Below is a list of my publications and preprints in reverse chronological order.
Word maps and surface relations in symmetric groups. [arxiv]
Submitted.
Random permutations acting on k-tuples have near-optimal spectral gap for k=poly(n). [arXiv] Talk
Projection formulas and a refinement of Schur-Weyl-Jones duality for symmetric groups. [arXiv]
Here you can read my thesis, it is not intended for publication.