Alejandro Parada-Mayorga

I develop mathematical frameworks that explain how information processing systems operate across diverse domains—from social networks and power grids to quantum and learning systems—by uncovering the shared algebraic structures underlying them. I am a tenure-track Assistant Professor in Electrical Engineering at the University of Colorado Denver, previously a postdoctoral researcher and research scientist at the University of Pennsylvania, and I earned my Ph.D. in Electrical Engineering from the University of Delaware. My research addresses the universal properties of information processing on arbitrary domains, showing that despite geometric and topological differences, many systems share common algebraic foundations. Using tools from representation theory, algebraic geometry and topology, and category theory, I develop principled methods for sampling, filtering, pooling, and stability analysis with broad applicability.