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
- A characterisation of Pfaffian near bipartite graphs, (with C.H.C. Little), J. Combin. Theory Ser. B 82 (2001), 175 -- 222.
- A method for proving polynomial enumeration formulas, J. Combin. Theory Ser. A 111 (2005), 37 -- 58.
- The number of monotone triangles with prescribed bottom row, Adv. Appl. Math. 37 (2006), 249 -- 267.
- More refined enumerations of alternating sign matrices, (with D. Romik), Adv. Math. 222 (2009), 2004 -- 2035.