J MORSE

Research Interests: Algebraic combinatorics

Publications

O Affine insertion and Pieri rules for the affine Grassmannian with T. Lam, L. Lapointe, and M. Shimozono

O A k-tableau characterization of k-Schur functions
      with L. Lapointe, Advances in Math, 213/1, 183--204 (2007) .

O Quantum cohomology and the k-Schur basis
      with L. Lapointe, to appear in Transactions of AMS .

O Tableaux on k+1-cores, reduced words for affine permutations, and k-Schur expanions
      with L. Lapointe, J Combin Theory Ser A, 112/1, 44--81 (2005).

O Order ideals in weak sublattices of Young's lattice and associated unimodality conjectures
      with L. Lapointe, Annals of Combin, 8, 197--219 (2004).

O Determinantal construction of orthogonal polynomials associated with root systems
        with J.F. Van Diejen and L. Lapointe, Compositio Math, 140/2, 255--273 (2004).

O Schur function identities, their t-analogs, and k-Schur irreducibility
        with L. Lapointe, Advances in Math, 180/1, 222-247 (2003).

O Schur function analogs for a filtration of the symmetric function space
      with L. Lapointe, J Combin Theory Ser A, 101/2, 191--224 (2003).

O Tableau atoms and a new Macdonald positivity conjecture
        with L. Lapointe and A. Lascoux, Duke Math J, 116/1, 103--146 (2003).

O Tableaux statistics for 2-part Macdonald polynomials
        with L. Lapointe, Algebraic Combinatorics and Quantum Groups, World Sci. Publishing, River Edge, NJ, 61--84 (2003).

O The distributions of the entries of Young tableaux
        with B. McKay and H. Wilf, J Combin Theory Ser A, 97/1, 117--128 (2002).

O Determinantal expression and recursion for Jack polynomials
        with L. Lapointe and A. Lascoux, Electronic J of Comb, 7, January (2000)

O Bivariate Knop-Sahi and Macdonald polynomials related to q-ultraspherical functions
        Discrete Math, 217/1-3, 293--299 (2000).

O Recursion and explicit formulas for particular N-variable Knop-Sahi and Macdonald polynomials
        J Combin Theory Ser A, 88, 1-18 (1999).

O Determinantal Expressions for Macdonald Polynomials
        with L. Lapointe and A. Lascoux, Internat Math Res Notices, 18, 957--978 (1998).

O Some classical expansions for Knop-Sahi and Macdonald polynomials
        Seminaire Lotharingien de Combinatoire, B41s, 29 pages (1998).


Conference Talks