# Ilse Fischer

**Homepage:** http://www.mat.univie.ac.at/~ifischer/

**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.

**Selected publications**

*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.