Christian Krattenthaler
Homepage: http://www.mat.univie.ac.at/~kratt
Fields of interest:
Combinatorics, Statistical Physics, Special Functions, Number Theory.
The main focus of my research lies in the area of Enumerative and
Algebraic Combinatorics. I am interested in all kinds of enumeration
problems, on an exact or an asymptotic level. I like particularly
problems that come from or are inspired by Algebra (group theory,
representation theory, ...), Statistical Physics, or Number Theory.
The nature of the problems that I am dealing with explains my
preoccupation with hypergeometric series, which form the link
in my work to Number Theory.
Selected publications
- Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes, Adv. Appl. Math. 37 (2006), 404-431.
- Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions, (with T. W. Müller), Trans. Amer. Math. Soc. 362 (2010), 2723-2787.
- Watermelon configurations with wall interaction: exact and asymptotic results, J. Physics Conf. Series 42 (2006), 179-212.
- Advanced determinant calculus: a complement, Linear Algebra Appl. 411 (2005), 64-166.
- Hypergéométrie et fonction zêta de Riemann, (with T. Rivoal), Mem. Amer. Math. Soc. 186, no. 875, Providence, R. I., 2007, 87 pp.
- On the integrality of the Taylor coefficients of mirror maps, (with T. Rivoal), Duke Math. J. 151 (2010), 175-218.