# 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.*Graphical Condensation, Overlapping Pfaffians and Superpositions of Matchings*, Electronic Journal of Combinatorics17(1), 2010, R83.*Viewing determinants as nonintersecting lattice paths yields classical determinantal identities bijectively*, Electronic Journal of Combinatorics 19(3), 2012, P21.*Bijective proofs for Schur function identities*, (arXiv:0909.5334 [math.CO])