professional activities, and works in progress, see my curriculum vitae.