معرفی
Karen Meagher is a Professor and Chair of the Graduate Studies Committee in the Department of Mathematics and Statistics at the University of Regina's Faculty of Science. Her research focuses on combinatorics and algebraic graph theory, with particular emphasis on Erdős-Ko-Rado theorems and their extensions.
Her primary research interests include:
- Combinatorics and algebraic graph theory
- Erdős-Ko-Rado theorem generalizations
- Design theory and covering arrays
- Extremal set theory applied to partitions and permutations
- Zero-forcing sets and metric dimension of graphs
- Applications of algebraic methods to combinatorial problems
Analysis of her recent publications reveals a consistent focus on extending Erdős-Ko-Rado theory to various combinatorial structures including graphs, permutation groups, and set partitions. Her work frequently employs algebraic graph theory techniques and has significant applications in design theory and extremal combinatorics.
Meagher leads the Discrete Math Research Group at the University of Regina, which includes faculty members Shaun Fallat and Allen Herman, multiple post-doctoral fellows, and graduate students. She has supervised three PhD students to completion: Alison Purdy (2014), Fatemeh Alinaghipour (2013), and Bahman Ahmadi (2013), with Alison Purdy also completing a Master's under her supervision in 2010.
Outside of mathematics, Meagher maintains a 'super-nerdy hobby' of mathematical quilting, creating designs based on combinatorial structures like Greco-Latin squares.
