Goodberry, Benjamin Nathaniel2022-03-302022-03-302022-03-29vt_gsexam:34181http://hdl.handle.net/10919/109496Nonsymmetric Macdonald polynomials can be symmetrized in all their variables to obtain the (symmetric) Macdonald polynomials. We generalize this process, symmetrizing the nonsymmetric Macdonald polynomials in only the first k out of n variables. The resulting partially-symmetric Macdonald polynomials interpolate between the symmetric and nonsymmetric types. We begin developing theory for these partially-symmetric polynomials, and prove results including their stability, an integral form, and a Pieri-like formula for their multiplication with certain elementary symmetric functions.ETDenIn CopyrightMacdonald theoryPartially SymmetricAlmost SymmetricDissertation