Denka Kutzarova is a Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign. She holds an office in Altgeld Hall and specializes in functional analysis, particularly focusing on the geometry of Banach spaces and approximation theory. Her work includes studies on subsymmetric sequences, norms in Banach spaces, and greedy algorithms. Education: 1983 Ph.D. in Mathematics, University of Sofia, Bulgaria Research Interests: Dr. Kutzarova’s research explores advanced topics in functional analysis, including the geometric properties of Banach spaces, renorming theory, and the structure of infinite-dimensional spaces. She investigates properties like uniform convexity, uniform smoothness, and the interplay between these properties and operator theory. Her work also delves into approximation theory, greedy algorithms, and the construction of explicit matrices with restricted isometry properties for compressed sensing applications. Publications Overview: Her recent work focuses on subsymmetric sequences, 2-rotund norms, and metric embeddings. Key themes include the structural analysis of Banach spaces, properties of sequence spaces, and applications to transportation cost spaces. Her research bridges theoretical functional analysis with practical applications in approximation and matrix theory. Additional Contributions: Beyond academic work, she authored a series of novels titled Journey of the Guinea Pig , exploring themes of academia and cultural identity. She also contributes poetry, including works published in both Bulgarian and Russian.
