Research

Research Areas

My research focuses on Mathematical Foundations of Generative Models, with particular interest in Topological Data Analysis, Optimal Transport and the problem of learning Data Manifolds. 

I have also worked on Graph Neural Networks, particularly with applications on Bioinformatics.

Ongoing Projects...

1. Topological Data Analysis and Diffusion Models

2. Optimal Transport and Diffusion Models

3. Wasserstein Push-forward Generative Models: interpretable bounds and equivalent formulations