Homogenous Dynamics, Diophantine Approximation, Translation Surfaces
Automorphic Representations
Theoretical Physics, Mathematic Physics, Quantum Gravity, Gauge/Gravity Duality and Quantum Entanglement.
High-dimensional data analysis, cluster analysis, distributed learning and mediation analysis
Automorphic forms
Medical image analysis, interpretable artificial intelligence
Geometry, topology, hyperbolic geometry
Causal inference, semiparametric model, model averaging, model selection
Scientific machine learning, preconditioning, wave propagation