Background

Research Interests

  • Manifold Learning | Diffusion Maps | Applied Differential Geometry and Topology | Mesh-Free Methods in PDE | Discrete and Finite Element Exterior Calculus | Numerical Analysis

Publications and Preprints

Presentations

  • (Upcoming Invited Talk) May 2020: A Data-Driven Approach to Solving Boundary Value Problems with Diffusion Maps. SIAM Conference on the Mathematics of Data Scinece, Cincinnati, OH.
  • March 2019: Student Research Talks, GMU. The Hodge Decomposition Theorem.
  • September 2018: Student Research Talks, GMU. Kernel Methods in Dimensionality Reduction.
  • September 2016: Student Research Talks, GMU. What is Persistent Homology?

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