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",
to appear in J. Combin. Theory Ser. A.
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", to appear in J. Alg. Combin.
arXiv:0907.0401"Linear relations of refined enumerations of alternating sign matrices ",
arXiv:1008.0527v1"Sequences of labeled trees related to Gelfand-Tsetlin patterns ",
arXiv:1104.0568v1
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: