Systematic approaches to bijective proofs

Results:

• Bounded Littlewood identity related to alternating sign matrices
  Ilse Fischer
  Forum of Mathematics, Sigma (2024), Vol. 12:e124 1–44,
  doi:10.1017/fms.2024.70 (associated to Project 4)
• A generalization of conjugation of integer partition
  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)
• Off-diagonally symmetric alternating sign matrices
  Nishu Kumari
  arXiv:2503.18685 (associated to Project 4)
• Domino tilings, nonintersecting lattice paths and subclasses of Koutschan–Krattenthaler–Schlosser determinants
  Qipin Chen, Shane Chern, Atsuro Yoshida
  arXiv:2507.15665 (associated to Project 4 and 6)
• The number of monotone trapezoids with prescribed bottom row 
  Ilse Fischer, Hans Höngesberg
  arXiv:2502.09343 (associated to Project 4)
• On the generalised Foulkes conjecture for SL2(C) under divisibility conditions
  Moritz Gangl, Álvaro Gutiérrez, Michał Szwej
  arXiv:2507.06220 (associated to Project 4)
• More minor summation formulae
  Shane Chern, Theresia Eisenkölbl, Ilse Fischer, Moritz Gangl, Mona Gatzweiler, Álvaro Gutiérrez, Christian Krattenthaler, Nishu Kumari, Markus Reibnegger, Marcus Schönfelder, Atsuro Yoshida
  https://arxiv.org/abs/2603.21021 (associated to Project 4 and 6)
• Two Littlewood identities for fully inhomogeneous spin Hall-Littlewood symmetric rational functions
  Ilse Fischer, Moritz Gangl
  arXiv:2603.29836 (associated to Project 4)