Tiling Enumeration

Christian Krattenthaler

Team:

Subproject Leader: Christian Krattenthaler

PostDoc: Shane Chern (Xiaohang Chen)

PhD: Seamus Albion, Marcus Schönfelder

Results:

  • Multiple Rogers-Ramanujan type identities for torus links.
    Shane Chern
    arXiv:2411.07198 (associated to Project 6)
  • A generalization of conjugation of integer partitions
    Seamus Albion, Theresia Eisenkölbl, Ilse Fischer, Moritz Grangl, Hans Höngesberg, Christian Krattenthaler, Martin Rubey
    arXiv:2407.16043 (associated to Project 4 and 6)
  • Arithmetic properties of the Taylor coefficients of differentially algebraic power series
    Christian Krattenthaler, Tanguy Rivoal
    arXiv:2502.09259 (associated to Project 6)
  • A positivity conjecture for a quotient of q-binomial coefficients
    Mona Gatzweiler, Christian Krattenthaler 
    arXiv:2502.06032 (associated to Project 6)
  • Refined enumeration of two-rowed set-valued standard tableaux via two-coloured Motzkin paths
    Christian Krattenthaler
    arXiv:2501.09208 (associated to Project 6)