Professor Andrea Brini
School of Mathematical and Physical Sciences
Professor of Mathematical Physics
+44 114 222 3751
Full contact details
School of Mathematical and Physical Sciences
J21
Hicks Building
Hounsfield Road
91Ö±²¥
S3 7RH
- Profile
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I did my undergraduate studies in Physics in Milan, and I got my PhD in Mathematical Physics at SISSA, Trieste in 2009 under the supervision of Boris Dubrovin and Alessandro Tanzini. I then spent time as a postdoc at the University of Geneva (2009-11), and later at Imperial College London (Marie Curie Fellow, 2011-13).
I obtained a CNRS permanent research post based at the University of Montpellier in 2013, and held visiting research positions again at Imperial College (2016-18) and MSRI Berkeley (2018), following which I took up an academic post in Birmingham in 2018. I joined the University of 91Ö±²¥ in 2019, on leave from CNRS.
My CV is .
- Research interests
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My research field lies at the intersection of Geometry and Mathematical Physics. I work on the mathematical aspects of String Theory and their interface with Integrable Systems and Algebraic Geometry. My main research topics are the theory of topological strings and Gromov-Witten theory, with emphasis on their connections to gauge theory, matrix models, integrable systems, and other moduli space problems.
I'm a member of the 91Ö±²¥ group.
- Publications
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Show: Featured publications All publications
Featured publications
Journal articles
- . Geometry and Topology, 28(1), 393-496.
- . Journal de l’École polytechnique — Mathématiques, 9, 907-957.
- . Proceedings of the London Mathematical Society, 121(4), 954-1032.
- . Journal für die reine und angewandte Mathematik (Crelles Journal), 2019(755), 191-245.
- . Advances in Theoretical and Mathematical Physics, 22(2), 305-394.
- . Journal of the European Mathematical Society, 19(3), 835-880.
- . Communications in Mathematical Physics, 313(3), 571-605.
- . Communications in Mathematical Physics, 312(3), 735-780.
- . Annales Henri Poincaré, 13(8), 1873-1910.
- . Selecta Mathematica, 17(4), 879-933.
- . Communications in Mathematical Physics, 289(1), 205-252.
All publications
Books
Journal articles
- . Geometry and Topology, 28(1), 393-496.
- . International Journal of Modern Physics A.
- . Journal de l’École polytechnique — Mathématiques, 9, 907-957.
- . Letters in Mathematical Physics, 112(3).
- . Bulletin of the London Mathematical Society.
- . Letters in Mathematical Physics, 111(4).
- . Communications in Mathematical Physics, 380(1), 449-522.
- . Proceedings of the London Mathematical Society, 121(4), 954-1032.
- . Journal of Algebra, 551, 301-341.
- . Journal für die reine und angewandte Mathematik (Crelles Journal), 2019(755), 191-245.
- . Advances in Theoretical and Mathematical Physics, 22(2), 305-394.
- Crepant resolutions and open strings II. Épijournal de Géométrie Algébrique, 2.
- . Journal of the European Mathematical Society, 19(3), 835-880.
- . Physica D: Nonlinear Phenomena, 241(23-24), 2156-2167.
- . Communications in Mathematical Physics, 313(3), 571-605.
- . Communications in Mathematical Physics, 312(3), 735-780.
- . Annales Henri Poincaré, 13(8), 1873-1910.
- . Selecta Mathematica, 17(4), 879-933.
- . Journal of Mathematical Physics, 52(5), 052305-052305.
- . Journal of Geometry and Physics, 60(3), 417-429.
- . Communications in Mathematical Physics, 289(1), 205-252.
- . Journal de l’École polytechnique — Mathématiques, 10, 1245-1246.
- . Communications in Number Theory and Physics, 17(2).
- . Journal of High Energy Physics, 2006(06), 050-050.
Chapters
Conference proceedings papers
- . Topological Recursion and its Influence in Analysis, Geometry, and Topology, Vol. 100 (pp 59-81), 4 July 2016 - 8 July 2016.
Preprints
- Refined Gromov-Witten invariants, arXiv.
- , 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.
- 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.
- Grants
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Current Grants
Mirror symmetry, quantum curves and integrable systems EPSRC
- Administrative duties
Head of Group, Algebraic Geometry and Mathematical Physics
Deputy Director of Research and Innovation, School of Mathematics and Statistics
Member, Strategic Advisory Team for Mathematical Sciences, EPSRC