Systematically learn and evaluate the latent geometry of high-dimensional data, with a focus on scRNAseq analysis

Curvature and Laplace-Beltrami estimation on triangulated surface meshes

Python library for differential geometry, providing numerical tools for intrinsic geometric computations and PDE solving on manifolds.

Multigrid solver for inverse Laplace-Beltrami equation.

Eigenvalues and eigenfunction of Laplace-Beltrami operator on a Möbius strip.

Public versions of my manuscripts.

Advanced Geometric Image Processing & Partial Differential Equations (PDEs). From foundational heat equations to Finsler, Randers, and Miron metric flows. Features Numba/CUDA hardware acceleration, multichannel vector diffusion, structural validation (SSIM, EPI), and an end-to-end custom anisotropic filtering library.