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Insitute of Mathematical Science

Nicholas Lindsay

Education

2014.9 - 2018.9  PhD in Mathematics, EPSRC Doctoral Training Centre: London School of Geometry and Number theory. PhD studies based at Kings College London

2010-2014  MMath degree in Mathematics, University of Warwick. ˆ


Research

In my research I study special classes of symplectic manifolds with a Hamiltonian group of symmetries. I am interested in the symplectic analogue of Fano varieties, called symplectic Fano manifolds, and to what extent these symplectic manifolds satisfy the boundedness of their algebraic counter-parts. In a joint work with Dmitri Panov we were able to show that 6-dimensional symplectic Fano manifolds with a Hamiltonian circle action are simply connected. One of the main tools was to apply results of 4-dimensional symplectic geometry, such as Seiberg-Witten theory, via symplectic reduction. Currently, I am working to investigate other geometric and topological properties of symplectic Fano manifolds with a Hamiltonian circle action.


Publications

ˆ S1-invariant symplectic hypersurfaces in dimension 6 and the Fano condition (Joint with Dmitri Panov). Journal of Topology, Volume 12, Issue 1, 2019

  



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