We are going to discuss recent progress on many problems in random matrix theory of a combinatorial nature, including several breakthroughs that solve long standing famous conjectures.
The author would like to thank NSF and AFORS for their generous support and K. Luh, C. Koenig, L. Addario-Berry, H. Nguyen, J. Huang, A. Litvak, K. Tikhomirov, and the referees for useful comments.
"Recent progress in combinatorial random matrix theory." Probab. Surveys 18 179 - 200, 2021. https://doi.org/10.1214/20-PS346