Rate My Professor Jeffrey Giansiracusa

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.