Conny's research covers stellar astrophysics, including stellar structure & evolution and variable stars. She is a pioneer of asteroseismology, which received a major boost thanks to the CoRoT (2006+), Kepler (2009+), and TESS (2018+) space missions. Prior to high-precision space photometry, Conny developed rigorous mathematical methods to detect and identify non-radial stellar oscillations in high-resolution time-series spectroscopy. Her team also designed and applied statistical classification methods in a machine-learning context, discoving numerous gravity-mode pulsators in space photometry. As Chair in Asteroseismology at the Radboud University Nijmegen, Conny introduced herself into the topic of subdwarf stars, their binarity and pulsations, with current focus on development and exploitation of BlackGEM in tandem with gravitational wave studies.

In 2008, Conny was awarded an ERC Advanced Grant, PROSPERITY to exploit CoRoT and Kepler space photometry. Her PhD students made major contributions, such as the discovery of non-radial pulsation modes, of dipole mixed modes, and of non-rigid rotation in red giants, following her own detections of internal mixing and rotation in massive stars. The ERC offered her a 2nd AdG, MAMSIE (Mixing and Angular Momentum tranSport in massIvE Stars, 2016-2021) to bridge stellar physics, asteroseismology, and 3D simulations in order to quantify limitations in stellar evolution theory. This culminated in the 2012 Francqui Prize and the 2020 5-year FWO Excellence Award, also termed Belgian and Flemish Nobel Prizes, where Conny was the first woman to receive these prestigious awards in Science & Technology since their creation in 1933 and 1960, respectively. Conny is the 2022 receipt of the Kavli prize in Astrophysics and acts as corresponding Principle Investigator of the 2022 ERC Synergy grant 4D-STAR.

Conny supervised ~100 Master & PhD students and externally recruited postdocs. She took part as expert in tens of PhD examination committees, has been teaching various courses in the Master Astronomy & Astrophysics at Leuven & Nijmegen universities, and gave training on gender-related, mentor-mentee and science communication & outreach topics. Conny served on numerous international committees and boards. She is curently heavily involved in the ESA space mission PLATO (2026+) as Belgian PI.