Bill Cooperman

NSF Postdoctoral Fellow and Hermann-Weyl-Instructor
  at ETH Zürich
Email: bill@cprmn.org

I am interested in long-time or large-scale behavior of random or periodic objects. My work involves tools from probability, dynamical systems, and PDEs.

I'm on the job market this autumn. Here's my CV.

Upcoming talks

 

Research

  1. Exponentially mixing flows with slow enhanced dissipation
      with Gautam Iyer, Keefer Rowan, and Seungjae Son
  2. Residual diffusivity for expanding Bernoulli maps
      with Gautam Iyer and James Nolen
  3. Fourier mass lower bounds for Batchelor-regime passive scalars
      with Keefer Rowan
  4. Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing
      with Keefer Rowan
  5. A Harris theorem for enhanced dissipation, and an example of Pierrehumbert
      with Gautam Iyer and Seungjae Son, in Nonlinearity.
  6. Unique continuation on planar graphs
      with Ahmed Bou-Rabee and Shirshendu Ganguly, in Discrete Analysis
  7. Rigidity of harmonic functions on the supercritical percolation cluster
      with Ahmed Bou-Rabee and Paul Dario, in Transactions of the American Mathematical Society.
  8. Slow periodic homogenization for Hamilton-Jacobi equations
      in Communications in Partial Differential Equations.
  9. Exponential mixing by shear flows
      in SIAM Journal on Mathematical Analysis.
  10. On the random G equation with nonzero divergence
      in Calculus of Variations and PDE.
  11. Quantitative stochastic homogenization of the G equation
      in Probability Theory and Related Fields.
  12. A near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations
      in Archive for Rational Mechanics and Analysis.