Jensen, Megan Lisa2019-08-152019-08-152019https://hdl.handle.net/10365/30217The number of standard Young tableaux is given by the hook-length formula of Frame, Robinson, and Thrall. Recently, Naruse found a hook-length formula for the number of skew shaped standard Young tableaux. In a series of papers, Morales, Pak, and Panova prove the Naruse hook-length formula as well as q-analogues of Naruse's formula. In this paper, we will discuss their work, including connections between excited diagrams and Dyck paths.Young tableaux.Combinatorial analysis.Catalan numbers (Mathematics)Master's paper