Dean Baskin
  • Associate Professor
Research Areas
  • Partial Differential Equations & Mathematical Physics

Biography

I am an associate professor in the math department at Texas A&M University. Before arriving here I was a Boas Assistant Professor at Northwestern University. I received my Ph.D from Stanford University in 2010. I was a student of Rafe Mazzeo and András Vasy. I am supported by NSF CAREER grant DMS-1654056.

Research Interests

  • Partial differential equations specifically in geometric microlocal analysis 
  • Wave-like equations on singular backgrounds

Selected Publications

    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. (to Appear).
      rfdc [50 pages] arXiv