Professor Jeffrey Giansiracusa

Telephone: (01792) 295087
Email: JavaScript is required to view this email address.
Room: Office - 339
Third Floor
Computational Foundry
Bay Campus

Please visit my homepage at: 

I work across several areas of mathematics, broadly under the heading of Topology and Geometry, covering both pure and applied aspects.  I am involved in research in topological data analysis, the foundations of tropical geometry and algebraic geometry over the so-called field with one element, and homotopy theory in low-dimensional topology.

Areas of Expertise

  • Tropical geometry
  • Topology and homotopy theory
  • algebraic geometry
  • Moduli spaces
  • Topological quantum field theory
  • Operads
  • Mapping class groups and diffeomorphism groups


  1. Giansiracusa, J. The circle transfer and cobordism categories Proceedings of the Edinburgh Mathematical Society 1 13
  2. Giansiracusa, J., Giansiracusa, N. Equations of tropical varieties Duke Mathematical Journal 165 18 3379 3433
  3. Giansiracusa, J., Giansiracusa, N. A Grassmann algebra for matroids manuscripta mathematica 156 1-2 187 213
  4. Giansiracusa, J., Jun, J., Lorscheid, O. On the relation between hyperrings and fuzzy rings Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
  5. FERNÀNDEZ-VALÈNCIA, R., Giansiracusa, J. ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS Glasgow Mathematical Journal 60 01 187 198
  6. Giansiracusa, J. Moduli spaces and modular operads Morfismos 17 2 101 125
  7. Bertsch, G., Giansiracusa, J., Yabana, K., Giansiracusa, J. Application of time-dependent density-functional theory to electron-ion coupling in ethylene Israel Journal of Chemistry 42
  8. Holland, J., Giansiracusa, J., Bell, S., Wong, L., Dilworth, J., Giansiracusa, J. In vitrokinetic studies on the mechanism of oxygen-dependent cellular uptake of copper radiopharmaceuticals Physics in Medicine and Biology 54 7 2103 2119
  9. Ebert, J., Giansiracusa, J. Pontrjagin–Thom maps and the homology of the moduli stack of stable curves Mathematische Annalen 349 3 543 575
  10. Giansiracusa, J. The stable mapping class group of simply connected 4-manifolds Journal für die reine und angewandte Mathematik (Crelles Journal) 2008 617 215 235
  11. Giansiracusa, J., Giansiracusa, J. The diffeomorphism group of a K3 surface and Nielsen realization Journal of the London Mathematical Society 79 3 701 718
  12. Giansiracusa, J., Salvatore, P. Cyclic operad formality for compactified moduli spaces of genus zero surfaces Transactions of the American Mathematical Society 364 11 5881 5911
  13. Giansiracusa, J., Salvatore, P., Giansiracusa, J. Formality of the framed little 2-discs operad and semidirect products Contemporary Mathematics 519 115 121
  14. Giansiracusa, J., Tillmann, U., Giansiracusa, J. Vanishing of universal characteristic classes for handlebody groups and boundary bundles Springer/TCMS 6 1 103 112
  15. Giansiracusa, J., Giansiracusa, J. The framed little 2-discs operad and diffeomorphisms of handlebodies Journal of Topology 4 4 919 941
  16. Ebert, J., Giansiracusa, J. On the homotopy type of the Deligne–Mumford compactification Algebraic & Geometric Topology 8 4 2049 2062
  17. Church, T., Crossley, M., Giansiracusa, J., Crossley, M., Giansiracusa, J. Invariance properties of Miller-Morita-Mumford characteristic numbers of fibre bundles The Quarterly Journal of Mathematics


  • MA-131 Geometry: Mathematics, Logic and Communication

    An introduction to Euclidean geometry and the axiomatic method, as a basis for developing general mathematical skills including logic and communication.

  • MA-282 Game Theory and Optimization

    Game theory is about strategies for making decisions, in cases where there are two or more players. The complication is that the possible choices for the other players may influence a particular player's choice of strategy. Economics has many examples of the application of game theory, but it has also been applied to areas as diverse as global politics (e.g. the Cuban missile crisis) and evolutionary biology (e.g. the hawks and doves game). Optimisation is about finding the optimum strategy (e.g. maximising profit for a company) by maximising or minimising a function in a specified domain. Again it has applications in economics, but it has also been used in engineering design (e.g. genetic algorithms were used to design the superconducting magnets in the CERN particle accelerator) and molecular biology (modelling shapes of molecules by minimising energy).


  • Tropical geometry and p-adic differential equations (current)

    Other supervisor: Dr Grigory Garkusha
  • Tropical ideals and discriminants (current)

    Other supervisor: Dr Martin Crossley
  • Probability meets Topological Data Analysis (current)

    Other supervisor: Dr Pawel Dlotko
  • Generalisations of Tropical Geometry over Hyperfields. (current)

    Other supervisor: Dr Pawel Dlotko
  • Untitled (current)

    Other supervisor: Dr Nelly Villamizar
  • Applications of Topological Data Analysis (current)

    Other supervisor: Dr Pawel Dlotko
  • Consequences of demanding that agents employ computable strategies (current)

    Other supervisor: Dr Arno Pauly
  • 'Derived Categories and Enriched Category Theory' (awarded 2019)

    Other supervisor: Dr Grigory Garkusha
  • Discrete module categories (awarded 2018)

    Other supervisor: Dr Martin Crossley

Key Grants and Projects

Administrative Responsibilities

  • Director of Research - Department of Mathematics

    2016 - Present