Boccaletti develops and exploits high-contrast coronagraphic imaging instrumentation for direct detection and characterization of exoplanets and circumstellar debris disks, including the four-quadrant phase-mask coronagraph built at Observatoire de Paris-PSL now flying on JWST's MIRI instrument, which recently resolved the inner dust belt and all four planets of the HR 8799 system in the mid-infrared.
Lagrange is a leading figure in direct-imaging exoplanet science, using the VLT/SPHERE extreme-adaptive-optics coronagraph (which she helped design and exploit) to detect and characterize young giant planets around nearby stars, most notably the beta Pictoris planetary system, and to study debris-disk and planet-formation signatures such as non-common-path aberration correction algorithms for next-generation direct-imaging instruments.