Research

My research focuses on understanding how hidden symmetry and algebraic structure can be recovered from geometric and matrix-based data. I am particularly interested in finite group representations, orbit structures, and the interaction between algebra, geometry, and computation.

Current directions of my work include:

• recovery of finite group structures from orbit-generated Gram matrices,

• structured and orthogonal matrix systems,

• inverse problems involving symmetry reconstruction,

• computational and optimization-based methods for algebraic recovery.

More broadly, my research combines ideas from Representation Theory, inverse problems, and structured linear algebra to study hidden patterns arising in mathematical systems.