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Mathematical Physics

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Mathematical Physics

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Research Frontiers in Quantum Anomalies Index Theorem

Investigates quantum anomalies through heat kernel methods and applications of the Atiyah-Singer index theorem.

Topological Defects and Spectral Flow in Gauge Theories
Chiral Anomalies Beyond the Standard Model Framework
Index Theory at the Quantum-Classical Boundary
Anomalous Hall Effects in Curved Spacetime Geometries
Heat Kernel Methods and Emergent Quantum Symmetries
Gravitational Anomalies in Higher-Dimensional Compactifications
Atiyah-Singer Index on Non-Commutative Manifolds
Anomaly Matching in Supersymmetric Field Theories
Topological Invariants and Quantum Critical Phenomena
Dirac Operators in Irregular Singular Geometries

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