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Professor Jeffrey Giansiracusa is a Professor in the Department of Mathematical Sciences at Durham University. He obtained his DPhil from the University of Oxford, supervised by Ulrike Tillmann. After his doctorate, he held postdoctoral positions at the Institut des Hautes Études Scientifiques (IHES), the University of Oxford, and the University of Bath. He spent many years at Swansea University prior to his appointment at Durham. In addition to his academic role, he serves as Deputy Director of the EPSRC-funded Erlangen Programme for AI research Hub and acted as Chair of the Mathematical Sciences Athena Swan self-assessment team. His involvement includes EPSRC grants such as EP/R018472/1 and EP/Y028872/1.
Giansiracusa's research interests include topology and homotopy theory of moduli spaces and operads, tropical geometry, non-archimedean geometry, topological data analysis, machine learning, and artificial intelligence. He also focuses on topological data analysis, phase transitions in quantum field theory, and topology and geometry in machine learning and artificial intelligence. Key publications encompass 'Equations of tropical varieties' with N. Giansiracusa (Duke Mathematical Journal, 2016), 'Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology' with N. Sale and B. Lucini (Physical Review E, 2022), 'Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology' with N. Sale and B. Lucini (Physical Review D, 2023), 'A Grassmann algebra for matroids' with N. Giansiracusa (Manuscripta Mathematica, 2018), 'The framed little 2-discs operad and diffeomorphisms of handlebodies' (Journal of Topology, 2011), and 'Formality of the framed little 2-discs operad and semidirect products' with P. Salvatore (2010). Recent works include contributions to tropical scheme theory, persistence modules, and topological data analysis in gauge theories. His research bridges pure mathematics with applications in data science and physics.
