Dr Andrea Brini
School of Mathematics and Statistics
Senior Lecturer
Full contact details
School of Mathematics and Statistics
J21
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Profile
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Andrea graduated with a BSc in Physics (2003) and a MSc in Theoretical Physics (2005), both cum laude, from the University of Milan-Bicocca. He went on to study for a PhD in Mathematical Physics at the International School for Advanced Studies (SISSA/ISAS) in Trieste, graduating in 2009. After a postdoctoral stint at the University of Geneva, he obtained a Marie Curie Fellowship of the European Commission in 2011, followed by a permanent research post at the French Centre National de la Recherche Scientifique (CNRS) in 2013, based at the University of Montpellier. After holding visiting research positions at Imperial College London (2016-18) and MSRI Berkeley (2018, research member), he was appointed a Senior Lecturer at the University of Birmingham in September 2018, and then a Senior Lecturer at the University of Sheffield in September 2019.
- Research interests
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Andrea's interests lie at the intersection of Algebraic Geometry, Integrable Systems and High Energy Physics. His main research topic is the theory of topological strings and Gromov-Witten invariants, with emphasis on its connections with gauge theory, matrix models, integrable systems, and other moduli space problems.
- Publications
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Show: Featured publications All publications
Featured publications
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All publications
Books
- Topological Recursion and its Influence in
Analysis, Geometry, and Topology. American Mathematical
Society.
Journal articles
- Mirror symmetry for extended affine Weyl groups. Journal de l’École polytechnique — Mathématiques, 9, 907-957.
- Five-dimensional gauge theories and the local B-model. Letters in Mathematical Physics, 112(3).
- On the log-local principle for the toric boundary. Bulletin of the London Mathematical Society. View this article in WRRO
- Stable maps to Looijenga pairs: orbifold examples. Letters in Mathematical Physics, 111(4).
- Super quantum airy structures. Communications in Mathematical Physics, 380(1), 449-522. View this article in WRRO
- E8 spectral curves. Proceedings of the London Mathematical Society, 121(4), 954-1032. View this article in WRRO
- Exterior powers of the adjoint representation and the Weyl ring of E8. Journal of Algebra, 551, 301-341.
- Crepant resolutions and open strings. Journal für die reine und angewandte Mathematik (Crelles Journal), 2019(755), 191-245. View this article in WRRO
- Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems. Advances in Theoretical and Mathematical Physics, 22(2), 305-394. View this article in WRRO
- Crepant resolutions and open strings II. Épijournal de Géométrie Algébrique, 2. View this article in WRRO
- Rational reductions of the 2D-Toda hierarchy and mirror symmetry. Journal of the European Mathematical Society, 19(3), 835-880. View this article in WRRO
- Integrable hierarchies and the mirror model of local
- Torus Knots and Mirror Symmetry. Annales Henri Poincaré, 13(8), 1873-1910.
- The Local Gromov–Witten Theory of $${mathbb{C}mathbb{P}^1}$$ and Integrable Hierarchies. Communications in Mathematical Physics, 313(3), 571-605.
- Open Topological Strings and Integrable Hierarchies: Remodeling the A-Model. Communications in Mathematical Physics, 312(3), 735-780.
- Open orbifold Gromov-Witten invariants of $${[mathbb{C}^3/mathbb{Z}_n]}$$ : localization and mirror symmetry. Selecta Mathematica, 17(4), 879-933.
- The uses of the refined matrix model recursion. Journal of Mathematical Physics, 52(5), 052305-052305.
- Chern–Simons theory on L(p,q) lens spaces and Gopakumar–Vafa duality. Journal of Geometry and Physics, 60(3), 417-429.
- Exact Results for Topological Strings on Resolved Y p,q Singularities. Communications in Mathematical Physics, 289(1), 205-252.
- Comments on the non-conformal gauge theories dual toYp,qmanifolds. Journal of High Energy Physics, 2006(06), 050-050.
Chapters
- On the Gopakumar–Ooguri–Vafa correspondence
for Clifford–Klein 3-manifolds (pp. 59-81). American Mathematical
Society
Conference proceedings papers
- 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
- Enumerative geometry of surfaces and topological strings, arXiv.
- On quasi-tame Looijenga pairs, arXiv.
- Five-dimensional gauge theories and the local B-model, arXiv.
- Mirror symmetry for extended affine Weyl groups, arXiv. View this article in WRRO
- Stable maps to Looijenga pairs: orbifold examples, arXiv.
- Stable maps to Looijenga pairs, arXiv.
- Exterior powers of the adjoint representation and the Weyl ring of $E_8$, arXiv.
- On the Gopakumar-Ooguri-Vafa correspondence for Clifford-Klein
3-manifolds, arXiv.
- $E_8$ spectral curves, arXiv.
- Chern-Simons theory on spherical Seifert manifolds, topological strings
and integrable systems, arXiv.
- Crepant resolutions and open strings II, arXiv.
- Rational reductions of the 2D-Toda hierarchy and mirror symmetry, arXiv.
- Crepant resolutions and open strings, arXiv.
- The open string McKay correspondence for type A singularities, arXiv.
- Integrable hierarchies and the mirror model of local CP1, arXiv.
- Torus knots and mirror symmetry, arXiv.
- Open topological strings and integrable hierarchies: Remodeling the
A-model, arXiv.
- The uses of the refined matrix model recursion, arXiv.
- Open orbifold Gromov-Witten invariants of [C^3/Z_n]: localization and
mirror symmetry, arXiv.
- The local Gromov-Witten theory of CP^1 and integrable hierarchies, arXiv.
- Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality, arXiv.
- Exact results for topological strings on resolved Y(p,q) singularities, arXiv.
- Comments on the non-conformal gauge theories dual to Ypq manifolds, arXiv.
- Topological Recursion and its Influence in
Analysis, Geometry, and Topology. American Mathematical
Society.
- Grants
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Current Grants
Mirror symmetry, quantum curves and integrable systems EPSRC
- Administrative duties
MSc in Mathematical and Theoretical Physics – steering group member