Papers and Preprints: "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).(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 Matjaž 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",

Trans. Amer. Math. Soc. 372 (2019), 1485--1508.

arXiv:1804.03630"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 Matjaž 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 Matjaž 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 Matjaž Konvalinka) "The first bijective proof of the refined ASM theorem",

Sem. Lothar. Combin. 84B, Proceedings of FPSAC'20. PDF(with Florian Aigner, Matjaž Konvalinka, Philippe Nadeau, and Vasu Tewari) "Alternating Sign Matrices and Totally Symmetric Plane Partitions",

Sem. Lothar. Combin. 84B, Proceedings of FPSAC'20.

arXiv:2005.12448(with Matjaž Konvalinka) "The mysterious story of square ice, piles of cubes, and bijections",

PNAS 2020, PDF

Theses:

- "Der Satz von Skolem, Mahler, Lech - ein Ergebnis über die Nullstellen linearer Rekursionsfolgen", Master thesis, Vienna 1997.
- "Enumeration of perfect matchings: Rhombus tilings and Pfaffian graphs", Doctoral thesis, Vienna 2000.
- "A polynomial method for the enumeration of plane partitions and alternating sign matrices", Habilitation thesis, Vienna 2005.

My very first paper: