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.

Parts of this work are currently being prepared as a preprint.