Fields of interest:
The main focus of my research lies in the area of enumerative and algebraic combinatorics; earlier contributions concern graph theory. Current efforts are centered around plane partitions, alternating sign matrices and related objects, the enumeration of which subject to a variety of different constraints lead to formulas that are, on the one hand, of compelling simplicity, but, on the other hand, usually still require highly nontrivial proofs. Notably, the significance of these objects is also due to their close relations to various other areas such as representation theory of classical groups and statistical mechanics.
- Fully Packed Loops in a triangle: matchings, paths and puzzles, (with Philippe Nadeau), to appear in J. Combin. Theory Ser. A.
- Combinatorial Reciprocity for Monotone Triangles, (with Lukas Riegler), Combin. Theory Ser. A 120 (2013), 1372 - 1393.
- Sequences of labeled trees related to Gelfand-Tsetlin patterns, Adv. Appl. Math. 49 (2012), 165 -- 195.