Development of numerical tools for astrophysics research; gravitational N-body integration; smoothed-particle hydrodynamics; deployment on high-performance computing infrastructures; large-scale data analysis.
Simulation and analysis of planetary systems and their orbital dynamics; late-stage planet formation with N-body simulations; secular evolution and apsidal behavior of known multi-planet systems.
Development of physics-aware machine learning algorithms; physical constraint and conservation law encoding; model interpretability; emulation.
The origin and evolution of terrestrial planetary systems; formation of Earth-like planets and their satellites; pairwise collision modeling for N-body simulations; formation of the Moon through a giant impact.
Detection of suspicious events in financial datasets; digital forensics for text-based datasets; anomaly detection with natural language processing (NLP) and semantic analysis.
Large-scale data analysis; time-series analysis; seasonality detection and modeling; statistics; classification; clustering; dataset meta-analysis; feature engineering and selection.