Selected

Near-Optimal Sample Complexity for Matrix and Tensor Normal Models via Geodesic Convexity

Rank Bounds and PIT for depth-4 circuits (top-fanin 3) via a non-linear Edelstein-Kelly theorem

Primes via Zeros: interactive proofs for testing primality of natural classes of ideals

Strong Algebras and Radical Sylvester-Gallai Configurations

Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and moment polytopes

Operator scaling: theory and applications

Barriers for Rank Methods in Arithmetic Complexity

Factors of low individual degree polynomials