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 Matjaz 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",

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

Accepted by the Transactions of the AMS."Enumeration of alternating sign trapezoids and a constant term approach",

arXiv:1804.08681

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: