Regular biography
Dr Katie Clinch is a Lecturer in Mathematics at The University of Queensland, School of Mathematics and Physics. Her research interests include combinatorics and pure mathematics, with a focus on areas such as graph theory, rigidity of frameworks, and algorithmic analysis. She has contributed to various publications, including book chapters, journal articles, and conference papers, often collaborating with researchers in the field. Dr Clinch's work explores mathematical structures and their applications, particularly in combinatorial optimization and discrete geometry.
Scholar-generated biography
Katie Clinch is a researcher at the University of Queensland with expertise in graphs, matroids, rigidity, and algorithms. Her work explores combinatorial characterizations of 3-rigidity, bivariate splines, and the global rigidity of direction-length frameworks. She investigates the properties of matroids in the context of geometric constraint systems and develops algorithms for problems such as multi-robot task allocation and vertex cover. Her research also includes the study of NAC-colourings, stable cuts, and the combinatorial structure of graph classes with bounded treewidth. Clinch contributes to the understanding of symmetry and flexibility in frameworks, with applications in computational geometry and optimization.