Papers

  1. Perfect matchings of cellular graphs, J. Algebraic Combin. 5 (1996), 87-103.

  2. A remark on sets having the Steinhaus property, Combinatorica 16 (3) (1996), 321-324.

  3. Enumeration of perfect matchings in graphs with reflective symmetry, J. Combin. Theory Ser. A 77 (1997), 67-97.

  4. Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis (21 p) (with C. Krattenthaler and M. Fulmek), arXiv preprint, 1997.
  5. A complementation theorem for perfect matchings of graphs having a cellular completion, J. Combin. Theory Ser. A 81 (1998), 34-68.

  6. An improved upper bound for the three dimensional dimer problem, Duke Math. J. 94 (1998), 1-11.

  7. No-feedback card guessing for dovetail shuffles, Ann. Appl. Prob. 8 (1998), 1251-1269.

  8. Enumeration of lozenge tilings of punctured hexagons, J. Combin. Theory Ser. A 83 (1998), 268-272.

  9. The number of centered lozenge tilings of a symmetric hexagon (with C. Krattenthaler), J. Combin. Theory Ser. A 86 (1999), 103-126.

  10. The equivalence between enumerating cyclically symmetric, self-complementary and totally symmetric, self-complementary plane partitions, J. Combin. Theory Ser. A 86 (1999), 382-389.

  11. Higher dimensional Aztec diamonds and the (2^d+2)-vertex model, J. Algebraic Combin. 9 (1999), 281-293.

  12. Plane partitions II: 5 1/2 symmetry classes (with C. Krattenthaler), Advanced Studies in Pure Mathematics 28 (2000), 83-103.

  13. Enumeration of lozenge tilings of hexagons with a central triangular hole (with T. Eisenkolbl, C. Krattenthaler and D. Zare), J. Combin. Theory Ser. A 95 (2001), 251-334.

  14. A non-automatic (!) application of Gosper's algorithm evaluates a determinant from tiling enumeration (with C. Krattenthaler), Rocky Mountain J. Math., 32 (2002), 589--605.

  15. Enumeration of lozenge tilings of hexagons with cut off corners (with C. Krattenthaler), J. Combin. Theory Ser. A, 100 (2002), 201-231 .

  16. Perfect matchings and perfect powers, J. Algebraic Combin., 17 (2003), 335-375.

  17. The number of spanning trees of plane graphs with reflective symmetry (with W. Yan and F. Zhang), J. Combin. Theory Ser. A, 112 (2005), no. 1, 105-116.

  18. Rotational invariance of quadromer correlations on the hexagonal lattice, Adv. in Math., 191 (2005), 46
  19. Plane partitions I: A generalization of MacMahon's formula, Memoirs of Amer. Math. Soc., 178 (2005), no. 839, 107-144. (arXiv preprint math.CO/9808017).

  20. A random tiling model for two dimensional electrostatics, Memoirs of Amer. Math. Soc., 178 (2005), no. 839, 1-106. (arXiv preprint math-ph/0303067).

  21. A visual proof of a result of Knuth on spanning trees of Aztec diamonds in the case of odd order, Discrete Math. 307 (2007), 1957-1960.

  22. Symmetry classes of spanning trees of Aztec diamonds and perfect matchings of odd squares with a unit hole, J. of Algebraic Combin., 27 (2008), 493-538.
  23. Dimer packings with gaps and electrostatics, Proc. Natl. Acad. Sci. USA, 105 (2008), 2766-2772.
  24. The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions, Memoirs of Amer. Math. Soc. 199 (2009), no. 935, 1-100.
  25. A factorization theorem for classical group characters, with applications to plane partitions and rhombus tilings (with C. Krattenthaler), Advances in Combinatorial Mathematics: Proceedings of the Waterloo Workshop in Computer Algebra 2008, I. Kotsireas, E. Zima (eds.), Springer-Verlag, 2009, 39-60.
  26. The emergence of the electrostatic field as a Feynman sum in random tilings with holes, Trans. Amer. Math. Soc. 362 (2010), 4921-4954.
  27. A Casimir force in dimer systems, in ``Casimir Force, Casimir operators, and the Riemann Hypothesis,'' Mathematics for Innovation in Industry and Science, Ed. by Gerrit van Dijk and Masato Wakayama, De Gruyter Proceedings in Mathematics, 2010.
  28. Perfect matchings and applications, COE Lecture Note, 26. Math-for-Industry Lecture Note Series, Kyushu University, Faculty of Mathematics, Fukuoka, 2010, 1-67.
  29. The interaction of a gap with a free boundary in a two dimensional dimer system (with C. Krattenthaler), Comm. Math. Phys. 302 (2011), 253-289.
  30. Enumeration of perfect matchings of Fisher graphs of cubic graphs (with Y. Liu and C. Yang), Kyushu Journal of Mathematics 66 (2012), accepted, to appear.