Claire Valva

Beginning in September 2025, I will be a postdoc at Caltech in the department of Computing + Mathematical Sciences working with Andrew Stuart. I received my PhD in May 2025 from the Center for Atmosphere and Ocean Science at the Courant Institute of Mathematical Sciences where I was advised by Dimitris Giannakis and Ed Gerber.

I am interested in the development and characterization of data-driven methods — particularly those using the formalism of dynamical systems — and applications of these methods to make disciplinary contributions to (geophysical) fluid dynamics and atmosphere-ocean science. During my PhD, I developed data-driven methods for consistent spectral approximations of Koopman operators and used these methods to study oscillations in the climate system.

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