Professor Andrea Brini
School of Mathematical and Physical Sciences
Professor of Mathematical Physics
Full contact details
School of Mathematical and Physical Sciences
J21
Hicks Building
Hounsfield Road
Sheffield
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 Sheffield in 2019, on leave from CNRS.
My CV is here.
- 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 Sheffield Algebraic Geometry and Mathematical Physics group.
- Publications
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Show: Featured publications All publications
Featured publications
Journal articles
- Stable maps to Looijenga pairs. Geometry and Topology, 28(1), 393-496. View this article in WRRO
- Mirror symmetry for extended affine Weyl groups. Journal de l’École polytechnique — Mathématiques, 9, 907-957.
- E8 spectral curves. Proceedings of the London Mathematical Society, 121(4), 954-1032. View this article in WRRO
- Crepant resolutions and open strings. Journal für die reine und angewandte Mathematik (Crelles Journal), 2019(755), 191-245.
- Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems. Advances in Theoretical and Mathematical Physics, 22(2), 305-394.
- Rational reductions of the 2D-Toda hierarchy and mirror symmetry. Journal of the European Mathematical Society, 19(3), 835-880.
- 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.
- Torus Knots and Mirror Symmetry. Annales Henri Poincaré, 13(8), 1873-1910.
- Open orbifold Gromov-Witten invariants of $${[mathbb{C}^3/mathbb{Z}_n]}$$ : localization and mirror symmetry. Selecta Mathematica, 17(4), 879-933.
- Exact Results for Topological Strings on Resolved Y p,q Singularities. Communications in Mathematical Physics, 289(1), 205-252.
All publications
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- Stable maps to Looijenga pairs. Geometry and Topology, 28(1), 393-496. View this article in WRRO
- 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