Staff profile

My research interests include topology and homotopy theory of moduli spaces and oeprads, tropical geometry, non-archimedean geometry, topological data analysis, machine learning and AI.  I am Deputy Director of the EPSRC-funded Erlangen Programme for AI research Hub.

I did my DPhil in Oxford, supervised by Ulrike Tillmann.  I worked at the IHES and then Oxford and Bath as a postdoc, and then spent many years in Swansea. 

 

Homepage: https://sites.google.com/view/jeffreygiansiracusa/home

• Topological data analysis
• Tropical geometry
• Topology and homotopy theory
• Machine learning

Conference Paper

• Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories TDA of Abelian Magnetic Monopoles
  Crean, X., Giansiracusa, J., & Lucini, B. (2024, July). Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories TDA of Abelian Magnetic Monopoles. Presented at The 41st International Symposium on Lattice Field Theory (LATTICE2024), Liverpool, UK

Journal Article

• Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal
  Fink, A., Giansiracusa, J., Giansiracusa, N., & Mundinger, J. (2025). Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. Research in the Mathematical Sciences, 12, Article 30. https://doi.org/10.1007/s40687-025-00517-7
• Ladder Decomposition for Morphisms of Persistence Modules
  Giansiracusa, J., & Urbančič, Ž. (2024). Ladder Decomposition for Morphisms of Persistence Modules. Journal of Applied and Computational Topology, 8, 2069–2109. https://doi.org/10.1007/s41468-024-00174-9
• Topological Data Analysis of Monopole Current Networks in U(1) Lattice Gauge Theory
  Crean, X., Giansiracusa, J., & Lucini, B. (2024). Topological Data Analysis of Monopole Current Networks in U(1) Lattice Gauge Theory. SciPost Physics, 17(4), Article 100. https://doi.org/10.21468/SciPostPhys.17.4.100
• A general framework for tropical differential equations
  Giansiracusa, J., & Mereta, S. (2024). A general framework for tropical differential equations. manuscripta mathematica, 173(3-4), 1273-1304. https://doi.org/10.1007/s00229-023-01492-5
• Algebraic Dynamical Systems in Machine Learning
  Jones, I., Swan, J., & Giansiracusa, J. (2024). Algebraic Dynamical Systems in Machine Learning. Applied Categorical Structures, 32(1), Article 4. https://doi.org/10.1007/s10485-023-09762-9
• Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology
  Sale, N., Lucini, B., & Giansiracusa, J. (2023). Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology. Physical Review D, 107(3), Article 034501. https://doi.org/10.1103/physrevd.107.034501
• Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology
  Sale, N., Giansiracusa, J., & Lucini, B. (2022). Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology. Physical Review E, 105(2), https://doi.org/10.1103/physreve.105.024121
• The universal tropicalization and the Berkovich analytification
  Giansiracusa, J., & Giansiracusa, N. (2022). The universal tropicalization and the Berkovich analytification. Kybernetika (Prague. On-line), 58(5), 790-815. https://doi.org/10.14736/kyb-2022-5-0790