The University of Queensland

Journal Article

• GridPyM: a Python module to handle grid diagrams

  Barbensi, Agnese and Celoria, Daniele (2024). GridPyM: a Python module to handle grid diagrams. Journal of Software for Algebra and Geometry, 14 (1), 31-39. doi: 10.2140/jsag.2024.14.31

• From the Mayer-Vietoris spectral sequence to überhomology

  Caputi, Luigi, Celoria, Daniele and Collari, Carlo (2023). From the Mayer-Vietoris spectral sequence to überhomology. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. doi: 10.1017/prm.2023.104

• Categorifying connected domination via graph überhomology

  Caputi, Luigi, Celoria, Daniele and Collari, Carlo (2023). Categorifying connected domination via graph überhomology. Journal of Pure and Applied Algebra, 227 (9) 107381, 107381. doi: 10.1016/j.jpaa.2023.107381

• A note on grid homology in lens spaces: coefficients and computations

  Celoria, Daniele (2023). A note on grid homology in lens spaces: coefficients and computations. Glasgow Mathematical Journal, 65 (2), 457-479. doi: 10.1017/S0017089523000058

• Filtered simplicial homology, graph dissimilarity and überhomology

  Celoria, Daniele (2023). Filtered simplicial homology, graph dissimilarity and überhomology. Journal of Algebraic Combinatorics, 57 (3), 859-904. doi: 10.1007/s10801-022-01205-3

• A statistical approach to knot confinement via persistent homology

  Celoria, Daniele and Mahler, Barbara I. (2022). A statistical approach to knot confinement via persistent homology. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2261), 20210709. doi: 10.1098/rspa.2021.0709

• Filtered matchings and simplicial complexes

  Celoria, Daniele and Yerolemou, Naya (2022). Filtered matchings and simplicial complexes. Australasian Journal of Combinatorics, 82 (3), 335-352.

• Upsilon invariants from cyclic branched covers

  Alfieri, Antonio, Celoria, Daniele and Stipsicz, András (2021). Upsilon invariants from cyclic branched covers. Studia Scientiarum Mathematicarum Hungarica, 58 (4), 457-488. doi: 10.1556/012.2021.01515

• A discrete morse perspective on knot projections and a generalised clock theorem

  Celoria, Daniele and Yerolemou, Naya (2021). A discrete morse perspective on knot projections and a generalised clock theorem. Electronic Journal of Combinatorics, 28 (3). doi: 10.37236/9979

• The Reidemeister graph is a complete knot invariant

  Barbensi, Agnese and Celoria, Daniele (2020). The Reidemeister graph is a complete knot invariant. Algebraic and Geometric Topology, 20 (2), 643-698. doi: 10.2140/agt.2020.20.643

• Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology

  Barbensi, Agnese, Celoria, Daniele, Harrington, Heather A., Stasiak, Andrzej and Buck, Dorothy (2020). Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology. Science Advances, 6 (9) ARTN eaay1458, 1-8. doi: 10.1126/sciadv.aay1458

• Heegaard floer homology and concordance bounds on the Thurston norm

  Celoria, Daniele, Golla, Marco and Levine, Adam Simon (2020). Heegaard floer homology and concordance bounds on the Thurston norm. Transactions of the American Mathematical Society, 373 (1), 295-318. doi: 10.1090/tran/7906

• Rational cobordisms and integral homology

  Aceto, Paolo, Celoria, Daniele and Park, Junghwan (2020). Rational cobordisms and integral homology. Compositio Mathematica, 1825-1845. doi: 10.1112/S0010437X20007320

• On concordances in 3-manifolds

  Celoria, Daniele (2018). On concordances in 3-manifolds. Journal of Topology, 11 (1), 180-200. doi: 10.1112/topo.12051

• A note on cobordisms of algebraic knots

  Bodnár, József, Celoria, Daniele and Golla, Marco (2017). A note on cobordisms of algebraic knots. Algebraic and Geometric Topology, 17 (4), 2543-2564. doi: 10.2140/agt.2017.17.2543

• Cuspidal curves and Heegaard Floer homology

  Bodnár, József, Celoria, Daniele and Golla, Marco (2015). Cuspidal curves and Heegaard Floer homology. Proceedings of the London Mathematical Society, 112 (3), 512-548. doi: 10.1112/plms/pdv074