Professor Jeffrey Giansiracusa

Research Highlights

1. Giansiracusa, J. (2019). The circle transfer and cobordism categories. Proceedings of the Edinburgh Mathematical Society, 62(3), 1-13.

   https://doi.org/10.1017/S0013091518000615, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa44755

   https://arxiv.org/abs/1711.09433
2. Giansiracusa, J. & Giansiracusa, N. (2016). Equations of tropical varieties. Duke Mathematical Journal, 165(18), 3379-3433.

   https://doi.org/10.1215/00127094-3645544, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26475

   http://dx.doi.org/10.1215/00127094-3645544
3. Giansiracusa, J. & Giansiracusa, N. (2018). A Grassmann algebra for matroids. manuscripta mathematica, 156(1-2), 187-213.

   https://doi.org/10.1007/s00229-017-0958-z, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa33671
4. Giansiracusa, J., Jun, J., & Lorscheid, O. (2017). On the relation between hyperrings and fuzzy rings. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

   https://doi.org/10.1007/s13366-017-0347-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa32007
5. FERNÀNDEZ-VALÈNCIA, R. & Giansiracusa, J. (2018). ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS. Glasgow Mathematical Journal, 60(01), 187-198.

   https://doi.org/10.1017/S0017089516000653, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa30925
6. Giansiracusa, J. (2014). Moduli spaces and modular operads. Morfismos, 17(2), 101-125.

   SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18942

   http://issuu.com/morfismos/docs/v17n2dic2013
7. Bertsch, G., Giansiracusa, J., Yabana, K., & Giansiracusa, J. (2002). Application of time-dependent density-functional theory to electron-ion coupling in ethylene. Israel Journal of Chemistry, 42

   SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26477

   http://www.scopus.com/inward/record.url?eid=2-s2.0-0038780659&partnerID=MN8TOARS
8. Holland, J., Giansiracusa, J., Bell, S., Wong, L., Dilworth, J., & Giansiracusa, J. (2009). In vitrokinetic studies on the mechanism of oxygen-dependent cellular uptake of copper radiopharmaceuticals. Physics in Medicine and Biology, 54(7), 2103-2119.

   https://doi.org/10.1088/0031-9155/54/7/017, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26476

   http://www.scopus.com/inward/record.url?eid=2-s2.0-63649085984&partnerID=MN8TOARS
9. Ebert, J. & Giansiracusa, J. (2011). Pontrjagin–Thom maps and the homology of the moduli stack of stable curves. Mathematische Annalen, 349(3), 543-575.

   https://doi.org/10.1007/s00208-010-0518-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7887

   http://www.springerlink.com/content/p5761g1t781q3640
10. Giansiracusa, J. (2008). The stable mapping class group of simply connected 4-manifolds. Journal für die reine und angewandte Mathematik (Crelles Journal), 2008(617), 215-235.

    https://doi.org/10.1515/CRELLE.2008.031, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7888

    http://www.degruyter.com/view/j/crll.2008.2008.issue-617/crelle.2008.031/crelle.2008.031.xml

All Research

• Theory and Applications of Topological Data Analysis (current)

  PhD

  Other supervisor: Dr Yue Ren

• Consequences of demanding that agents employ computable strategies (current)

  PhD

  Other supervisor: Dr Arno Pauly

• Applications of Topological Data Analysis to Statistical Physics and other systems. (current)

  PhD

  Other supervisor: Prof Biagio Lucini

• The first topic in tropical geometry is about the isomorphism between n-step tropicalization of a variety X and the image of avriety X under n-valuation.«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /» The second topic is about method to find Grobner basis (current)

  PhD

  Other supervisor: Dr Nelly Villamizar

  Other supervisor: Dr Yue Ren

• Generalisations of Tropical Geometry over Hyperfields. (current)

  PhD

  Other supervisor: Dr Yue Ren

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

  PhD

  Other supervisor: Dr Grigory Garkusha

• 'Derived Categories and Enriched Category Theory' (awarded 2019)

  PhD

  Other supervisor: Dr Grigory Garkusha

• Tropical ideals and discriminants (awarded 2020)

  PhD

  Other supervisor: Dr Martin Crossley

• Discrete module categories (awarded 2018)

  PhD

  Other supervisor: Dr Martin Crossley

• 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).

• Oxford-Liverpool-Swansea Centre for Topological Data Analysis 2018 - 2023

  Funded by EPSRC grant EP/R018472/1, “New approaches to data science: application-driven topological data analysis”, with Pawel Dlotko, Ulrike Tillmann, Heather Harrington, Vitaliy Kurlin, £2.6M

• Differential Equations in Tropical and p-adic Geometry 2018 - 2021

  , with Joint project with Prof. Andrea Pulita (Grenoble), £85k

• Moduli spaces from a topological point of view 2010 - 2015

  Funded by EPSRC grant EP/I005908/1, £438k

• Senior Lecturer (2011-2016), Association Professor (2016-2019), , Swansea University

  2011 - Present

• EPSRC Research Fellow, University of Bath

  2010 - 2011

• Junior Research Fellow, Magdalen College, Oxford

  2007 - 2010

• William Hodge Fellow, Institute des Hautes Etudes Scientifique, Paris, France

  2006 - 2007

I am enthusiastic about public engagement.  I’ve reached thousands of Welsh primary and secondary school students through Master Classes and other activities, and I’ve appeared as a guest on the BBC RadioWales programme Science Café.