"Enumeration of rhombus tilings of a hexagon
which contain a fixed rhombus in the centre",
J. Combin. Theory Ser. A
96 (2001), no. 1, 31 -- 88.
math.CO/9906102
(with Charles H. C. Little
and Franz Rendl)
"Towards a characterisation of Pfaffian near bipartite graphs",
Discrete Math. 244 (2002), 279 -- 297.
math.CO/9909026
(with Charles H.C. Little)
"A characterisation of Pfaffian near bipartite graphs",
J. Combin. Theory Ser. B 82
(2001), no. 2, 175 -- 222.
math.CO/0002062
"Moments of inertia associated with the lozenge tilings of a hexagon",
Sem. Lothar. Combin. 45
(2000/01), Art B45f, 14pp. (electronic).
math.CO/0012126
"A bijective proof of the hook length formula for shifted standard tableaux",
preprint, December 2001.
math.CO/0112261
"A symmetry theorem on a modified jeu de taquin",
European J. Combin. 23 (2002), 929 -- 936.
math.CO/0112263
(with Charles H. C. Little)
"Even circuits of prescribed clockwise parity",
Elect. J. Combin. 10, R45, 20 pages.
math.CO/0203281
"A method for proving polynomial enumeration formulas",
J. Combin. Theory Ser. A 111 (2005), 37 -- 58.
math.CO/0301103
"Another refinement of the Bender-Knuth (ex-)Conjecture",
European J. Combin. 27 (2006), 290 -- 321.
math.CO/0401235
Mathematica-file with some
hypergeometric identities used in the paper
(with Gerald
Gruber, Franz Rendl and Renata Sotirov) "Computational experience with a bundle approach for semidefinite cutting plane
relaxations of Max-Cut and Equipartition",
Math. Program., Ser. B 105 (2006), 451 -- 469.
"The number of monotone triangles with prescribed bottom row",
Adv. Appl. Math. 37 (2006), no. 2, 249 -- 267.
math.CO/0501102
"A new proof of the refined alternating sign matrix theorem",
J. Combin. Theory Ser. A 114 (2007), no. 2, 253 -- 264.
math.CO/0507270
"An operator formula for the number of halved monotone triangles with prescribed bottom
row",
J. Combin. Theory Ser. A 116 (2009), no. 3, 515 -- 538.
math.CO/0702637
"The operator formula for monotone triangles --
simplified proof and three generalizations",
J. Combin. Theory Ser. A. 117 (2010), 1143 -- 1157.
arXiv:0903.4628
(with Dan Romik)
"More refined enumerations of alternating sign matrices",
Adv. Math 222 (2009), Issue 6, 2004 -- 2035.
arXiv:0903.5073
Mathematica-Package
"Refined enumerations of alternating sign matrices: monotone (d,m)-trapezoids with prescribed top and bottom row",
J. Alg. Combin. 33 (2011), no. 2, 239 -- 257.
arXiv:0907.0401
"Linear relations of refined enumerations of alternating sign matrices ",
J. Combin. Theory Ser. A 119 (2012), no. 2, 556 -- 578.
arXiv:1008.0527v1
"Sequences of labeled trees related to Gelfand-Tsetlin patterns ",
Adv. Appl. Math. 49 (2012), 165 -- 195.
arXiv:1104.0568v1
(with Lukas Riegler )
"Combinatorial Reciprocity for Monotone Triangles",
J. Combin. Theory Ser. A 120 (2013), 1372 - 1393.
arXiv:1111.2695
accepted for a FPSAC12 talk
(with Mihai Ciucu )
"A triangular gap of size two in a sea of dimers on a 60 degree
angle", J. Phys. A: Math. Theor. 45 (2012).
PDF
(with Philippe Nadeau )
"Fully Packed Loops in a triangle: matchings, paths and puzzles",
J. Combin. Theory Ser. A 130 (2015), 64-118.
arXiv:1209.1262
(with Martina Kubitzke )
"Spectra and eigenvectors of the Segre transformation",
Adv. Appl. Math. 56 (2014), 1-19.
arXiv:1303:5358
(with Mihai Ciucu )
"Proof of two conjectures of Ciucu and Krattenthaler
on the enumeration of lozenge tilings of hexagons
with cut off corners",
J. Combin. Theory Ser. A 133 (2015), 228-250.
arXiv:1309.4640
(with Lukas Riegler )
"Vertically symmetric alternating sign matrices and a multivariate Laurent polynomial identity",
Elect. J. Combin. 22, P1.5, 32 pages.
arXiv:1403.0535
An Oberwolfachreport on this topic.
(with Sabine Beil and Philippe Nadeau )
"Wieland gyration for triangular fully packed loop configurations ",
Elect. J. Combin. 22, P1.26, 17 pages.
arXiv:1406.1657
(with Mihai Ciucu )
"Lozenge tilings of hexagons with arbitrary dents ",
Adv. Appl. Math. 73 (2016), 1-22.
arXiv:1412.3945
(with Roger Behrend and Matja\v{z} Konvalinka )
"Diagonally and antidiagonally symmetric alternating sign matrices of odd order",
Adv. Math. 315 (2017), 324--365.
arXiv:1512.06030
"Counting integer points in polytopes associated with directed graphs",
Adv. Appl. Math. 79 (2016), 125-153. PDF
"Short proof of the ASM theorem avoiding the six-vertex model",
J. Combin. Theory Ser. A 144 (2016), 139-156. Fifty Years of the Journal of Combinatorial Theory! PDF
(with Arvind Ayyer and Roger Behrend )
"Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order",
Adv. Math. 367 (2020).
arXiv:1611.03823
"Constant term formulas for refined enumerations of Gog and Magog trapezoids",
J. Combin. Theory Ser. A 158 (2018), 560--604.
arXiv:1804.07054
"Enumeration of alternating sign triangles using a constant term approach",
arXiv:1804.03630
Trans. Amer. Math. Soc. 372 (2019), 1485--1508.
"A constant tern approach to enumerating alternating sign trapezoids",
Adv. Math. 356 (2019).
arXiv:1804.08681
(with Arvind Ayyer )
"Bijective proofs of skew Schur polynomial factorizations",
J. Combin. Theory Ser. A 174 (2020).
arXiv:1905.05226
(with Manjil P. Saikia )
"Refined Enumeration of Symmetry Classes of Alternating Sign Matrices",
J. Combin. Theory Ser. A 178 (2021).
arXiv:1906.07723
(with Matja\v{z} Konvalinka )
"A bijective proof of the ASM theorem, Part I: the operator formula",
Elect. J. Combin. 27, P3.35, 29 pages.
arXiv:1910.04198
(with Mihai Ciucu )
"Lozenge tilings of hexagons with removed core and satellites",
arXiv:1910.11004
(with Matja\v{z} Konvalinka)
"A bijective proof of the ASM theorem, Part II: ASM enumeration and
ASM-DPP relation",
to appear in Int. Math. Res. Not.
arXiv:1912.01354
(with Matja\v{z} Konvalinka)
"The first bijective proof of the refined ASM theorem",
Sem. Lothar. Combin. 84B, Proceedings of FPSAC'20.
PDF
(with Matja\v{z} Konvalinka)
"The mysterious story of square ice, piles of cubes, and bijections",
PNAS 2020,
PDF