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Enumerative Combinatorics

Enumerative Combinatorics

Enumerative combinatorics, while primarily motivated by counting problems, concerns the study of structures and their representations that have proven useful in an enumerative context. Our interests lie in several of the main topics in enumerative combinatorics, such as permutations and their representations, partially ordered sets, theory of partitions, Young tableaux, symmetric functions and q-analogues in combinatorics, such as q-(poly)matroids, subspace designs, and invariants of codes. Another source of motivation for our work is the combinatorics that arises in number theory, coding theory and statistical physics.


Assoc Prof Eimear Byrne
Research Interests
Discrete mathematics, combinatorics, algebraic coding theory, tensors, algebra in communications

(opens in a new window)Assoc Prof Mark Dukes
Research Interests: 
Algebraic & enumerative combinatorics, discrete mathematics, and their use in the analysis of complex systems.

(opens in a new window)Assoc Prof Robert Osburn
Research Interests: Number Theory, Q-Series, Modular Forms.

PhD students

Kevin Allen
Research interests: Combinatorics, knot theory, number theory.

Amal Alofi
Research Interests: Sandpile models on bipartite graphs.

Andrew Fulcher
Research interests: matroids, q-matroids, algebraic coding theory.

UCD School of Mathematics and Statistics

Room S3.04, Science Centre South, University College Dublin, Belfield, Dublin 4, Ireland.