Preprints

• J. Stoppa,  Special Lagrangian sections and stability conditions on threefolds, arXiv:2508.17709 [math.AG]. link 

• J. Stoppa,  Nakai-Moishezon criteria and the toric Thomas-Yau conjecture, arXiv:2505.07228 [math.DG]. link   

• J. Stoppa, Toric mirrors and test configurations, arXiv:2412.03189 [math.AG]. link 

• J. Stoppa, K-stability and large complex structure limits, arXiv:2309.05291 [math.AG]. Accepted on Kyoto J. Math. link    

Published

• S. A. Filippini, and J. Stoppa, Scattering diagrams and Jeffrey-Kirwan residues, Commun. Number Theory Phys. pp. 319-354 Volume 19 (2025). link 

• J. Stoppa,  Some applications of canonical metrics to Landau–Ginzburg models, J. London Math. Soc. 111, no. 4 (2025) link 

• R. Ontani and J. Stoppa,  Log Calabi-Yau surfaces and Jeffrey-Kirwan residues, Math. Proc. Cambridge Philos. Soc. 176 (2024), no. 3, 547–592. link

• E. Schlitzer and J. Stoppa,  Examples of dHYM connections in a variable background, Canad. J. Math. 76 (2024), no. 5, 1609–1637.  link

• C. Scarpa and J. Stoppa, Special representatives of complexified Kähler classes. Selecta Math. (N.S.) 30 (2024), no. 4, Paper No. 64, 45 pp link 

• C. Scarpa and J. Stoppa, The HcscK equations in symplectic coordinates, Math. Z. 301 (2022), no. 1, 75–113. link

• E. Schlitzer and J. Stoppa, Deformed Hermitian Yang-Mills connections, extended gauge group and scalar curvature, J. London Math. Soc. 104, no. 2 (2021), 770-802. https://doi.org/10.1112/jlms.12447. link

• C. Scarpa and J. Stoppa, Solutions to Donaldson's hyperkähler reduction on a curve, J. Geom. Anal. 31, 2871-2889 (2021). https://doi.org/10.1007/s12220-020-00377-3. link

• A. Barbieri, T. Bridgeland and J. Stoppa, A quantized Riemann-Hilbert problem in Donaldson-Thomas theory, International Mathematics Research Notices, 2020;, rnaa294, https://doi.org/10.1093/imrn/rnaa294. link

• J. Stoppa, A note on BPS structures and Gopakumar-Vafa invariants, Communications in Number Theory and Physics, Vol. 13, No. 3, 627-645 (2019). link

• C. Scarpa and J. Stoppa, Scalar curvature and an infinite dimensional hyperkähler reduction, Asian J. Math., Vol. 24, No. 4, 671-724 (2020). link

• J. Stoppa, Stable pairs, flat connections and Gopakumar-Vafa invariants, Boll. Unione Mat. Ital. 14, 117-136 (2021), https://doi.org/10.1007/s40574-020-00243-8. Special Issue: (Proceedings of the XXI) Congress of the Italian Mathematical Union, Selected contributions. link

• J. Scalise and J. Stoppa, Variations of BPS structure and a large rank limit, Journal of the Institute of Mathematics of Jussieu, 20(1), 103-135 (2021). doi:10.1017/S1474748019000136 link

• A. Barbieri, J. Stoppa and T. Sutherland, A construction of Frobenius manifolds from stability conditions, Proc. London Math. Soc. 118, no. 6, 1328-1366 (2019). link

• G. Codogni and J. Stoppa, Torus equivariant K-stability, in "Moduli of K-stable varieties", Springer INdAM Series vol. 31 (2019), Springer International Publishing, ISBN 978-3-030-13157-9. link

• A. Barbieri and J. Stoppa, Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property, Comm. Anal. Geom., Vol. 27, No. 2, 287-327 (2019), arXiv:1512.01176 [math.AG]. link

• S. A. Filippini, M. Garcia-Fernandez and J. Stoppa, Stability data, irregular connections and tropical curves, Sel. Math. New Ser. (2017) 23: 1355. https://doi.org/10.1007/s00029-016-0299-x. link

• S. A. Filippini and J. Stoppa, TBA type equations and tropical curves, International Journal of Mathematics 27, no. 7, 1640005 (2016).

• S. A. Filippini and J. Stoppa, Block-Gõttsche invariants from wall-crossing, Compositio Mathematica 151, no. 8, 1543-1567 (2015). link

• J. Stoppa, Joyce-Song wall-crossing as an asymptotic expansion, Kyoto Journal of Mathematics 54, no. 1, 103-156 (2014). link

• M. Reineke, J. Stoppa, and T. Weist, MPS formula for quiver moduli and refined GW/Kronecker correspondence, Geometry & Topology 16, no. 4, 2097-2134 (2012). link

• J. Stoppa, D0-D6 states counting and GW invariants, Letters in Mathematical Physics 102, no. 2, 149-180 (2012). link

• J. Stoppa, A note on the definition of K-stability, arXiv:1111.5826 [math.AG]. 2 pages. A small erratum to Adv. Math.  221, no. 4, 1397-1408 (2009). link

• J. Stoppa, Universal covers and the GW/Kronecker correspondence, Communications in Number Theory and Physics 5, no. 2, 1-43 (2011). link

• J. Stoppa and G. Szekelyhidi, Relative K-stability of extremal metrics, Journal of the European Mathematical Society 13, no. 4, 899-909 (2011). link

• J. Stoppa and R. P. Thomas, Hilbert schemes and stable pairs: GIT and derived category wall crossings, Bulletin de la Societe Mathematique de France 139, no. 3, 297-339 (2011). link 

• J. Stoppa and E. Tenni, A simple limit for slope instability, International Mathematics Research Notices 2010:1816-1830 (2010). link

• J. Stoppa, Unstable blowups, Journal of Algebraic Geometry 19, 1-17 (2010). link

• J. Stoppa, Twisted constant scalar curvature Kähler metrics and Kähler slope stability, Journal of Differential Geometry 83, no. 3, 663-691 (2009). link

• J. Stoppa, K-stability of constant scalar curvature Kähler manifolds, Advances in Mathematics 221, no. 4, 1397-1408 (2009). link