Anna Oleynik's main research interests are mathematical modelling, dynamical systems, optimization, and marine monitoring. She has a long experience in mathematical analysis of neural field models, and a more recent interest in inverse problems, optimization methods, numerical analysis and simulations. 

Anna has been working with offshore monitoring for CCS, as a part of the Academia agreement project AMOFF (Assurance Monitoring for Offshore CO2 storage sites) and the ACTOM  (ACT on Off-shore Monitoring) project.  She is a member of NAMC (North Atlantic Microplastic Centre) modelling team working on predicting microplastic distribution and localizing plastic aggregation zones, based on numerical models and simulations. She also collaborates with SFI CRIMAC on developing machine learning methods for target classification in fisheries acoustic, and takes part in MATH4SDG (Mathematics for Sustainable Development) project.