Open Positions
The following positions are funded by the grant Geometry of infinite Young tableaux (Narodowe Centrum Nauki, OPUS programme). The project lies at the intersection of asymptotic representation theory (representations of the symmetric groups Sn as n→∞), algebraic combinatorics, integrable probability, and interacting particle systems.
We study infinite random Young tableaux arising from the Robinson–Schensted–Knuth correspondence — a central object connecting algebraic combinatorics and representation theory. Tracing paths in such a tableau produces coloured "river territories," and the boundaries between them turn out to obey exactly the same laws as coalescing Brownian motions, a canonical model from interacting particle systems. This project will prove this connection rigorously, and explore its consequences through a combination of probability theory, representation-theoretic characters, and combinatorial structure.
Post-doctoral position (48 months)
Location: Toruń, Poland. Duration: 48 months. No teaching obligations.
Requirements
- PhD in mathematics
- Specialization in algebraic combinatorics or representation theory preferred
- Background in (integrable) probability theory or asymptotic representation theory is advantageous
- Strong ability to work independently on challenging theoretical problems
PhD position (48 months)
Location: Toruń, Poland. Duration: 48 months.
Requirements
- Master's degree in mathematics or comparable
- Strong background in algebraic combinatorics, representation theory, or related areas
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This project is also related to coalescing random walks.
NCN ranking lists (select OPUS 30 and panel ST1).