|Office Location:||214 Physics Building|
|Office Phone:||(919) 660-2837|
|Ph.D. Mathematics||Stanford University, USA||2011|
|B.S. Mathematics (Summa Cum Laude)||Universidad del Valle, Cali, Colombia||2006|
Current projects: Periodicity in Gene expression data, Persistent homology of time-delay embeddings, Persistent cohomology and projective coordinates, Obstruction theory for data analysis, Persistence diagrams, densities and machine learning, Topological reconstruction of the otic placode, Time-delay embeddings, chaos and chatter
My research focus lies at the intersection of algebraic topology, data analysis and computational methods. My main interest consists in the application and adaptation of ideas from algebraic and geometric topology to the study of high-dimensional and complex data. Other interests include computer vision and computational biology.