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
Journal Article: 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
Journal Article: 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
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
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
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, 1-24. doi: 10.1017/prm.2023.104
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
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