Approximation of functions on manifolds in high dimension from noisy scattered data

I am a Phillip Griffiths Assistant Research Professor at Duke University's math department as well as at the Rhodes Interdisciplinary Initiative, working with Prof. Ingrid Daubechies. In 2021 I completed my Ph.D. at the Department of Applied Mathematics, School of Mathematical Sciences, Tel Aviv University, under the supervision of Prof. David Levin and Prof. Yoel Shkolnisky.

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.

I am co-organizing the AMS Special Session on Computational techniques to study the geometry of the shape space at Joint Mathematics Meetings (JMM) in San Francisco, CA on Jan 3-6 2024. Registration is open!