My research focuses on applied mathematics, particularly on developing efficient and scalable numerical methods for a broad range of scientific computing problems with provable accuracy guarantees. I am also interested in leveraging machine learning techniques to address challenges in computational mathematics.

My research is in quantum error correction using techniques from representation theory.

My research is grounded in the field of Harmonic Analysis, and I am currently focused on applications of Optimal Transport Theory to Data and Signal Analysis, as well as Machine Learning, thus falling into the category of Applied Mathematics.

Dr. Kara’s research interests include the mathematics of decision making for complex systems.