I intersect pure mathematics with machine learning. I am interested in algebraic and geometric aspects of neural networks, manifold/representation learning, high-dimensional statistics, and topological data analysis.
Below you can find a selection of my academic works, subdivided into topics. For a complete list, please visit my Google Scholar profile. The symbol * denotes equal contribution.
In Rubik's Abstract Polytopes, I generalize the Rubik's cube to arbitrary regular polytopes. Below, you can play with the Rubik's torus.
