Ilias Bilionis

Postdoctoral Appointee

Ilias Bilionis was a teaching assistant and research assistant at Cornell University before receiving his Ph.D. in applied mathematics from Cornell University, with a thesis on "Bayesian Methods for Uncertainty Quantification."

Research Interests

  • Fundamental problems of uncertainty quantification, Bayesian inversion, and coarse-graining involving multiscale, multiphysics systems
  • Development of rigorous mathematical techniques that can make nonintrusive use of existing simulators and quantify the epistemic uncertainty introduced by the necessarily very limited number of observations
  • Applications ranging from flow through heterogeneous random porous media, seismic inversion to coarse-graining molecular systems such as proteins, and effective energetic descriptions of alloy systems based on electronic structure calculations

Projects