Research Interests
My research interests span several areas, including • numerical analysis • mathematical modeling • robust and statistically significant analysis of high-dimensional data. I strive to explore new challenges that arise from high-dimensional data as well as study the story that the data geometry tells by modeling the data and posing new mathematical tools. In particular, my research is in • approximation theory in low and high-dimensions • geometric methods for manifold reconstruction • studying the geometry of the base manifold and its fibers • computer vision • image processing.
Notable applications of my current and past research include archaeology, evolutionary anthropology, Bible studies, art investigation, and general history. By applying my research to these diverse areas, I aim to contribute valuable insights and shed light on long debated questions.
My publication list (and most online available papers) can be viewed on Google Scholar.