Papers

In preparation

(Feel free to ask me about these)

1. J. Giansiracusa and N. Giansiracusa, Grassmannians and Dressians in tropical geometry.

2. J. Giansiracusa, Generalized ribbon graph models for moduli spaces of surfaces with structures.

3. X. Gao and J. Giansiracusa, The structure of higher rank tropicalization.

4. A. Fink, J. Giansiracusa and N. Giansiracusa, Projective hypersurfaces in tropical scheme theory part II

Preprints

1. X. Crean, J.Giansiracusa, and B. Lucini, Topological Data Analysis of Monopoles in U(1) Lattice Gauge Theory, arXiv:2403.07739.

2. J. Giansiracusa, An E-infinity structure on the matroid Grassmannian, arXiv:2302.05509.

3. A. Fink, J. Giansiracusa and N. Giansiracusa, Projective hypersurfaces in tropical scheme theory part I: the Macaulay ideal, arXiv:2405.16338.

4. J. Giansiracusa, F. Rincón, V. Schleis, and M. Ulirsch, Log-concavity for independent sets of valuated matroids, arXiv:2407.05808.

Journal articles

1. Z. Urbancic and J. Giansiracusa, Ladder decomposition for morphisms of persistence modules, to appear in Journal of Applied and Computational Topology. arXiv:2307.03409.

2. I. Jones, and J. Swan and J. Giansiracusa, Algebraic dynamical systems in machine learning, Applied Categorical Structures 32, 4 (2024). https://doi.org/10.1007/s10485-023-09762-9, arXiv:2311.03118

3. J. Giansiracusa and S. Mereta, A general framework for tropical differential equations, manuscripta math., https://doi.org/10.1007/s00229-023-01492-5. arXiv:2111.03925. 

4. N. Sale, J. Giansiracusa, and B. Lucini, Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology, Phys. Rev. D 107, 034501, arXiv:2207.13392.

5. J. Giansiracusa and N. Giansiracusa, The universal tropicalization and the Berkovich analytification, Kybernetika 58 no. 5, 790-815, 2022, arXiv:1410.4348.

6. N. Sale, J. Giansiracusa, and B. Lucini, Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology, Phys. Rev. E 105, 024121, arXiv:2109.10960.

7. J. Giansiracusa, A. Kupers, and B. Tshishiku, Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem, Tunis. J. Math. 3 (2021), no. 1, 75–92, arXiv:1907.07782.

8. J. Giansiracusa, The circle transfer and cobordism categories, Proceedings of the Edinburgh Mathematical Society 62 (2019) no. 3 , 719-731, arXiv:1711.09433.

9. J. Giansiracusa, J. Jun and O. Lorscheid, On the relation between hyperrings and fuzzy rings, Beitr. Algebra Geom. 58 (2017) no. 4, 735–764, arXiv:1607.01973.

10. J. Giansiracusa and N. Giansiracusa, A Grassmann algebra for matroids, manuscripta math. 156 (2018) no. 1, 187-213. https://doi.org/10.1007/s00229-017-0958-z, ArXiv:1510.04584.

11. R. Fernandez Valencia and J. Giansiracusa, On the Hochschild homology of involutive algebras, Glasg. Math. J. 60 (2018), no. 1, 187–198, arXiv:1505.02219.

12. J. Giansiracusa and N. Giansiracusa, Equations of tropical varieties, Duke Math. J. 165 (2016), no. 18, 3379–3433. arXiv:1308.0042

13. J. Giansiracusa, Moduli spaces and modular operads, Morfismos 17 (2013), no. 2, 101-125.

14. T. Church, M. Crossley, J. Giansiracusa, Invariance properties of Miller-Morita-Mumford characteristic numbers The Quarterly Journal of Mathematics 64 (2013) 729–746. arXiv:1112.4961.

15. J. Giansiracusa, The framed litle 2-discs operad and diffeomorphisms of handlebodies, J Topology 4 (2011) no. 4, 919–941, arXiv:1008.3272.

16. J. Giansiracusa and U. Tillmann, Vanishing of universal characteristic classes for handlebody groups and boundary bundles, J Homotopy and Related Structures 6 (2011) 103–112. arXiv:0910.5367.

17. J. Giansiracusa and P. Salvatore, Cyclic formality of the framed 2-discs operad and genus zero stable curves, Tran. AMS 364 (2012), no. 11, 5881–5911. arXiv:0911.4430.

18. J. Giansiracusa and P. Salvatore, Formality of the framed little 2-discs operad and semidirect products, Proceedings of “Homotopy Theory of Function Spaces and Related Topics,” 115–121, Contemp. Math., 519, Amer. Math. Soc., Providence, RI, 2010. arXiv:0911.4428

19. J. Holland, J. Giansiracusa, S.G. Bell, L.-L. Wong and J. Dilworth, In vitro kinetic studies on the mechanism of oxygen-dependent cellular uptake of copper radiopharmaceuticals, Phys. Med. Biol. 54 (2009) 2103–2119. e print here

20. J. Ebert and J. Giansiracusa, Pontrjagin-Thom maps and the homology of the moduli stack of stable curves, Math. Ann. 349 (2011) 543–575. arXiv: math/0712.0702.

21. J. Ebert and J. Giansiracusa, On the homotopy type of the Deligne-Mumford compactification, Algebraic & Geometric Topology 8 (2008) 2049–2062. arXiv: math/0807.2576.

22. J. Giansiracusa, The diffeomorphism group of a K3 surface and Nielsen Realization, J. London Math. Soc. 79 (2009) 701-718. arXiv:math.GT/0705.4545.  (ERRATUM: There is a fundamental error in the proof of the main theorem of this paper.  See the corirgendum below and item 4 above in which a corrected proof is given.)

J.Giansiracusa, Corrigendum: The diffeomorphism group of a K3 surface and Nielsen Realization, J. London Math. Soc. 99 (2019) 965-966.

23. J. Giansiracusa, The stable mapping class group of simply connected 4-manifolds, J. reine angew. Math. 617 (2008) 215 – 235 arXiv: math.GT/0510599.

24. E. Esser, S.F. Pai, J. Giansiracusa, Cardboard Comfortable when it comes to Crashing, UMAP Journal, 24.3 (2003) 281-298. (pdf) .

25. B.A. Brown, R. Clement, H. Schatz, J. Giansiracusa, W.A. Richter, M. Hjorth-Jensen, K.-L. Kratz, B. Pfeiffer, and W.B. Walters, Nuclear Structure Theory for the Astrophysical rp-process and r-process, Proc. "Nuclear Physics in Astrophysics" - 17th International Nuclear Physics Divisional Conference of the EPS, Sept. 30 - Oct. 3 2002, ATOMKI, Debrecen, Hungary; Nucl. Phys. A719 (2003) 177c - 184c. (pdf) .

26. G.F. Bertsch, J. Giansiracusa, K. Yabana, Application of time-dependent density-functional theory to electron-ion couplng in ethylene,Israel Journal of Chemistry 42 151 (2002). arXiv: physics/0210043

27. J. Giansiracusa, E. Esser, R. Card, A Foul Weather Fountain, UMAP Journal, 23.3 (2002) 251-266. (pdf) .

Conference proceedings and miscellaneous

28. N. Sale, J. Giansiracusa, and B. Lucini,  Persistent homology as a probe for center vortices and deconfinement in SU(2) lattice gauge theory, Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August 2022, Bonn, Germany.
    (A condensed writeup of results from arXiv:2207.13392 )

29. A. Alldridge and J. Giansiracusa, Contravariant functoriality for twisted K-theory of stacks, Oberwolfach Reports, 46 (2006) 2796-2800.(pdf) .

30. J. Giansiracusa and D. Maulik, The moduli space of curves: a web resource for topologists, geometers, and others

Theses

• DPhil thesis: Diffeomorphism groups and cobordism categories, Merton College, University of Oxford (2007).  (pdf).

• BSc senior thesis: Steifel-Whitney Characteristic Classes and the Immersion Conjecture, University of Washington (2003). (pdf) .