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Compact enumeration formulas for generalized partitions

Description: Enumeration; Monotone Triangle; Plane Partition; Rhombus Tiling; Alternating Sign Matrix; Vector Partition Function
Amount: €1,111,000
Funding type: fellowship
Funder scheme: FWF START Award
Start date: 2010-05-01
End date: 2018-04-30
Funded outputs count: 27
Funder award ID: Y 463
OpenAlex ID: G6930856483
Diagonally symmetric alternating sign matrices
2026 · Roger E. Behrend, Ilse Fischer, et al. · Advances in Mathematics · 1
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A new determinant for the Q-enumeration of alternating sign matrices
2021 · Florian Aigner · Journal of Combinatorial Theory Series A · 3
Minimal braces
2020 · Phelipe A. Fabres, Nishad Kothari, et al. · Journal of Graph Theory · 1
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Refined enumeration of halved monotone triangles and applications to vertically symmetric alternating sign trapezoids
2020 · Hans Höngesberg · Journal of Combinatorial Theory Series A · 1
Fully packed loop configurations : polynomiality and nested arches
2020 · Florian Aigner · Discrete Mathematics & Theoretical Computer Science · 1
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Bijective proofs of skew Schur polynomial factorizations
2020 · Arvind Ayyer, Ilse Fischer · Journal of Combinatorial Theory Series A · 18
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A new decomposition of ascent sequences and Euler–Stirling statistics
2019 · Shishuo Fu, Emma Yu Jin, et al. · Journal of Combinatorial Theory Series A · 16
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Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions
2019 · Arvind Ayyer, Roger E. Behrend · Journal of Combinatorial Theory Series A · 13
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Constant term formulas for refined enumerations of Gog and Magog trapezoids
2018 · Ilse Fischer · Journal of Combinatorial Theory Series A · 9
The Determinant of an Elliptic Sylvesteresque Matrix
2018 · Universit&, Gaurav Bhatnagar, et al. · Symmetry Integrability and Geometry Methods and Applications · 2
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Restricted inversion sequences and enhanced 3-noncrossing partitions
2018 · Zhicong Lin · European Journal of Combinatorics · 29
Refined restricted inversion sequences
2017 · Kim, Dongsu, Lin, Zhicong · arXiv (Cornell University) · 12
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Diagonally and antidiagonally symmetric alternating sign matrices of odd order
2017 · Roger E. Behrend, Ilse Fischer, et al. · Advances in Mathematics · 30
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Lozenge tilings of hexagons with arbitrary dents
2015 · Mihai Ciucu, Ilse Fischer · Advances in Applied Mathematics · 18
Proof of two conjectures of Ciucu and Krattenthaler on the enumeration of lozenge tilings of hexagons with cut off corners
2015 · Mihai Ciucu, Ilse Fischer · Journal of Combinatorial Theory Series A · 17
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Wieland Drift for Triangular Fully Packed Loop Configurations
2015 · Sabine Beil, Ilse Fischer, et al. · The Electronic Journal of Combinatorics
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Vertically Symmetric Alternating Sign Matrices and a Multivariate Laurent Polynomial Identity
2015 · Ilse Fischer, Lukas Riegler · The Electronic Journal of Combinatorics · 8
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Fully Packed Loops in a triangle: Matchings, paths and puzzles
2014 · Ilse Fischer, Philippe Nadeau · Journal of Combinatorial Theory Series A · 6
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Spectra and eigenvectors of the Segre transformation
2014 · Ilse Fischer, Martina Kubitzke · Advances in Applied Mathematics · 4
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Combinatorial reciprocity for Monotone Triangles
2013 · Ilse Fischer, Lukas Riegler · Journal of Combinatorial Theory Series A · 2
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Crossings of signed permutations and $q$-Eulerian numbers of type $B$
2013 · Sylvie Corteel, Matthieu Josuat-Vergès, et al. · Journal of Combinatorics · 13
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Cumulants of the q-semicircular Law, Tutte Polynomials, and Heaps
2012 · Matthieu Josuat Vergès · Canadian Journal of Mathematics · 17
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Sequences of labeled trees related to Gelfand–Tsetlin patterns
2012 · Ilse Fischer · Advances in Applied Mathematics · 9
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The algebraic combinatorics of snakes
2012 · Matthieu Josuat-Vergès, Jean-Christophe Novelli, et al. · Journal of Combinatorial Theory Series A · 13
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Lefschetz properties and the Veronese construction
2012 · Martina Kubitzke, Satoshi Murai · Mathematical Research Letters · 2
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