Professor Andrea Brini

All publications

Books

• (2018) Topological Recursion and its Influence in Analysis, Geometry, and Topology. American Mathematical Society.

Journal articles

• Brini A, Bousseau P & van Garrel M (2024) Stable maps to Looijenga pairs. Geometry and Topology, 28(1), 393-496. View this article in WRRO
• Brini A (2023) Enumerative geometry of surfaces and topological strings. International Journal of Modern Physics A.
• Brini A & van Gemst K (2022) Mirror symmetry for extended affine Weyl groups. Journal de l’École polytechnique — Mathématiques, 9, 907-957.
• Brini A & Osuga K (2022) Five-dimensional gauge theories and the local B-model. Letters in Mathematical Physics, 112(3).
• Bousseau P, Brini A & van Garrel M (2022) On the log-local principle for the toric boundary. Bulletin of the London Mathematical Society. View this article in WRRO
• Bousseau P, Brini A & Garrel MV (2021) Stable maps to Looijenga pairs: orbifold examples. Letters in Mathematical Physics, 111(4).
• Bouchard V, Ciosmak P, Hadasz L, Osuga K, Ruba B & Sułkowski P (2020) Super quantum airy structures. Communications in Mathematical Physics, 380(1), 449-522. View this article in WRRO
• Brini A (2020) E8 spectral curves. Proceedings of the London Mathematical Society, 121(4), 954-1032. View this article in WRRO
• Brini A (2020) Exterior powers of the adjoint representation and the Weyl ring of E8. Journal of Algebra, 551, 301-341.
• Brini A, Cavalieri R & Ross D (2019) Crepant resolutions and open strings. Journal für die reine und angewandte Mathematik (Crelles Journal), 2019(755), 191-245.
• Borot G & Brini A (2018) Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems. Advances in Theoretical and Mathematical Physics, 22(2), 305-394.
• Brini A & Cavalieri R (2018) Crepant resolutions and open strings II. Épijournal de Géométrie Algébrique, 2.
• Brini A, Carlet G, Romano S & Rossi P (2017) Rational reductions of the 2D-Toda hierarchy and mirror symmetry. Journal of the European Mathematical Society, 19(3), 835-880.
• Brini A, Carlet G & Rossi P (2012) Integrable hierarchies and the mirror model of local CP1. Physica D: Nonlinear Phenomena, 241(23-24), 2156-2167.
• Brini A (2012) The Local Gromov–Witten Theory of $${mathbb{C}mathbb{P}^1}$$ and Integrable Hierarchies. Communications in Mathematical Physics, 313(3), 571-605.
• Brini A (2012) Open Topological Strings and Integrable Hierarchies: Remodeling the A-Model. Communications in Mathematical Physics, 312(3), 735-780.
• Brini A, Mariño M & Eynard B (2012) Torus Knots and Mirror Symmetry. Annales Henri Poincaré, 13(8), 1873-1910.
• Brini A & Cavalieri R (2011) Open orbifold Gromov-Witten invariants of $${[mathbb{C}^3/mathbb{Z}_n]}$$ : localization and mirror symmetry. Selecta Mathematica, 17(4), 879-933.
• Brini A, Mariño M & Stevan S (2011) The uses of the refined matrix model recursion. Journal of Mathematical Physics, 52(5), 052305-052305.
• Brini A, Griguolo L, Seminara D & Tanzini A (2010) Chern–Simons theory on L(p,q) lens spaces and Gopakumar–Vafa duality. Journal of Geometry and Physics, 60(3), 417-429.
• Brini A & Tanzini A (2009) Exact Results for Topological Strings on Resolved Y p,q Singularities. Communications in Mathematical Physics, 289(1), 205-252.
• Brini A & van Gemst K () Corrigendum: Mirror symmetry for extended affine Weyl groups. Journal de l’École polytechnique — Mathématiques, 10, 1245-1246.
• Brini A & Schuler Y () On quasi-tame Looijenga pairs. Communications in Number Theory and Physics, 17(2).
• Brini A & Forcella D () Comments on the non-conformal gauge theories dual toYp,qmanifolds. Journal of High Energy Physics, 2006(06), 050-050.

Chapters

• Brini A (2018) On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds (pp. 59-81). American Mathematical Society

Conference proceedings papers

• Brini A (2018) On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds. Topological Recursion and its Influence in Analysis, Geometry, and Topology, Vol. 100 (pp 59-81), 4 July 2016 - 8 July 2016. View this article in WRRO

Preprints

• Brini A & Schuler Y (2024) Refined Gromov-Witten invariants, arXiv.
• Brini A (2022) Enumerative geometry of surfaces and topological strings, arXiv.
• Brini A & Schüler Y (2022) On quasi-tame Looijenga pairs, arXiv.
• Brini A & Osuga K (2021) Five-dimensional gauge theories and the local B-model, arXiv.
• Brini A & van Gemst K (2021) Mirror symmetry for extended affine Weyl groups, arXiv. View this article in WRRO
• Bousseau P, Brini A & van Garrel M (2020) Stable maps to Looijenga pairs: orbifold examples, arXiv.
• Bousseau P, Brini A & van Garrel M (2020) Stable maps to Looijenga pairs, arXiv.
• Brini A (2019) Exterior powers of the adjoint representation and the Weyl ring of $E_8$, arXiv.
• Brini A (2017) On the Gopakumar-Ooguri-Vafa correspondence for Clifford-Klein 3-manifolds, arXiv.
• Brini A (2017) $E_8$ spectral curves, arXiv.
• Borot G & Brini A (2015) Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems, arXiv.
• Brini A & Cavalieri R (2014) Crepant resolutions and open strings II, arXiv.
• Brini A, Carlet G, Romano S & Rossi P (2014) Rational reductions of the 2D-Toda hierarchy and mirror symmetry, arXiv.
• Brini A, Cavalieri R & Ross D (2013) Crepant resolutions and open strings, arXiv.
• Brini A, Cavalieri R & Ross D (2013) The open string McKay correspondence for type A singularities, arXiv.
• Brini A, Carlet G & Rossi P (2011) Integrable hierarchies and the mirror model of local CP1, arXiv.
• Brini A, Eynard B & Marino M (2011) Torus knots and mirror symmetry, arXiv.
• Brini A (2011) Open topological strings and integrable hierarchies: Remodeling the A-model, arXiv.
• Brini A, Marino M & Stevan S (2010) The uses of the refined matrix model recursion, arXiv.
• Brini A & Cavalieri R (2010) Open orbifold Gromov-Witten invariants of [C^3/Z_n]: localization and mirror symmetry, arXiv.
• Brini A (2010) The local Gromov-Witten theory of CP^1 and integrable hierarchies, arXiv.
• Brini A, Griguolo L, Seminara D & Tanzini A (2008) Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality, arXiv.
• Brini A & Tanzini A (2008) Exact results for topological strings on resolved Y(p,q) singularities, arXiv.
• Brini A & Forcella D (2006) Comments on the non-conformal gauge theories dual to Ypq manifolds, arXiv.