Claire Valva

I am a PhD student at the Center for Atmosphere and Ocean Science at the Courant Institute of Mathematical Sciences. I am advised by Dimitris Giannakis and Ed Gerber, and am supported by the NSF GRFP. I am interested in a wide range of problems that include (geophysical) fluid dynamics, climate and atmospheric dynamics, dynamical systems, and numerical (and spectral) analysis of nonlinear systems.

The primary theme of my graduate research is to develop data-driven methods — specifically those using the formalism of dynamical systems — to understand turbulent fluid flows and large-scale flow in the atmosphere and ocean. In particular, I am currently thinking about improving data-driven approximations of Koopman operators and how we can apply these methods (and similar) to physical systems.

Recent Work

  • Physics-informed spectral approximation of Koopman operators with Dimitris Giannakis, arXiv:2408.05663
  • The QBO, the annual cycle, and their interactions: Isolating periodic modes with Koopman analysis with Edwin P Gerber, arXiv:2407.17422
  • Consistent spectral approximation of Koopman operators using resolvent compactification with Dimitris Giannakis, paper
  • Koopman analysis of the periodic Korteweg–de Vries equation with Jeremy Parker, paper.
  • What Controls the Probability Distribution of Local Wave Activity in the Midlatitudes? with Noboru Nakamura, paper.

    • CV   Google Scholar   GitHub  ORCID
     
    Warren Weaver Hall
    Courant Institute of Mathematical Sciences, New York University

    clairev (at) nyu.edu