Tiling Enumeration

Christian Krattenthaler


Team:

Subproject Leader: Christian Krattenthaler

PostDoc: Shane Chern (Xiaohang Chen)

PhD: Seamus Albion, Marcus Schönfelder

Previously part of the team: Seamus Albion (01.04.2024-31.07.2025)


Results:

  • A bijective look at gapfree partitions: between local and global
    Shane Chern, Shishuo Fu, Dazhao Tang
    Ramanujan J (2025) Vol. 67, Nr. 34.
    doi: 10.1007/s11139-025-01078-7 (associated to Project 6)
  • 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
    Electronic J. Combin. (2025),  Vol. 32, Nr. 2.
    DOI:10.37236/13489 (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)
  • An Orthogonal View of Gaußian Polynomials
    Christian Krattenthaler, Brandt Kronholm, Paul Marsh
    arXiv:2510.14124 (associated to Project 6)
  • Bounded Littlewood identities with fixed number of odd rows or odd columns
    JiSun Huh, Jang Soo Kim, Christian Krattenthaler, Soichi Okada
    arXiv:2510.11054 (associated to Project 6)
  • Schur log-concavity and the quantum Pascal triangle
    Álvaro Gutiérrez, Christian Krattenthaler
    arXiv:2509.22648 (associated to Project 6)