Markus Fulmek

---

Homepage: http://www.mat.univie.ac.at/~mfulmek/

Fields of interest:
The main focus of my research lies in the area of bijective and algebraic combinatorics. In particular, I am interested in the combinatorial interpretation of determinants as generating functions of nonintersecting lattice paths, and in the enumeration of matchings.

Selected publications

• Lattice path proofs for determinant formulas for symplectic and orthogonal characters, (with C. Krattenthaler ), J. Combin. Theory Ser. A 77 (1997), 3-50.
• Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations, (with M. Kleber ), Electronic Journal of Combinatorics, (8), 2001, R16.
• Enumeration of permutations containing a prescribed number of occurrences of a pattern of length three, Paper in PDF-format (also math.CO/0112092 ), Adv. Appl. Math. 30 (2003), 607-632.
• Asymptotic behaviour of the average height of watermelons, Electronic Journal of Combinatorics 14 (1), 2007, R64.