Ilse Fischer

Ilse Fischer is a Professor in the Department of Mathematics at the Faculty of Mathematics, University of Vienna. She holds the titles of Univ.-Prof., Mag. Dr., and Privatdoz., reflecting her senior academic status and contributions to combinatorics. Her research is centered on algebraic and enumerative combinatorics, with a focus on alternating sign matrices, plane partitions, lozenge tilings, and symmetric functions.

Her research interests include:

• Enumerative and bijective combinatorics
• Alternating sign matrices and their symmetry classes
• Plane partitions and totally symmetric variants
• Lozenge tilings of hexagons with defects
• Gelfand-Tsetlin patterns and lattice path models
• Combinatorial identities and symmetric functions

Analysis of her recent publications (2020–2024) reveals a consistent focus on exact enumeration, combinatorial bijections, and algebraic structures. Her work often bridges combinatorics with mathematical physics, particularly through models like the six-vertex (square ice) model. She frequently collaborates with leading researchers such as Matjaž Konvalinka, Mircea Ciucu, and Florian Schreier-Aigner, publishing in top journals including Advances in Mathematics, European Journal of Combinatorics, and Algebraic Combinatorics.

She has received two scientific prizes, though specific names are not listed. Her academic activity remains strong, with ongoing projects and publications, indicating active research leadership.

She advises students and postdoctoral researchers, though specific names are not provided in the text. She has led multiple research projects, particularly in the areas of combinatorial enumeration and symmetric functions.

She is involved in collaborative research networks and regularly contributes to major combinatorics conferences such as FPSAC and AofA. Her work continues to advance foundational results in algebraic combinatorics, including bijective proofs of long-standing conjectures.