Regular biography
Dr Daniele Celoria is a Lecturer in the School of Mathematics and Physics at The University of Queensland. His research interests include low-dimensional geometric topology, with a focus on knot theory, quantum invariants of 3-manifolds, and knot homologies, particularly in relation to concordances and 4-dimensional smooth topology. He is also interested in the connections between discrete structures, such as matchings and discrete Morse functions, and their smooth counterparts, as well as applying techniques from topological data analysis to knot theory. Dr Celoria has published extensively in journals such as the Journal of Pure and Applied Algebra, Homology, Homotopy and Applications, and the Proceedings of the Royal Society of Edinburgh Section A: Mathematics.
Scholar-generated biography
Daniele Celoria is a researcher specializing in low-dimensional topology and knot theory. His work explores topics such as cobordisms, concordances, and Heegaard Floer homology, with a focus on understanding the topological properties of knots and 3-manifolds. Celoria has contributed to the development of grid diagrams as tools for analyzing knot spaces and DNA topology. His research also involves categorification, graph überhomology, and the application of persistent homology to study knot confinement. Additionally, he has worked on rational cobordisms, integral homology, and the Reidemeister graph as a complete knot invariant. His publications highlight the interplay between algebraic and geometric methods in low-dimensional topology.