For accessibility reasons, the locally hosted documents here are not updated and are for archive purposes only. Going forward, only arXiv and journal links will be provided unless I can provide an accessible electronic version.

Preprints

  1. Baskin, D., Doll, M., & Gell-Redman, J. (2024). The Klein–Gordon equation on asymptotically Minkowski spacetimes: causal propagators.
    KGcausal [95 pages] arXiv
  2. Baskin, D., Doll, M., & Gell-Redman, J. (2025). The Klein–Gordon equation on asymptotically Minkowski spacetimes: the Feynman propagator.
    KGfeynman [42 pages] arXiv
  3. Baskin, D., Wrochna, M., & Wunsch, J. (2025). Singularities of Dirac–Coulomb propagators.
    dirac-coulomb-qft [27 pages] arXiv

Published papers

  1. Baskin, D. (2010). A parametrix for the fundamental solution for the Klein-Gordon equation on asymptotically de Sitter spaces. J. Funct. Anal., 259(7), 1673–1719.
    pkgeads [40 pages] Journal arXiv
  2. Baskin, D. (2010). A Strichartz estimate for de Sitter space. In The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis (Vol. 44, pp. 97–104). Austral. Nat. Univ., Canberra.
    desitter [10 pages] Journal arXiv
  3. Baskin, D. (2013). Strichartz estimates on asymptotically de Sitter spaces. Ann. Henri Poincaré, 14(2), 221–252.
    slwads [36 pages] Journal arXiv
  4. Baskin, D., & Sá Barreto, A. (2015). Radiation fields for semilinear wave equations. Trans. Amer. Math. Soc., 367(6), 3873–3900.
    rfslw [23 pages] Journal arXiv
  5. Baskin, D., & Wunsch, J. (2013). Resolvent estimates and local decay of waves on conic manifolds. J. Differential Geom., 95(2), 183–214.
    conedecay [31 pages] Journal arXiv
  6. Baskin, D. (2014). Equipartition of energy in geometric scattering theory. J. Anal. Math., 123, 341–353.
    eegst [11 pages] Journal arXiv
  7. Baskin, D., Marzuola, J. L., & Wunsch, J. (2014). Strichartz estimates on exterior polygonal domains. In Geometric and spectral analysis (Vol. 630, pp. 291–306). Amer. Math. Soc., Providence, RI.
    strichartz-polygon [16 pages] Journal arXiv
  8. Baskin, D., Vasy, A., & Wunsch, J. (2015). Asymptotics of radiation fields in asymptotically Minkowski space. Amer. J. Math., 137(5), 1293–1364.
    radfielddecay [67 pages] Journal arXiv
  9. Baskin, D., & Wang, F. (2014). Radiation fields on Schwarzschild spacetime. Comm. Math. Phys., 331(2), 477–506.
    rfss [33 pages] Journal arXiv
  10. Baskin, D., Spence, E. A., & Wunsch, J. (2016). Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. SIAM J. Math. Anal., 48(1), 229–267.
    bsw [42 pages] Journal arXiv
  11. Baskin, D., Vasy, A., & Wunsch, J. (2018). Asymptotics of scalar waves on long-range asymptotically Minkowski spaces. Adv. Math., 328, 160–216.
    lr-radfield [51 pages] Journal arXiv
  12. Baskin, D., & Marzuola, J. L. (2019). Locating the resonances on hyperbolic cones. Math. Res. Lett., 26(2), 365–381.
    resonances [11 pages] Journal arXiv
  13. Baskin, D., & Yang, M. (2020). Scattering resonances on truncated cones. Pure Appl. Anal., 2(2), 385–396.
    rescone [11 pages] Journal arXiv
  14. Baskin, D., Gell-Redman, J., & Han, X. (2023). Riemann moduli spaces are quantum ergodic. J. Diff. Geom., 123(3), 391–410.
    QEmoduli [15 pages] Journal arXiv
  15. Baskin, D., & Marzuola, J. L. (2022). The radiation field on product cones. Adv. Math., 408, 108589.
    rfcone [46 pages] Journal arXiv
  16. Baskin, D., & Wunsch, J. (2023). Diffraction for the Dirac–Coulomb propagator. Ann. Henri Poincaré, 24, 2607–2659.
    dirac-coulomb [51 pages] Journal arXiv
  17. Baskin, D., Booth, R., & Gell-Redman, J. (2023). Asymptotics of the radiation field for the massless Dirac–Coulomb system. J. Funct. Anal., 285(9), 110107.
    rfdc [62 pages] arXiv
  18. Baskin, D., Gell-Redman, J., & Marzuola, J. L. (2025). Price’s law for the massless Dirac–Coulomb system. Pacific J. Math., 335(2), 211–227.
    plinvsq [14 pages] arXiv

Expository papers

  1. Baskin, D., & Mazzeo, R. (2013). Some global aspects of linear wave equations. In Evolution equations (Vol. 17, pp. 73–95). Amer. Math. Soc., Providence, RI.
    clay-survey [31 pages] Journal arXiv
  2. Baskin, D., & Sá Barreto, A. (2013). A support theorem for a nonlinear radiation field. In Microlocal methods in mathematical physics and global analysis (pp. 111–112). Birkhäuser/Springer, Basel.
  3. Baskin, D. (2017). An explicit description of the radiation field in 3+1-dimensions. In T. Kakehi (Ed.), Spectral and scattering theory and related topics. Proceedings of a symposium held at the Research Iinstitute for Mathematical Sciences, Kyoto University, Kyoto, Japan, January 20–22, 2016 (Vol. 2023, pp. 40–49). Kyoto University.
    rims [10 pages] arXiv
  4. Baskin, D. (2021). "Mathematical Theory of Scattering Resonances" by S. Dyatlov and M. Zworski. Bull. Amer. Math. Soc., 58(3), 475–477.
    DZbook [3 pages]
  5. Baskin, D., & Datchev, K. (2024). Propagation of singularities for the wave equation. In D. R. Wood, J. de Gier, & C. E. Praeger (Eds.), 2021–2022 MATRIX Annals (pp. 275–286). Springer Cham.
    propsing [9 pages] arXiv

Collaborators