PhD Research Programs

Advanced study of algebraic structures including groups, rings, fields, modules, and category theory.

Cutting-edge research in computational complexity, algorithm design, and theoretical computer science.

Research in quantum mechanics of solids, superconductivity, magnetism, and material properties.

Advanced statistical methods for economic analysis, time series, panel data, and causal inference.

Theoretical foundations of machine learning, statistical learning theory, and deep learning research.

Advanced research in gene expression, protein synthesis, cellular mechanisms, and molecular genetics.

Advanced research in organic chemical synthesis, reaction mechanisms, and molecular design.

Research in quantum algorithms, quantum error correction, and quantum information theory.

Advanced study of relativistic quantum mechanics, gauge theories, and particle physics.

Rigorous study of measure theory, functional analysis, and advanced real analysis.

Advanced study of topological spaces, algebraic topology, differential topology, and manifolds.