Scott Andrew Smith

  Associate Professor (Tenure-Track)
  Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences
  Institute of Applied Mathematics
  Email: ssmith@amss.ac.cn

Bio

Since Fall 2021, I'm an associate professor (tenure-track) at the Academy of Mathematics and Systems Sciences within the Chinese Academy of Sciences in Beijing, China.

Previously, I held postdoctoral positions at the Max Planck Institute for Mathematics in the Sciences and University of Wisconsin-Madison. I received my Phd in Mathematics from University of Maryland in 2016.

Research

I enjoy exploring different aspects of stochastic analysis. I've worked on a variety of different problems, most within the field of stochastic partial differential equations (SPDE).

  • A new derivation of the finite N master loop equation for lattice Yang-Mills (with Hao Shen, Rongchan Zhu)
      Preprint (2022)

  • Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions (with Matias Delgadino, Rishabh S. Gvalani, Grigorios A. Pavliotis)
      to appear in Communications in Mathematical Physics

  • A priori bounds for quasi-linear SPDEs in the full sub-critical regime (with Felix Otto, Jonas Sauer, Hendrik Weber)
      Preprint (2021)

  • Large N limit of the O(N) linear sigma model via stochastic quantization (with Hao Shen, Rongchan Zhu, Xiangchan Zhu)
      Annals of Probability (2022)

  • Parabolic equations with rough coefficients and singular forcing (with Felix Otto, Jonas Sauer, and Hendrik Weber)
      Arxiv (2018)

  • Stochastic continuity equations with conservative noise (with Benjamin Gess)
      Journal de Mathematiques Pures et Appliquees (2019)

  • On the Boltzmann equation with stochastic kinetic transport: global existence of renormalized martingale solutions (with Sam Punshon-Smith)
      Archive for Rational Mechanics and Analysis (2019)

  • Holder estimates for fractional parabolic equations with critical divergence free drifts (with Matias Delgadino)
     Annales de l'Institute Henri Poincare C, Analyse non lineaire (2018)

  • The stochastic Navier-Stokes equations for heat-conducting, compressible fluids: global existence of weak solutions (with Konstantina Trivisa)
      Journal of Evolution Equations (2018)

  • Random perturbations of viscous, compressible fluids: global existence of weak solutions
      SIAM Journal of Mathematical Analysis (2017)